Chap 005 Master

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by Brad Jordan and Joe Smolira Version 7.0 Chapter 5 In these spreadsheets, you will le The following conventions are used 1) Given data in blue 2) Calculations in red NOTE: Some functions used in these spre the "Analysis ToolPak" or "Solver Add-I Ross, Westerfield, and Jordan's Spreadsh Essentials of Corporate Finance, 7th edition SUM NPV PV of an annuity PMT Annuity interest rate Annuity periods Annuity due EAR APR Nested function FV of an annuity Loan amortization worksheet

description

excersises

Transcript of Chap 005 Master

Page 1: Chap 005 Master

by Brad Jordan and Joe SmoliraVersion 7.0

Chapter 5 In these spreadsheets, you will learn how to use the following Excel functions:

The following conventions are used in these spreadsheets:

1) Given data in blue2) Calculations in red

NOTE: Some functions used in these spreadsheets may require that the "Analysis ToolPak" or "Solver Add-In" be installed in Excel.

Ross, Westerfield, and Jordan's Spreadsheet MasterEssentials of Corporate Finance, 7th edition

SUM

NPV

PV of an annuity

PMT

Annuity interest rate

Annuity periods

Annuity due

EAR

APR

Exponential function

Nested function

FV of an annuity

Loan amortization worksheet

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To install these, click on the Office button then "Excel Options," "Add-Ins" and select"Go." Check "Analysis ToolPak" and "Solver Add-In," then click "OK."

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In these spreadsheets, you will learn how to use the following Excel functions:

The following conventions are used in these spreadsheets:

NOTE: Some functions used in these spreadsheets may require that

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Chapter 5 - Section 1Present Value and Future Value of Multiple Cash Flows

Future Value of Multiple Unequal Cash Flows

t Cash flow1 $ 10,000 2 15,000 3 2,000 4 19,000 5 16,500

Interest rate: 10%

t Future value1 $ 14,641.00 2 19,965.00 3 2,420.00 4 20,900.00 5 16,500.00

Total: $ 74,426.00

RWJ Excel TipTo add the future values together, we used the SUM function. The SUM function is used so often that it has its own button on the Home menu.

Present Value of Multiple Unequal Cash Flows

t Cash flow0 $ 5,000,000 1 20,000,000 2 20,000,000 3 22,500,000 4 22,500,000

Unfortunately, Excel does not have a function to calculate the future value of multiple cash flows when the cash flows are of different amounts. However, we can calculate the future value of individual cash flows and sum them. Suppose we have the following set of cash flows:

What is the future value of these cash flows? We can set up a table to find the future value of each cash flow and sum the future values. Since we want the future value at year 5, we will use a simple trick. The number of years each cash flow will be compounded is 5 minus the year of the cash flow. So, we will use (5 - current year) as the number of periods and use the interest rate as an absolute reference. The future value of the cash flows is:

To find the present value of multiple unequal cash flows, we will first discuss the same method we used to find the future value of multiple unequal cash flows. Let's look at Mark Teixeira's contract which was discussed in the chapter opener. What is the present value of the contract?

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5 22,500,000 6 22,500,000 7 22,500,000 8 22,500,000

Interest rate: 12%

t Present value0 $ 5,000,000 1 $ 17,857,143 2 $ 15,943,878 3 $ 16,015,056 4 $ 14,299,157 5 $ 12,767,104 6 $ 11,399,200 7 $ 10,177,857 8 $ 9,087,373

Total: $ 112,546,767

Present value: $ 112,546,767

RWJ Excel TipThe NPV function is located under the Financial functions. We used the following arguments:

We can set up a table to find the present value of each cash flow similar to the table we used to find the future value of each cash flow. So, the present value of the contract is:

Excel does have a function that can be utilized to find the present value of unequal cash flows, the NPV, or net present value, function. We will discuss NPV in much more detail later, but for now, we will use it to find the present value of these cash flows. Using the NPV function, the present value of the contract is:

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While we could have entered each cash flow individually (Year 1 cash flow as Value 1, Year 2 cash flow as Value 2, etc.,) we chose to enter all of the cash flows as an array. Excel automatically places the cash flow one period apart when entered in this manner. Notice in cell C65, we had to add the cash flow at time o since we did not want to discount that cash flow.

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To add the future values together, we used the SUM function. The SUM function is used so often that it has its own button on the Home menu.

Unfortunately, Excel does not have a function to calculate the future value of multiple cash flows when the cash flows are of different amounts. However, we can calculate the future value of individual cash flows and sum them. Suppose we have the following set of cash flows:

What is the future value of these cash flows? We can set up a table to find the future value of each cash flow and sum the future values. Since we want the future value at year 5, we will use a simple trick. The number of years each cash flow will be compounded is 5 minus the year of the cash flow. So, we will use (5 - current year) as the number of periods and use the interest rate as an absolute reference. The future value of the cash flows is:

To find the present value of multiple unequal cash flows, we will first discuss the same method we used to find the future value of multiple unequal cash flows. Let's look at Mark Teixeira's contract which was discussed in the chapter opener. What is the present value of the contract?

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The NPV function is located under the Financial functions. We used the following arguments:

We can set up a table to find the present value of each cash flow similar to the table we used to find the future value of each cash flow. So, the present value of the

Excel does have a function that can be utilized to find the present value of unequal cash flows, the NPV, or net present value, function. We will discuss NPV in much more detail later, but for now, we will use it to find the present value of these cash flows. Using the NPV function, the present value of the contract is:

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While we could have entered each cash flow individually (Year 1 cash flow as Value 1, Year 2 cash flow as Value 2, etc.,) we chose to enter all of the cash flows as an array. Excel automatically places the cash flow one period apart when entered in this manner. Notice in cell C65, we had to add the cash flow at time o since we did not want to

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Chapter 5 - Section 2Valuing Level Cash Flows: Annuities and Perpetuities

Present Value for Annuity Cash Flows

Suppose you just won the lottery. Based on the following assumptions, what is the present value of your winnings?

Annual payment: $ 100,000 Number of years for payments: 25 Interest rate: 11%

Present value: $ 842,174.47

RWJ Excel TipTo find the present value of this annuity, we used the following arguments:

To find the annuity payment, Excel uses the PMT function. Suppose you are buying a house with the following terms:

Purchase price: $ 175,000

Finding the present value of an annuity is a simple task in Excel. Remember the Pmt argument in the PV and FV functions that we left blank in Chapter 5? The Pmt stands for the annuity payment. Finding the present value of an annuity uses the PV function with the annuity payment in the Pmt argument.

Rate is simply the interest rate, Nper is the number of periods, and Pmt is the annuity payment. Since there is no present value, we left this blank. Notice also that we put a negative sign in front of the payment. Excel works like a calculator in that one of the cash flows must be positive and one of the cash flows must be negative. If we had left the payment as a positive number we would have gotten a negative answer. Since we prefer our answers to show as positive, we entered a negative in front of the payment.

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Number of months for repayment: 240 Monthly interest rate: 0.50%

Monthly payment: $ 1,253.75

RWJ Excel TipTo find the annuity payment, we used the following arguments:

Retirement goal: $ 1,500,000 Annual amount to save: $ 3,000 Number of years to save: 35

Interest rate: 12.62%

RWJ Excel TipTo find the interest rate, we used the following arguments:

Rate is simply the interest rate, Nper is the number of periods, and Pv is the present value. Since there is no future value, we left this blank. Notice also that we put a negative sign in front of the present value. Excel works like a calculator in that one of the cash flows must be positive and one of the cash flows must be negative. If we had left the present value as a positive number we would have gotten a negative answer. Since we prefer our answers to show as positive, we entered a negative in front of the present value.

To find the interest rate for an annuity, Excel uses the RATE function. Suppose you are saving for retirement and know how much you will save every year, as well as a target retirement balance. What interest rate is necessary for you to reach your goal?

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Example 5.6: Finding the Number of Payments

You ran a little short on spring break, so you charged on your credit card. With the following assumptions, how long will it take you to pay off your credit card?

Amount owed: $ 1,000 Monthly payment: $ 20 Monthly interest rate: 1.50%

Number of months to pay off card: 93.11Number of years to pay off card: 7.76

To find the number of periods, Excel uses the NPER function.

RWJ Excel TipTo find the number of periods, we used the following arguments:

Nper is the number of periods, Pmt is the annuity payment, and Fv is the future value. Since there is no present value, we left this blank. Notice also that we put a negative sign in front of the payment. Excel requires that one of the cash flows be positive and one of the cash flows be negative. We could have made the payment positive and the future value negative and would have received the same answer.

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Future Value for Annuities

Annual savings: $ 3,000 Number of years to save: 30 Interest rate: 11%

Future value: $ 597,062.63

RWJ Excel TipTo find the future value of this annuity, we used the following arguments:

Rate is the interest rate per period, Pmt is the annuity payment, and Pv is the present value. Since there is no future value, we left this blank. Notice also that we put a negative sign in front of the payment. Excel requires that one of the cash flows be positive and one of the cash flows negative. We could have made the payment positive and the future value negative and would have received the same answer.

We can find the future value of an annuity using the Pmt argument in the FV function. Suppose you are saving for retirement. Based on the following assumptions, how much will you have when you retire?

Rate is simply the interest rate, Nper is the number of periods, and Pmt is the annuity payment. Since there is no present value, we left this blank. Notice also that we put a negative sign in front of the payment. Excel works like a calculator in that one of the cash flows must be positive and one of the cash flows must be negative. If we had left the payment as a positive number we would have gotten a negative answer. Since we prefer our answers to show as positive, we entered a negative in front of the payment.

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Present value: $ 25,000 Annual savings: $ 2,500 Number of years to save: 45 Interest rate: 11%

Future value: $ 5,204,852.44

RWJ Excel TipTo find the future value of these cash flows, we used the following arguments:

A Note On Annuities Due

Beginning of period annuity deposit: $ 2,000 Number of years: 35

The NPER and RATE functions can be used with the future value to find the number of periods or interest rate in the same manner we used these functions with the present value.

Of course, both the present value and future value functions can accommodate a lump sum value and annuity payment simultaneously. Suppose you are going to save an equal annual amount for retirement, but you also have a little bit saved for retirement. With the following assumptions, how much will you have when you retire?

Note that the payment and present value both have the same sign. This is because they are both the same type of cash flow, either an inflow or an outflow, depending on how you are viewing the cash flows.

So far, we have talked about ordinary annuities, that is, the payments occur at the end of the period. What about annuities due, where the payments occur at the beginning of the period. Suppose you are going to save for retirement and the first deposit will be made today. With the following assumptions, how much will you have when you are ready to retire?

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Interest rate: 10%

Future value: $ 596,253.61

RWJ Excel TipTo calculate the future value of an annuity due, we use the FV function and set the type of payments to beginning of period like this:

In the FV and PV functions, the Type represents the payment type. If this argument is left blank or a 0 (zero) is entered, Excel uses end of period payments. If a 1 (one) is entered, Excel uses beginning of period payments.

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Suppose you just won the lottery. Based on the following assumptions, what is the present value of your winnings?

To find the present value of this annuity, we used the following arguments:

To find the annuity payment, Excel uses the PMT function. Suppose you are buying a house with the following terms:

Finding the present value of an annuity is a simple task in Excel. Remember the Pmt argument in the PV and FV functions that we left blank in Chapter 5? The Pmt stands for the annuity payment. Finding the present value of an annuity uses the PV function with the annuity payment in the Pmt argument.

Rate is simply the interest rate, Nper is the number of periods, and Pmt is the annuity payment. Since there is no present value, we left this blank. Notice also that we put a negative sign in front of the payment. Excel works like a calculator in that one of the cash flows must be positive and one of the cash flows must be negative. If we had left the payment as a positive number we would have gotten a negative answer. Since we prefer our answers to show as positive, we entered a negative in front of the payment.

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To find the annuity payment, we used the following arguments:

To find the interest rate, we used the following arguments:

Rate is simply the interest rate, Nper is the number of periods, and Pv is the present value. Since there is no future value, we left this blank. Notice also that we put a negative sign in front of the present value. Excel works like a calculator in that one of the cash flows must be positive and one of the cash flows must be negative. If we had left the present value as a positive number we would have gotten a negative answer. Since we prefer our answers to show as positive, we entered a negative in front of the

To find the interest rate for an annuity, Excel uses the RATE function. Suppose you are saving for retirement and know how much you will save every year, as well as a target

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You ran a little short on spring break, so you charged on your credit card. With the following assumptions, how long will it take you to pay off your credit card?

To find the number of periods, Excel uses the NPER function.

To find the number of periods, we used the following arguments:

Nper is the number of periods, Pmt is the annuity payment, and Fv is the future value. Since there is no present value, we left this blank. Notice also that we put a negative sign in front of the payment. Excel requires that one of the cash flows be positive and one of the cash flows be negative. We could have made the payment positive and the

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To find the future value of this annuity, we used the following arguments:

Rate is the interest rate per period, Pmt is the annuity payment, and Pv is the present value. Since there is no future value, we left this blank. Notice also that we put a negative sign in front of the payment. Excel requires that one of the cash flows be positive and one of the cash flows negative. We could have made the payment positive

We can find the future value of an annuity using the Pmt argument in the FV function. Suppose you are saving for retirement. Based on the following assumptions, how

Rate is simply the interest rate, Nper is the number of periods, and Pmt is the annuity payment. Since there is no present value, we left this blank. Notice also that we put a negative sign in front of the payment. Excel works like a calculator in that one of the cash flows must be positive and one of the cash flows must be negative. If we had left the payment as a positive number we would have gotten a negative answer. Since we prefer our answers to show as positive, we entered a negative in front of the payment.

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To find the future value of these cash flows, we used the following arguments:

The NPER and RATE functions can be used with the future value to find the number of periods or interest rate in the same manner we used these functions with the present

Of course, both the present value and future value functions can accommodate a lump sum value and annuity payment simultaneously. Suppose you are going to save an equal annual amount for retirement, but you also have a little bit saved for retirement. With the following assumptions, how much will you have when you retire?

Note that the payment and present value both have the same sign. This is because they are both the same type of cash flow, either an inflow or an outflow, depending on

So far, we have talked about ordinary annuities, that is, the payments occur at the end of the period. What about annuities due, where the payments occur at the beginning of the period. Suppose you are going to save for retirement and the first deposit will be made today. With the following assumptions, how much will you have when you are

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To calculate the future value of an annuity due, we use the FV function and set the type of payments to beginning of period like this:

In the FV and PV functions, the Type represents the payment type. If this argument is left blank or a 0 (zero) is entered, Excel uses end of period payments. If a 1 (one) is

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Chapter 5 - Section 3Comparing Rates: The Effect of Compounding

Excel has functions to calculate the effective annual rate and the annual percentage rate.

Example 5.8: What's the EAR?

Suppose you make a deposit at a bank with the following APR and compounding periods. What is the effective annual return (EAR) of your investment?

APR: 12%Compounding periods per year: 4

EAR: 12.55%

RWJ Excel TipTo calculate the effective annual rate, we can use the EFFECT function as follows:

In the EFFECT function, Nominal_rate is the APR and Npery is the number of compounding periods per year.

Example 5.9: Quoting a Rate

As a lender, you know the interest rate and the number of compounding periods per year. In order to earn this interest rate, what rate do you quote?

EAR: 18%Compounding periods per year: 12

APR: 16.67%

RWJ Excel TipTo calculate the annual percentage rate, we can use the NOMINAL function as follows:

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In the NOMINAL function, Effect_rate is the EAR and Npery is the number of compounding periods per year.

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Excel has functions to calculate the effective annual rate and the annual percentage rate.

Suppose you make a deposit at a bank with the following APR and compounding periods. What is the effective annual return (EAR) of your investment?

To calculate the effective annual rate, we can use the EFFECT function as follows:

In the EFFECT function, Nominal_rate is the APR and Npery is the number of compounding periods per year.

As a lender, you know the interest rate and the number of compounding periods per year. In order to earn this interest rate, what rate do you quote?

To calculate the annual percentage rate, we can use the NOMINAL function as follows:

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In the NOMINAL function, Effect_rate is the EAR and Npery is the number of compounding periods per year.

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Chapter 5 - Section 4Loan Types and Loan Amortization

Pure Discount Loans

Pure discount loans are relatively simple since they are nothing more than a lump sum. Suppose we have a pure discount loan with the following characteristics:

Amount to be repaid: $ 25,000 Years until repayment: 7 Interest rate: 12%

Present value: $ 11,308.73

As you can see, we find the present value using the PV function.

Equal Principal Payment

Loan amount: $ 350,000 Interest rate: 9%

This means that the equal annual principal payments will be:

Principal payments: $ 23,333.33

So, the equal principal payment amortization table will look like this:

1 $ 350,000.00 $ 54,833.33 $ 31,500.00 $ 23,333.33 2 326,666.67 52,733.33 29,400.00 23,333.33 3 303,333.33 50,633.33 27,300.00 23,333.33 4 280,000.00 48,533.33 25,200.00 23,333.33 5 256,666.67 46,433.33 23,100.00 23,333.33 6 233,333.33 44,333.33 21,000.00 23,333.33 7 210,000.00 42,233.33 18,900.00 23,333.33 8 186,666.67 40,133.33 16,800.00 23,333.33 9 163,333.33 38,033.33 14,700.00 23,333.33

10 140,000.00 35,933.33 12,600.00 23,333.33 11 116,666.67 33,833.33 10,500.00 23,333.33 12 93,333.33 31,733.33 8,400.00 23,333.33 13 70,000.00 29,633.33 6,300.00 23,333.33

Amortization tables are an excellent application of Excel's abilities. Because an amortization table is repetitive, once we get the first couple of rows, we can copy and paste to fill in the rest of the amortization table. Suppose we have the following 15 year loan that requires equal principal payments each year:

BeginningBalance

TotalPayment

InterestPaid

PrincipalPayment

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14 46,666.67 27,533.33 4,200.00 23,333.33 15 23,333.33 25,433.33 2,100.00 23,333.33

Total $ 602,000.00 $ 252,000.00 $ 350,000.00

RWJ Excel Tip

Equal Payment

Loan amount: $ 350,000 Interest rate: 9%

This means that the equal annual payments will be:

Equal payments: $ 43,420.61

So, the equal annual payment amortization table will look like this:

1 $ 350,000.00 $ 43,420.61 $ 31,500.00 $ 11,920.61 2 338,079.39 43,420.61 30,427.15 12,993.46 3 325,085.93 43,420.61 29,257.73 14,162.88 4 310,923.05 43,420.61 27,983.07 15,437.53 5 295,485.52 43,420.61 26,593.70 16,826.91 6 278,658.61 43,420.61 25,079.27 18,341.33 7 260,317.27 43,420.61 23,428.55 19,992.05 8 240,325.22 43,420.61 21,629.27 21,791.34 9 218,533.88 43,420.61 19,668.05 23,752.56

10 194,781.32 43,420.61 17,530.32 25,890.29 11 168,891.03 43,420.61 15,200.19 28,220.42 12 140,670.61 43,420.61 12,660.35 30,760.25 13 109,910.36 43,420.61 9,891.93 33,528.68 14 76,381.68 43,420.61 6,874.35 36,546.26 15 39,835.42 43,420.61 3,585.19 39,835.42

$ 651,309.13 $ 301,309.13 $ 350,000.00

RWJ Excel Tip

To create the table, we first set up the header row and column. The beginning balance references the loan amount, the principal payment is an absolute reference to the earlier calculation of the principal payment, and the interest paid is the beginning balance multiplied by the interest rate (which is an absolute reference.) We then repeated this for the second period, except that the beginning balance in period 2 is the ending balance in period 1. Since we have used absolute references for the principal payment and interest rate, we can copy and paste the second row to fill in the table. To find the total payments, total interest payments, and total principal payments, we used the sum button.

Creating an equal payment amortization schedule is similar to the equal principal amortization schedule. First, we need to calculate the loan payment for the 15 year loan, which we can calculate using the PMT function we discussed earlier. The loan payment will be:

BeginningBalance

TotalPayment

InterestPaid

PrincipalPayment

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RWJ Excel Tip

"Balloon" or "Bullet" Loans

Loan amount: $ 250,000 Amortization period (years): 30 Time balloon payment due (years): 8 Payments per year: 12 Interest rate (APR): 9.00%

To create the table, we first set up the header row and column. The beginning balance referenced the loan amount, the total payment is an absolute reference to the earlier calculation of the payment amount, the interest payment is the beginning balance multiplied by the interest rate (which is an absolute reference,) and the principal payment is the total payment minus the interest paid. The ending balance is the beginning balance minus the principal payment. We then repeated this for the second period, except that the beginning balance in period 2 is the ending balance in period 1. Since we have used absolute references for the total payment and interest rate, we can copy and paste the second row to fill in the table. To find the total payments, total interest payments, and total principal payments over the life of the loan, we used the sum button.

Loan amortization tables are so common that Excel has a built-in worksheet to calculate a loan amortization. To find this worksheet, right-click on one of the worksheet tabs, select Insert, then the Spreadsheet Solutions tab. Below you will see the built-in spreadsheet options. We selected the Loan Amortization worksheet and Excel inserted the Loan Amortization worksheet. We entered the values in the table at the top and the entire loan amortization table was constructed automatically.

Balloon loans are loans that are amortized over a relatively long schedule, but at some point during the life of the loan, the remaining principal of the loan is repaid. We are going to be a little fancier here and set up the problem so that it works with any repayment schedule, whether annually, monthly, or any other period. Suppose we have a loan with the following characteristics:

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So, based on the original amortization schedule, the payments will be:

Monthly payment: $ 2,011.56

The balloon payment is the present value of the remaining payments, so the balloon payment will be:

Balloon payment: $ 230,901.73

RWJ Excel Tip

Balloon payment: $ 230,901.73

Of course, we could solve this question with one calculation cell. Excel allows you to "nest" one function inside another. Below, we nested the payment calculation inside the present value function to calculate the balloon payment in one cell without the intermediate step of calculating the monthly payment. In this case, we would probably want to know the monthly payments due before the balloon payment, but we will be using nested functions more often.

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Pure discount loans are relatively simple since they are nothing more than a lump sum. Suppose we have a pure discount loan with the following characteristics:

As you can see, we find the present value using the PV function.

$ 326,666.67 303,333.33 280,000.00 256,666.67 233,333.33 210,000.00 186,666.67 163,333.33 140,000.00 116,666.67 93,333.33 70,000.00 46,666.67

Amortization tables are an excellent application of Excel's abilities. Because an amortization table is repetitive, once we get the first couple of rows, we can copy and paste to fill in the rest of the amortization table. Suppose we have the following 15 year loan that requires equal principal payments each year:

EndingBalance

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23,333.33 -

This means that the equal annual payments will be:

So, the equal annual payment amortization table will look like this:

$ 338,079.39 325,085.93 310,923.05 295,485.52 278,658.61 260,317.27 240,325.22 218,533.88 194,781.32 168,891.03 140,670.61 109,910.36 76,381.68 39,835.42 -

To create the table, we first set up the header row and column. The beginning balance references the loan amount, the principal payment is an absolute reference to the earlier calculation of the principal payment, and the interest paid is the beginning balance multiplied by the interest rate (which is an absolute reference.) We then repeated this for the second period, except that the beginning balance in period 2 is the ending balance in period 1. Since we have used absolute references for the principal payment and interest rate, we can copy and paste the second row to fill in the table. To find the total payments, total interest payments, and total principal

Creating an equal payment amortization schedule is similar to the equal principal amortization schedule. First, we need to calculate the loan payment for the 15 year loan, which we can calculate using the PMT function we discussed earlier. The loan payment will be:

EndingBalance

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To create the table, we first set up the header row and column. The beginning balance referenced the loan amount, the total payment is an absolute reference to the earlier calculation of the payment amount, the interest payment is the beginning balance multiplied by the interest rate (which is an absolute reference,) and the principal payment is the total payment minus the interest paid. The ending balance is the beginning balance minus the principal payment. We then repeated this for the second period, except that the beginning balance in period 2 is the ending balance in period 1. Since we have used absolute references for the total payment and interest rate, we can copy and paste the second row to fill in the table. To find the total payments, total interest payments, and total principal payments over the life of the loan, we used

Loan amortization tables are so common that Excel has a built-in worksheet to calculate a loan amortization. To find this worksheet, right-click on one of the worksheet tabs, select Insert, then the Spreadsheet Solutions tab. Below you will see the built-in spreadsheet options. We selected the Loan Amortization worksheet and Excel inserted the Loan Amortization worksheet. We entered the values in the table at the top and the entire loan amortization table was constructed automatically.

Balloon loans are loans that are amortized over a relatively long schedule, but at some point during the life of the loan, the remaining principal of the loan is repaid. We are going to be a little fancier here and set up the problem so that it works with any repayment schedule, whether annually, monthly, or any other period. Suppose we have a

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So, based on the original amortization schedule, the payments will be:

The balloon payment is the present value of the remaining payments, so the balloon payment will be:

Of course, we could solve this question with one calculation cell. Excel allows you to "nest" one function inside another. Below, we nested the payment calculation inside the present value function to calculate the balloon payment in one cell without the intermediate step of calculating the monthly payment. In this case, we would probably want to know the monthly payments due before the balloon payment, but we will be using nested functions more often.

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Loan Amortization Schedule

Enter values Loan summaryLoan amount $ 250,000.00 Scheduled payment $ 1,372.78

Annual interest rate 5.20 % Scheduled number of payments 360 Loan period in years 30 Actual number of payments 360

Number of payments per year 12 Total early payments $ - Start date of loan 7/1/2009 Total interest $ 244,199.79

Optional extra payments $ -

Lender name:

Payment Date Beginning Balance Extra Payment Total Payment Principal Interest Ending Balance Cumulative Interest

1 8/1/2009 $ 250,000.00 $ 1,372.78 $ - $ 1,372.78 $ 289.44 $ 1,083.33 $ 249,710.56 $ 1,083.33 2 9/1/2009 $ 249,710.56 $ 1,372.78 $ - $ 1,372.78 $ 290.70 $ 1,082.08 $ 249,419.86 $ 2,165.41 3 10/1/2009 $ 249,419.86 $ 1,372.78 $ - $ 1,372.78 $ 291.96 $ 1,080.82 $ 249,127.90 $ 3,246.23 4 11/1/2009 $ 249,127.90 $ 1,372.78 $ - $ 1,372.78 $ 293.22 $ 1,079.55 $ 248,834.68 $ 4,325.79 5 12/1/2009 $ 248,834.68 $ 1,372.78 $ - $ 1,372.78 $ 294.49 $ 1,078.28 $ 248,540.18 $ 5,404.07 6 1/1/2010 $ 248,540.18 $ 1,372.78 $ - $ 1,372.78 $ 295.77 $ 1,077.01 $ 248,244.41 $ 6,481.08 7 2/1/2010 $ 248,244.41 $ 1,372.78 $ - $ 1,372.78 $ 297.05 $ 1,075.73 $ 247,947.36 $ 7,556.80 8 3/1/2010 $ 247,947.36 $ 1,372.78 $ - $ 1,372.78 $ 298.34 $ 1,074.44 $ 247,649.02 $ 8,631.24 9 4/1/2010 $ 247,649.02 $ 1,372.78 $ - $ 1,372.78 $ 299.63 $ 1,073.15 $ 247,349.39 $ 9,704.39 10 5/1/2010 $ 247,349.39 $ 1,372.78 $ - $ 1,372.78 $ 300.93 $ 1,071.85 $ 247,048.46 $ 10,776.23 11 6/1/2010 $ 247,048.46 $ 1,372.78 $ - $ 1,372.78 $ 302.23 $ 1,070.54 $ 246,746.23 $ 11,846.78 12 7/1/2010 $ 246,746.23 $ 1,372.78 $ - $ 1,372.78 $ 303.54 $ 1,069.23 $ 246,442.69 $ 12,916.01 13 8/1/2010 $ 246,442.69 $ 1,372.78 $ - $ 1,372.78 $ 304.86 $ 1,067.92 $ 246,137.83 $ 13,983.93 14 9/1/2010 $ 246,137.83 $ 1,372.78 $ - $ 1,372.78 $ 306.18 $ 1,066.60 $ 245,831.65 $ 15,050.53 15 10/1/2010 $ 245,831.65 $ 1,372.78 $ - $ 1,372.78 $ 307.51 $ 1,065.27 $ 245,524.14 $ 16,115.80 16 11/1/2010 $ 245,524.14 $ 1,372.78 $ - $ 1,372.78 $ 308.84 $ 1,063.94 $ 245,215.30 $ 17,179.74 17 12/1/2010 $ 245,215.30 $ 1,372.78 $ - $ 1,372.78 $ 310.18 $ 1,062.60 $ 244,905.12 $ 18,242.34 18 1/1/2011 $ 244,905.12 $ 1,372.78 $ - $ 1,372.78 $ 311.52 $ 1,061.26 $ 244,593.60 $ 19,303.59 19 2/1/2011 $ 244,593.60 $ 1,372.78 $ - $ 1,372.78 $ 312.87 $ 1,059.91 $ 244,280.73 $ 20,363.50 20 3/1/2011 $ 244,280.73 $ 1,372.78 $ - $ 1,372.78 $ 314.23 $ 1,058.55 $ 243,966.50 $ 21,422.05 21 4/1/2011 $ 243,966.50 $ 1,372.78 $ - $ 1,372.78 $ 315.59 $ 1,057.19 $ 243,650.91 $ 22,479.23 22 5/1/2011 $ 243,650.91 $ 1,372.78 $ - $ 1,372.78 $ 316.96 $ 1,055.82 $ 243,333.96 $ 23,535.05 23 6/1/2011 $ 243,333.96 $ 1,372.78 $ - $ 1,372.78 $ 318.33 $ 1,054.45 $ 243,015.63 $ 24,589.50 24 7/1/2011 $ 243,015.63 $ 1,372.78 $ - $ 1,372.78 $ 319.71 $ 1,053.07 $ 242,695.92 $ 25,642.57 25 8/1/2011 $ 242,695.92 $ 1,372.78 $ - $ 1,372.78 $ 321.09 $ 1,051.68 $ 242,374.82 $ 26,694.25 26 9/1/2011 $ 242,374.82 $ 1,372.78 $ - $ 1,372.78 $ 322.49 $ 1,050.29 $ 242,052.34 $ 27,744.54 27 10/1/2011 $ 242,052.34 $ 1,372.78 $ - $ 1,372.78 $ 323.88 $ 1,048.89 $ 241,728.45 $ 28,793.44 28 11/1/2011 $ 241,728.45 $ 1,372.78 $ - $ 1,372.78 $ 325.29 $ 1,047.49 $ 241,403.16 $ 29,840.93 29 12/1/2011 $ 241,403.16 $ 1,372.78 $ - $ 1,372.78 $ 326.70 $ 1,046.08 $ 241,076.47 $ 30,887.01 30 1/1/2012 $ 241,076.47 $ 1,372.78 $ - $ 1,372.78 $ 328.11 $ 1,044.66 $ 240,748.36 $ 31,931.67 31 2/1/2012 $ 240,748.36 $ 1,372.78 $ - $ 1,372.78 $ 329.53 $ 1,043.24 $ 240,418.82 $ 32,974.91 32 3/1/2012 $ 240,418.82 $ 1,372.78 $ - $ 1,372.78 $ 330.96 $ 1,041.81 $ 240,087.86 $ 34,016.73 33 4/1/2012 $ 240,087.86 $ 1,372.78 $ - $ 1,372.78 $ 332.40 $ 1,040.38 $ 239,755.46 $ 35,057.11 34 5/1/2012 $ 239,755.46 $ 1,372.78 $ - $ 1,372.78 $ 333.84 $ 1,038.94 $ 239,421.63 $ 36,096.05 35 6/1/2012 $ 239,421.63 $ 1,372.78 $ - $ 1,372.78 $ 335.28 $ 1,037.49 $ 239,086.34 $ 37,133.54

Pmt. No.

Scheduled Payment

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Payment Date Beginning Balance Extra Payment Total Payment Principal Interest Ending Balance Cumulative InterestPmt. No.

Scheduled Payment

36 7/1/2012 $ 239,086.34 $ 1,372.78 $ - $ 1,372.78 $ 336.74 $ 1,036.04 $ 238,749.61 $ 38,169.58 37 8/1/2012 $ 238,749.61 $ 1,372.78 $ - $ 1,372.78 $ 338.20 $ 1,034.58 $ 238,411.41 $ 39,204.17 38 9/1/2012 $ 238,411.41 $ 1,372.78 $ - $ 1,372.78 $ 339.66 $ 1,033.12 $ 238,071.75 $ 40,237.28 39 10/1/2012 $ 238,071.75 $ 1,372.78 $ - $ 1,372.78 $ 341.13 $ 1,031.64 $ 237,730.62 $ 41,268.93 40 11/1/2012 $ 237,730.62 $ 1,372.78 $ - $ 1,372.78 $ 342.61 $ 1,030.17 $ 237,388.00 $ 42,299.09 41 12/1/2012 $ 237,388.00 $ 1,372.78 $ - $ 1,372.78 $ 344.10 $ 1,028.68 $ 237,043.91 $ 43,327.77 42 1/1/2013 $ 237,043.91 $ 1,372.78 $ - $ 1,372.78 $ 345.59 $ 1,027.19 $ 236,698.32 $ 44,354.96 43 2/1/2013 $ 236,698.32 $ 1,372.78 $ - $ 1,372.78 $ 347.08 $ 1,025.69 $ 236,351.24 $ 45,380.66 44 3/1/2013 $ 236,351.24 $ 1,372.78 $ - $ 1,372.78 $ 348.59 $ 1,024.19 $ 236,002.65 $ 46,404.85 45 4/1/2013 $ 236,002.65 $ 1,372.78 $ - $ 1,372.78 $ 350.10 $ 1,022.68 $ 235,652.55 $ 47,427.52 46 5/1/2013 $ 235,652.55 $ 1,372.78 $ - $ 1,372.78 $ 351.62 $ 1,021.16 $ 235,300.93 $ 48,448.69 47 6/1/2013 $ 235,300.93 $ 1,372.78 $ - $ 1,372.78 $ 353.14 $ 1,019.64 $ 234,947.79 $ 49,468.32 48 7/1/2013 $ 234,947.79 $ 1,372.78 $ - $ 1,372.78 $ 354.67 $ 1,018.11 $ 234,593.12 $ 50,486.43 49 8/1/2013 $ 234,593.12 $ 1,372.78 $ - $ 1,372.78 $ 356.21 $ 1,016.57 $ 234,236.92 $ 51,503.00 50 9/1/2013 $ 234,236.92 $ 1,372.78 $ - $ 1,372.78 $ 357.75 $ 1,015.03 $ 233,879.17 $ 52,518.03 51 10/1/2013 $ 233,879.17 $ 1,372.78 $ - $ 1,372.78 $ 359.30 $ 1,013.48 $ 233,519.87 $ 53,531.50 52 11/1/2013 $ 233,519.87 $ 1,372.78 $ - $ 1,372.78 $ 360.86 $ 1,011.92 $ 233,159.01 $ 54,543.42 53 12/1/2013 $ 233,159.01 $ 1,372.78 $ - $ 1,372.78 $ 362.42 $ 1,010.36 $ 232,796.59 $ 55,553.78 54 1/1/2014 $ 232,796.59 $ 1,372.78 $ - $ 1,372.78 $ 363.99 $ 1,008.79 $ 232,432.59 $ 56,562.56 55 2/1/2014 $ 232,432.59 $ 1,372.78 $ - $ 1,372.78 $ 365.57 $ 1,007.21 $ 232,067.02 $ 57,569.77 56 3/1/2014 $ 232,067.02 $ 1,372.78 $ - $ 1,372.78 $ 367.15 $ 1,005.62 $ 231,699.87 $ 58,575.39 57 4/1/2014 $ 231,699.87 $ 1,372.78 $ - $ 1,372.78 $ 368.74 $ 1,004.03 $ 231,331.13 $ 59,579.43 58 5/1/2014 $ 231,331.13 $ 1,372.78 $ - $ 1,372.78 $ 370.34 $ 1,002.43 $ 230,960.78 $ 60,581.86 59 6/1/2014 $ 230,960.78 $ 1,372.78 $ - $ 1,372.78 $ 371.95 $ 1,000.83 $ 230,588.84 $ 61,582.69 60 7/1/2014 $ 230,588.84 $ 1,372.78 $ - $ 1,372.78 $ 373.56 $ 999.22 $ 230,215.28 $ 62,581.91 61 8/1/2014 $ 230,215.28 $ 1,372.78 $ - $ 1,372.78 $ 375.18 $ 997.60 $ 229,840.10 $ 63,579.51 62 9/1/2014 $ 229,840.10 $ 1,372.78 $ - $ 1,372.78 $ 376.80 $ 995.97 $ 229,463.30 $ 64,575.48 63 10/1/2014 $ 229,463.30 $ 1,372.78 $ - $ 1,372.78 $ 378.44 $ 994.34 $ 229,084.86 $ 65,569.83 64 11/1/2014 $ 229,084.86 $ 1,372.78 $ - $ 1,372.78 $ 380.08 $ 992.70 $ 228,704.79 $ 66,562.53 65 12/1/2014 $ 228,704.79 $ 1,372.78 $ - $ 1,372.78 $ 381.72 $ 991.05 $ 228,323.06 $ 67,553.58 66 1/1/2015 $ 228,323.06 $ 1,372.78 $ - $ 1,372.78 $ 383.38 $ 989.40 $ 227,939.68 $ 68,542.98 67 2/1/2015 $ 227,939.68 $ 1,372.78 $ - $ 1,372.78 $ 385.04 $ 987.74 $ 227,554.65 $ 69,530.72 68 3/1/2015 $ 227,554.65 $ 1,372.78 $ - $ 1,372.78 $ 386.71 $ 986.07 $ 227,167.94 $ 70,516.79 69 4/1/2015 $ 227,167.94 $ 1,372.78 $ - $ 1,372.78 $ 388.38 $ 984.39 $ 226,779.56 $ 71,501.18 70 5/1/2015 $ 226,779.56 $ 1,372.78 $ - $ 1,372.78 $ 390.07 $ 982.71 $ 226,389.49 $ 72,483.89 71 6/1/2015 $ 226,389.49 $ 1,372.78 $ - $ 1,372.78 $ 391.76 $ 981.02 $ 225,997.73 $ 73,464.92 72 7/1/2015 $ 225,997.73 $ 1,372.78 $ - $ 1,372.78 $ 393.45 $ 979.32 $ 225,604.28 $ 74,444.24 73 8/1/2015 $ 225,604.28 $ 1,372.78 $ - $ 1,372.78 $ 395.16 $ 977.62 $ 225,209.12 $ 75,421.86 74 9/1/2015 $ 225,209.12 $ 1,372.78 $ - $ 1,372.78 $ 396.87 $ 975.91 $ 224,812.25 $ 76,397.76 75 10/1/2015 $ 224,812.25 $ 1,372.78 $ - $ 1,372.78 $ 398.59 $ 974.19 $ 224,413.66 $ 77,371.95 76 11/1/2015 $ 224,413.66 $ 1,372.78 $ - $ 1,372.78 $ 400.32 $ 972.46 $ 224,013.34 $ 78,344.41 77 12/1/2015 $ 224,013.34 $ 1,372.78 $ - $ 1,372.78 $ 402.05 $ 970.72 $ 223,611.29 $ 79,315.13 78 1/1/2016 $ 223,611.29 $ 1,372.78 $ - $ 1,372.78 $ 403.79 $ 968.98 $ 223,207.49 $ 80,284.12 79 2/1/2016 $ 223,207.49 $ 1,372.78 $ - $ 1,372.78 $ 405.54 $ 967.23 $ 222,801.95 $ 81,251.35 80 3/1/2016 $ 222,801.95 $ 1,372.78 $ - $ 1,372.78 $ 407.30 $ 965.48 $ 222,394.65 $ 82,216.82 81 4/1/2016 $ 222,394.65 $ 1,372.78 $ - $ 1,372.78 $ 409.07 $ 963.71 $ 221,985.58 $ 83,180.53 82 5/1/2016 $ 221,985.58 $ 1,372.78 $ - $ 1,372.78 $ 410.84 $ 961.94 $ 221,574.74 $ 84,142.47 83 6/1/2016 $ 221,574.74 $ 1,372.78 $ - $ 1,372.78 $ 412.62 $ 960.16 $ 221,162.12 $ 85,102.63 84 7/1/2016 $ 221,162.12 $ 1,372.78 $ - $ 1,372.78 $ 414.41 $ 958.37 $ 220,747.71 $ 86,061.00

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Payment Date Beginning Balance Extra Payment Total Payment Principal Interest Ending Balance Cumulative InterestPmt. No.

Scheduled Payment

85 8/1/2016 $ 220,747.71 $ 1,372.78 $ - $ 1,372.78 $ 416.20 $ 956.57 $ 220,331.51 $ 87,017.57 86 9/1/2016 $ 220,331.51 $ 1,372.78 $ - $ 1,372.78 $ 418.01 $ 954.77 $ 219,913.50 $ 87,972.34 87 10/1/2016 $ 219,913.50 $ 1,372.78 $ - $ 1,372.78 $ 419.82 $ 952.96 $ 219,493.68 $ 88,925.30 88 11/1/2016 $ 219,493.68 $ 1,372.78 $ - $ 1,372.78 $ 421.64 $ 951.14 $ 219,072.05 $ 89,876.44 89 12/1/2016 $ 219,072.05 $ 1,372.78 $ - $ 1,372.78 $ 423.47 $ 949.31 $ 218,648.58 $ 90,825.75 90 1/1/2017 $ 218,648.58 $ 1,372.78 $ - $ 1,372.78 $ 425.30 $ 947.48 $ 218,223.28 $ 91,773.23 91 2/1/2017 $ 218,223.28 $ 1,372.78 $ - $ 1,372.78 $ 427.14 $ 945.63 $ 217,796.14 $ 92,718.86 92 3/1/2017 $ 217,796.14 $ 1,372.78 $ - $ 1,372.78 $ 428.99 $ 943.78 $ 217,367.14 $ 93,662.65 93 4/1/2017 $ 217,367.14 $ 1,372.78 $ - $ 1,372.78 $ 430.85 $ 941.92 $ 216,936.29 $ 94,604.57 94 5/1/2017 $ 216,936.29 $ 1,372.78 $ - $ 1,372.78 $ 432.72 $ 940.06 $ 216,503.57 $ 95,544.63 95 6/1/2017 $ 216,503.57 $ 1,372.78 $ - $ 1,372.78 $ 434.60 $ 938.18 $ 216,068.98 $ 96,482.81 96 7/1/2017 $ 216,068.98 $ 1,372.78 $ - $ 1,372.78 $ 436.48 $ 936.30 $ 215,632.50 $ 97,419.11 97 8/1/2017 $ 215,632.50 $ 1,372.78 $ - $ 1,372.78 $ 438.37 $ 934.41 $ 215,194.13 $ 98,353.52 98 9/1/2017 $ 215,194.13 $ 1,372.78 $ - $ 1,372.78 $ 440.27 $ 932.51 $ 214,753.86 $ 99,286.02 99 10/1/2017 $ 214,753.86 $ 1,372.78 $ - $ 1,372.78 $ 442.18 $ 930.60 $ 214,311.68 $ 100,216.62 100 11/1/2017 $ 214,311.68 $ 1,372.78 $ - $ 1,372.78 $ 444.09 $ 928.68 $ 213,867.59 $ 101,145.31 101 12/1/2017 $ 213,867.59 $ 1,372.78 $ - $ 1,372.78 $ 446.02 $ 926.76 $ 213,421.57 $ 102,072.07 102 1/1/2018 $ 213,421.57 $ 1,372.78 $ - $ 1,372.78 $ 447.95 $ 924.83 $ 212,973.62 $ 102,996.89 103 2/1/2018 $ 212,973.62 $ 1,372.78 $ - $ 1,372.78 $ 449.89 $ 922.89 $ 212,523.73 $ 103,919.78 104 3/1/2018 $ 212,523.73 $ 1,372.78 $ - $ 1,372.78 $ 451.84 $ 920.94 $ 212,071.89 $ 104,840.72 105 4/1/2018 $ 212,071.89 $ 1,372.78 $ - $ 1,372.78 $ 453.80 $ 918.98 $ 211,618.09 $ 105,759.69 106 5/1/2018 $ 211,618.09 $ 1,372.78 $ - $ 1,372.78 $ 455.77 $ 917.01 $ 211,162.32 $ 106,676.71 107 6/1/2018 $ 211,162.32 $ 1,372.78 $ - $ 1,372.78 $ 457.74 $ 915.04 $ 210,704.58 $ 107,591.74 108 7/1/2018 $ 210,704.58 $ 1,372.78 $ - $ 1,372.78 $ 459.72 $ 913.05 $ 210,244.86 $ 108,504.80 109 8/1/2018 $ 210,244.86 $ 1,372.78 $ - $ 1,372.78 $ 461.72 $ 911.06 $ 209,783.14 $ 109,415.86 110 9/1/2018 $ 209,783.14 $ 1,372.78 $ - $ 1,372.78 $ 463.72 $ 909.06 $ 209,319.43 $ 110,324.92 111 10/1/2018 $ 209,319.43 $ 1,372.78 $ - $ 1,372.78 $ 465.73 $ 907.05 $ 208,853.70 $ 111,231.97 112 11/1/2018 $ 208,853.70 $ 1,372.78 $ - $ 1,372.78 $ 467.74 $ 905.03 $ 208,385.95 $ 112,137.00 113 12/1/2018 $ 208,385.95 $ 1,372.78 $ - $ 1,372.78 $ 469.77 $ 903.01 $ 207,916.18 $ 113,040.01 114 1/1/2019 $ 207,916.18 $ 1,372.78 $ - $ 1,372.78 $ 471.81 $ 900.97 $ 207,444.38 $ 113,940.98 115 2/1/2019 $ 207,444.38 $ 1,372.78 $ - $ 1,372.78 $ 473.85 $ 898.93 $ 206,970.52 $ 114,839.90 116 3/1/2019 $ 206,970.52 $ 1,372.78 $ - $ 1,372.78 $ 475.90 $ 896.87 $ 206,494.62 $ 115,736.77 117 4/1/2019 $ 206,494.62 $ 1,372.78 $ - $ 1,372.78 $ 477.97 $ 894.81 $ 206,016.65 $ 116,631.58 118 5/1/2019 $ 206,016.65 $ 1,372.78 $ - $ 1,372.78 $ 480.04 $ 892.74 $ 205,536.61 $ 117,524.32 119 6/1/2019 $ 205,536.61 $ 1,372.78 $ - $ 1,372.78 $ 482.12 $ 890.66 $ 205,054.50 $ 118,414.98 120 7/1/2019 $ 205,054.50 $ 1,372.78 $ - $ 1,372.78 $ 484.21 $ 888.57 $ 204,570.29 $ 119,303.55 121 8/1/2019 $ 204,570.29 $ 1,372.78 $ - $ 1,372.78 $ 486.31 $ 886.47 $ 204,083.98 $ 120,190.02 122 9/1/2019 $ 204,083.98 $ 1,372.78 $ - $ 1,372.78 $ 488.41 $ 884.36 $ 203,595.57 $ 121,074.39 123 10/1/2019 $ 203,595.57 $ 1,372.78 $ - $ 1,372.78 $ 490.53 $ 882.25 $ 203,105.04 $ 121,956.63 124 11/1/2019 $ 203,105.04 $ 1,372.78 $ - $ 1,372.78 $ 492.66 $ 880.12 $ 202,612.38 $ 122,836.76 125 12/1/2019 $ 202,612.38 $ 1,372.78 $ - $ 1,372.78 $ 494.79 $ 877.99 $ 202,117.59 $ 123,714.74 126 1/1/2020 $ 202,117.59 $ 1,372.78 $ - $ 1,372.78 $ 496.93 $ 875.84 $ 201,620.66 $ 124,590.59 127 2/1/2020 $ 201,620.66 $ 1,372.78 $ - $ 1,372.78 $ 499.09 $ 873.69 $ 201,121.57 $ 125,464.28 128 3/1/2020 $ 201,121.57 $ 1,372.78 $ - $ 1,372.78 $ 501.25 $ 871.53 $ 200,620.32 $ 126,335.80 129 4/1/2020 $ 200,620.32 $ 1,372.78 $ - $ 1,372.78 $ 503.42 $ 869.35 $ 200,116.90 $ 127,205.16 130 5/1/2020 $ 200,116.90 $ 1,372.78 $ - $ 1,372.78 $ 505.60 $ 867.17 $ 199,611.29 $ 128,072.33 131 6/1/2020 $ 199,611.29 $ 1,372.78 $ - $ 1,372.78 $ 507.79 $ 864.98 $ 199,103.50 $ 128,937.31 132 7/1/2020 $ 199,103.50 $ 1,372.78 $ - $ 1,372.78 $ 510.00 $ 862.78 $ 198,593.50 $ 129,800.09 133 8/1/2020 $ 198,593.50 $ 1,372.78 $ - $ 1,372.78 $ 512.21 $ 860.57 $ 198,081.30 $ 130,660.67

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Payment Date Beginning Balance Extra Payment Total Payment Principal Interest Ending Balance Cumulative InterestPmt. No.

Scheduled Payment

134 9/1/2020 $ 198,081.30 $ 1,372.78 $ - $ 1,372.78 $ 514.42 $ 858.35 $ 197,566.87 $ 131,519.02 135 10/1/2020 $ 197,566.87 $ 1,372.78 $ - $ 1,372.78 $ 516.65 $ 856.12 $ 197,050.22 $ 132,375.14 136 11/1/2020 $ 197,050.22 $ 1,372.78 $ - $ 1,372.78 $ 518.89 $ 853.88 $ 196,531.33 $ 133,229.03 137 12/1/2020 $ 196,531.33 $ 1,372.78 $ - $ 1,372.78 $ 521.14 $ 851.64 $ 196,010.19 $ 134,080.66 138 1/1/2021 $ 196,010.19 $ 1,372.78 $ - $ 1,372.78 $ 523.40 $ 849.38 $ 195,486.79 $ 134,930.04 139 2/1/2021 $ 195,486.79 $ 1,372.78 $ - $ 1,372.78 $ 525.67 $ 847.11 $ 194,961.12 $ 135,777.15 140 3/1/2021 $ 194,961.12 $ 1,372.78 $ - $ 1,372.78 $ 527.95 $ 844.83 $ 194,433.17 $ 136,621.98 141 4/1/2021 $ 194,433.17 $ 1,372.78 $ - $ 1,372.78 $ 530.23 $ 842.54 $ 193,902.94 $ 137,464.52 142 5/1/2021 $ 193,902.94 $ 1,372.78 $ - $ 1,372.78 $ 532.53 $ 840.25 $ 193,370.41 $ 138,304.77 143 6/1/2021 $ 193,370.41 $ 1,372.78 $ - $ 1,372.78 $ 534.84 $ 837.94 $ 192,835.57 $ 139,142.71 144 7/1/2021 $ 192,835.57 $ 1,372.78 $ - $ 1,372.78 $ 537.16 $ 835.62 $ 192,298.41 $ 139,978.33 145 8/1/2021 $ 192,298.41 $ 1,372.78 $ - $ 1,372.78 $ 539.48 $ 833.29 $ 191,758.93 $ 140,811.62 146 9/1/2021 $ 191,758.93 $ 1,372.78 $ - $ 1,372.78 $ 541.82 $ 830.96 $ 191,217.11 $ 141,642.58 147 10/1/2021 $ 191,217.11 $ 1,372.78 $ - $ 1,372.78 $ 544.17 $ 828.61 $ 190,672.94 $ 142,471.19 148 11/1/2021 $ 190,672.94 $ 1,372.78 $ - $ 1,372.78 $ 546.53 $ 826.25 $ 190,126.41 $ 143,297.43 149 12/1/2021 $ 190,126.41 $ 1,372.78 $ - $ 1,372.78 $ 548.90 $ 823.88 $ 189,577.51 $ 144,121.32 150 1/1/2022 $ 189,577.51 $ 1,372.78 $ - $ 1,372.78 $ 551.27 $ 821.50 $ 189,026.24 $ 144,942.82 151 2/1/2022 $ 189,026.24 $ 1,372.78 $ - $ 1,372.78 $ 553.66 $ 819.11 $ 188,472.57 $ 145,761.93 152 3/1/2022 $ 188,472.57 $ 1,372.78 $ - $ 1,372.78 $ 556.06 $ 816.71 $ 187,916.51 $ 146,578.65 153 4/1/2022 $ 187,916.51 $ 1,372.78 $ - $ 1,372.78 $ 558.47 $ 814.30 $ 187,358.04 $ 147,392.95 154 5/1/2022 $ 187,358.04 $ 1,372.78 $ - $ 1,372.78 $ 560.89 $ 811.88 $ 186,797.15 $ 148,204.84 155 6/1/2022 $ 186,797.15 $ 1,372.78 $ - $ 1,372.78 $ 563.32 $ 809.45 $ 186,233.82 $ 149,014.29 156 7/1/2022 $ 186,233.82 $ 1,372.78 $ - $ 1,372.78 $ 565.76 $ 807.01 $ 185,668.06 $ 149,821.30 157 8/1/2022 $ 185,668.06 $ 1,372.78 $ - $ 1,372.78 $ 568.22 $ 804.56 $ 185,099.84 $ 150,625.87 158 9/1/2022 $ 185,099.84 $ 1,372.78 $ - $ 1,372.78 $ 570.68 $ 802.10 $ 184,529.17 $ 151,427.96 159 10/1/2022 $ 184,529.17 $ 1,372.78 $ - $ 1,372.78 $ 573.15 $ 799.63 $ 183,956.02 $ 152,227.59 160 11/1/2022 $ 183,956.02 $ 1,372.78 $ - $ 1,372.78 $ 575.63 $ 797.14 $ 183,380.38 $ 153,024.73 161 12/1/2022 $ 183,380.38 $ 1,372.78 $ - $ 1,372.78 $ 578.13 $ 794.65 $ 182,802.25 $ 153,819.38 162 1/1/2023 $ 182,802.25 $ 1,372.78 $ - $ 1,372.78 $ 580.63 $ 792.14 $ 182,221.62 $ 154,611.53 163 2/1/2023 $ 182,221.62 $ 1,372.78 $ - $ 1,372.78 $ 583.15 $ 789.63 $ 181,638.47 $ 155,401.15 164 3/1/2023 $ 181,638.47 $ 1,372.78 $ - $ 1,372.78 $ 585.68 $ 787.10 $ 181,052.79 $ 156,188.25 165 4/1/2023 $ 181,052.79 $ 1,372.78 $ - $ 1,372.78 $ 588.22 $ 784.56 $ 180,464.58 $ 156,972.81 166 5/1/2023 $ 180,464.58 $ 1,372.78 $ - $ 1,372.78 $ 590.76 $ 782.01 $ 179,873.81 $ 157,754.83 167 6/1/2023 $ 179,873.81 $ 1,372.78 $ - $ 1,372.78 $ 593.32 $ 779.45 $ 179,280.49 $ 158,534.28 168 7/1/2023 $ 179,280.49 $ 1,372.78 $ - $ 1,372.78 $ 595.90 $ 776.88 $ 178,684.59 $ 159,311.16 169 8/1/2023 $ 178,684.59 $ 1,372.78 $ - $ 1,372.78 $ 598.48 $ 774.30 $ 178,086.12 $ 160,085.46 170 9/1/2023 $ 178,086.12 $ 1,372.78 $ - $ 1,372.78 $ 601.07 $ 771.71 $ 177,485.04 $ 160,857.17 171 10/1/2023 $ 177,485.04 $ 1,372.78 $ - $ 1,372.78 $ 603.68 $ 769.10 $ 176,881.37 $ 161,626.27 172 11/1/2023 $ 176,881.37 $ 1,372.78 $ - $ 1,372.78 $ 606.29 $ 766.49 $ 176,275.08 $ 162,392.76 173 12/1/2023 $ 176,275.08 $ 1,372.78 $ - $ 1,372.78 $ 608.92 $ 763.86 $ 175,666.16 $ 163,156.62 174 1/1/2024 $ 175,666.16 $ 1,372.78 $ - $ 1,372.78 $ 611.56 $ 761.22 $ 175,054.60 $ 163,917.84 175 2/1/2024 $ 175,054.60 $ 1,372.78 $ - $ 1,372.78 $ 614.21 $ 758.57 $ 174,440.40 $ 164,676.41 176 3/1/2024 $ 174,440.40 $ 1,372.78 $ - $ 1,372.78 $ 616.87 $ 755.91 $ 173,823.53 $ 165,432.31 177 4/1/2024 $ 173,823.53 $ 1,372.78 $ - $ 1,372.78 $ 619.54 $ 753.24 $ 173,203.98 $ 166,185.55 178 5/1/2024 $ 173,203.98 $ 1,372.78 $ - $ 1,372.78 $ 622.23 $ 750.55 $ 172,581.76 $ 166,936.10 179 6/1/2024 $ 172,581.76 $ 1,372.78 $ - $ 1,372.78 $ 624.92 $ 747.85 $ 171,956.83 $ 167,683.95 180 7/1/2024 $ 171,956.83 $ 1,372.78 $ - $ 1,372.78 $ 627.63 $ 745.15 $ 171,329.20 $ 168,429.10 181 8/1/2024 $ 171,329.20 $ 1,372.78 $ - $ 1,372.78 $ 630.35 $ 742.43 $ 170,698.85 $ 169,171.53 182 9/1/2024 $ 170,698.85 $ 1,372.78 $ - $ 1,372.78 $ 633.08 $ 739.70 $ 170,065.77 $ 169,911.22

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Scheduled Payment

183 10/1/2024 $ 170,065.77 $ 1,372.78 $ - $ 1,372.78 $ 635.83 $ 736.95 $ 169,429.95 $ 170,648.17 184 11/1/2024 $ 169,429.95 $ 1,372.78 $ - $ 1,372.78 $ 638.58 $ 734.20 $ 168,791.36 $ 171,382.37 185 12/1/2024 $ 168,791.36 $ 1,372.78 $ - $ 1,372.78 $ 641.35 $ 731.43 $ 168,150.02 $ 172,113.80 186 1/1/2025 $ 168,150.02 $ 1,372.78 $ - $ 1,372.78 $ 644.13 $ 728.65 $ 167,505.89 $ 172,842.45 187 2/1/2025 $ 167,505.89 $ 1,372.78 $ - $ 1,372.78 $ 646.92 $ 725.86 $ 166,858.97 $ 173,568.31 188 3/1/2025 $ 166,858.97 $ 1,372.78 $ - $ 1,372.78 $ 649.72 $ 723.06 $ 166,209.25 $ 174,291.36 189 4/1/2025 $ 166,209.25 $ 1,372.78 $ - $ 1,372.78 $ 652.54 $ 720.24 $ 165,556.71 $ 175,011.60 190 5/1/2025 $ 165,556.71 $ 1,372.78 $ - $ 1,372.78 $ 655.36 $ 717.41 $ 164,901.35 $ 175,729.02 191 6/1/2025 $ 164,901.35 $ 1,372.78 $ - $ 1,372.78 $ 658.20 $ 714.57 $ 164,243.14 $ 176,443.59 192 7/1/2025 $ 164,243.14 $ 1,372.78 $ - $ 1,372.78 $ 661.06 $ 711.72 $ 163,582.09 $ 177,155.31 193 8/1/2025 $ 163,582.09 $ 1,372.78 $ - $ 1,372.78 $ 663.92 $ 708.86 $ 162,918.16 $ 177,864.16 194 9/1/2025 $ 162,918.16 $ 1,372.78 $ - $ 1,372.78 $ 666.80 $ 705.98 $ 162,251.37 $ 178,570.14 195 10/1/2025 $ 162,251.37 $ 1,372.78 $ - $ 1,372.78 $ 669.69 $ 703.09 $ 161,581.68 $ 179,273.23 196 11/1/2025 $ 161,581.68 $ 1,372.78 $ - $ 1,372.78 $ 672.59 $ 700.19 $ 160,909.09 $ 179,973.42 197 12/1/2025 $ 160,909.09 $ 1,372.78 $ - $ 1,372.78 $ 675.50 $ 697.27 $ 160,233.58 $ 180,670.69 198 1/1/2026 $ 160,233.58 $ 1,372.78 $ - $ 1,372.78 $ 678.43 $ 694.35 $ 159,555.15 $ 181,365.04 199 2/1/2026 $ 159,555.15 $ 1,372.78 $ - $ 1,372.78 $ 681.37 $ 691.41 $ 158,873.78 $ 182,056.44 200 3/1/2026 $ 158,873.78 $ 1,372.78 $ - $ 1,372.78 $ 684.32 $ 688.45 $ 158,189.46 $ 182,744.90 201 4/1/2026 $ 158,189.46 $ 1,372.78 $ - $ 1,372.78 $ 687.29 $ 685.49 $ 157,502.17 $ 183,430.38 202 5/1/2026 $ 157,502.17 $ 1,372.78 $ - $ 1,372.78 $ 690.27 $ 682.51 $ 156,811.90 $ 184,112.89 203 6/1/2026 $ 156,811.90 $ 1,372.78 $ - $ 1,372.78 $ 693.26 $ 679.52 $ 156,118.64 $ 184,792.41 204 7/1/2026 $ 156,118.64 $ 1,372.78 $ - $ 1,372.78 $ 696.26 $ 676.51 $ 155,422.38 $ 185,468.93 205 8/1/2026 $ 155,422.38 $ 1,372.78 $ - $ 1,372.78 $ 699.28 $ 673.50 $ 154,723.10 $ 186,142.42 206 9/1/2026 $ 154,723.10 $ 1,372.78 $ - $ 1,372.78 $ 702.31 $ 670.47 $ 154,020.79 $ 186,812.89 207 10/1/2026 $ 154,020.79 $ 1,372.78 $ - $ 1,372.78 $ 705.35 $ 667.42 $ 153,315.43 $ 187,480.31 208 11/1/2026 $ 153,315.43 $ 1,372.78 $ - $ 1,372.78 $ 708.41 $ 664.37 $ 152,607.02 $ 188,144.68 209 12/1/2026 $ 152,607.02 $ 1,372.78 $ - $ 1,372.78 $ 711.48 $ 661.30 $ 151,895.54 $ 188,805.98 210 1/1/2027 $ 151,895.54 $ 1,372.78 $ - $ 1,372.78 $ 714.56 $ 658.21 $ 151,180.98 $ 189,464.19 211 2/1/2027 $ 151,180.98 $ 1,372.78 $ - $ 1,372.78 $ 717.66 $ 655.12 $ 150,463.32 $ 190,119.31 212 3/1/2027 $ 150,463.32 $ 1,372.78 $ - $ 1,372.78 $ 720.77 $ 652.01 $ 149,742.55 $ 190,771.32 213 4/1/2027 $ 149,742.55 $ 1,372.78 $ - $ 1,372.78 $ 723.89 $ 648.88 $ 149,018.66 $ 191,420.20 214 5/1/2027 $ 149,018.66 $ 1,372.78 $ - $ 1,372.78 $ 727.03 $ 645.75 $ 148,291.63 $ 192,065.95 215 6/1/2027 $ 148,291.63 $ 1,372.78 $ - $ 1,372.78 $ 730.18 $ 642.60 $ 147,561.45 $ 192,708.55 216 7/1/2027 $ 147,561.45 $ 1,372.78 $ - $ 1,372.78 $ 733.34 $ 639.43 $ 146,828.10 $ 193,347.98 217 8/1/2027 $ 146,828.10 $ 1,372.78 $ - $ 1,372.78 $ 736.52 $ 636.26 $ 146,091.58 $ 193,984.23 218 9/1/2027 $ 146,091.58 $ 1,372.78 $ - $ 1,372.78 $ 739.71 $ 633.06 $ 145,351.87 $ 194,617.30 219 10/1/2027 $ 145,351.87 $ 1,372.78 $ - $ 1,372.78 $ 742.92 $ 629.86 $ 144,608.95 $ 195,247.16 220 11/1/2027 $ 144,608.95 $ 1,372.78 $ - $ 1,372.78 $ 746.14 $ 626.64 $ 143,862.81 $ 195,873.79 221 12/1/2027 $ 143,862.81 $ 1,372.78 $ - $ 1,372.78 $ 749.37 $ 623.41 $ 143,113.44 $ 196,497.20 222 1/1/2028 $ 143,113.44 $ 1,372.78 $ - $ 1,372.78 $ 752.62 $ 620.16 $ 142,360.82 $ 197,117.36 223 2/1/2028 $ 142,360.82 $ 1,372.78 $ - $ 1,372.78 $ 755.88 $ 616.90 $ 141,604.94 $ 197,734.25 224 3/1/2028 $ 141,604.94 $ 1,372.78 $ - $ 1,372.78 $ 759.16 $ 613.62 $ 140,845.78 $ 198,347.88 225 4/1/2028 $ 140,845.78 $ 1,372.78 $ - $ 1,372.78 $ 762.45 $ 610.33 $ 140,083.34 $ 198,958.21 226 5/1/2028 $ 140,083.34 $ 1,372.78 $ - $ 1,372.78 $ 765.75 $ 607.03 $ 139,317.59 $ 199,565.24 227 6/1/2028 $ 139,317.59 $ 1,372.78 $ - $ 1,372.78 $ 769.07 $ 603.71 $ 138,548.52 $ 200,168.95 228 7/1/2028 $ 138,548.52 $ 1,372.78 $ - $ 1,372.78 $ 772.40 $ 600.38 $ 137,776.12 $ 200,769.32 229 8/1/2028 $ 137,776.12 $ 1,372.78 $ - $ 1,372.78 $ 775.75 $ 597.03 $ 137,000.37 $ 201,366.35 230 9/1/2028 $ 137,000.37 $ 1,372.78 $ - $ 1,372.78 $ 779.11 $ 593.67 $ 136,221.26 $ 201,960.02 231 10/1/2028 $ 136,221.26 $ 1,372.78 $ - $ 1,372.78 $ 782.49 $ 590.29 $ 135,438.78 $ 202,550.31

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Scheduled Payment

232 11/1/2028 $ 135,438.78 $ 1,372.78 $ - $ 1,372.78 $ 785.88 $ 586.90 $ 134,652.90 $ 203,137.21 233 12/1/2028 $ 134,652.90 $ 1,372.78 $ - $ 1,372.78 $ 789.28 $ 583.50 $ 133,863.62 $ 203,720.71 234 1/1/2029 $ 133,863.62 $ 1,372.78 $ - $ 1,372.78 $ 792.70 $ 580.08 $ 133,070.92 $ 204,300.79 235 2/1/2029 $ 133,070.92 $ 1,372.78 $ - $ 1,372.78 $ 796.14 $ 576.64 $ 132,274.78 $ 204,877.43 236 3/1/2029 $ 132,274.78 $ 1,372.78 $ - $ 1,372.78 $ 799.59 $ 573.19 $ 131,475.20 $ 205,450.62 237 4/1/2029 $ 131,475.20 $ 1,372.78 $ - $ 1,372.78 $ 803.05 $ 569.73 $ 130,672.15 $ 206,020.34 238 5/1/2029 $ 130,672.15 $ 1,372.78 $ - $ 1,372.78 $ 806.53 $ 566.25 $ 129,865.61 $ 206,586.59 239 6/1/2029 $ 129,865.61 $ 1,372.78 $ - $ 1,372.78 $ 810.03 $ 562.75 $ 129,055.59 $ 207,149.34 240 7/1/2029 $ 129,055.59 $ 1,372.78 $ - $ 1,372.78 $ 813.54 $ 559.24 $ 128,242.05 $ 207,708.58 241 8/1/2029 $ 128,242.05 $ 1,372.78 $ - $ 1,372.78 $ 817.06 $ 555.72 $ 127,424.99 $ 208,264.30 242 9/1/2029 $ 127,424.99 $ 1,372.78 $ - $ 1,372.78 $ 820.60 $ 552.17 $ 126,604.39 $ 208,816.47 243 10/1/2029 $ 126,604.39 $ 1,372.78 $ - $ 1,372.78 $ 824.16 $ 548.62 $ 125,780.23 $ 209,365.09 244 11/1/2029 $ 125,780.23 $ 1,372.78 $ - $ 1,372.78 $ 827.73 $ 545.05 $ 124,952.50 $ 209,910.14 245 12/1/2029 $ 124,952.50 $ 1,372.78 $ - $ 1,372.78 $ 831.32 $ 541.46 $ 124,121.18 $ 210,451.60 246 1/1/2030 $ 124,121.18 $ 1,372.78 $ - $ 1,372.78 $ 834.92 $ 537.86 $ 123,286.27 $ 210,989.46 247 2/1/2030 $ 123,286.27 $ 1,372.78 $ - $ 1,372.78 $ 838.54 $ 534.24 $ 122,447.73 $ 211,523.70 248 3/1/2030 $ 122,447.73 $ 1,372.78 $ - $ 1,372.78 $ 842.17 $ 530.61 $ 121,605.56 $ 212,054.30 249 4/1/2030 $ 121,605.56 $ 1,372.78 $ - $ 1,372.78 $ 845.82 $ 526.96 $ 120,759.74 $ 212,581.26 250 5/1/2030 $ 120,759.74 $ 1,372.78 $ - $ 1,372.78 $ 849.49 $ 523.29 $ 119,910.25 $ 213,104.55 251 6/1/2030 $ 119,910.25 $ 1,372.78 $ - $ 1,372.78 $ 853.17 $ 519.61 $ 119,057.09 $ 213,624.16 252 7/1/2030 $ 119,057.09 $ 1,372.78 $ - $ 1,372.78 $ 856.86 $ 515.91 $ 118,200.22 $ 214,140.08 253 8/1/2030 $ 118,200.22 $ 1,372.78 $ - $ 1,372.78 $ 860.58 $ 512.20 $ 117,339.65 $ 214,652.28 254 9/1/2030 $ 117,339.65 $ 1,372.78 $ - $ 1,372.78 $ 864.31 $ 508.47 $ 116,475.34 $ 215,160.75 255 10/1/2030 $ 116,475.34 $ 1,372.78 $ - $ 1,372.78 $ 868.05 $ 504.73 $ 115,607.29 $ 215,665.48 256 11/1/2030 $ 115,607.29 $ 1,372.78 $ - $ 1,372.78 $ 871.81 $ 500.96 $ 114,735.48 $ 216,166.44 257 12/1/2030 $ 114,735.48 $ 1,372.78 $ - $ 1,372.78 $ 875.59 $ 497.19 $ 113,859.89 $ 216,663.63 258 1/1/2031 $ 113,859.89 $ 1,372.78 $ - $ 1,372.78 $ 879.38 $ 493.39 $ 112,980.50 $ 217,157.02 259 2/1/2031 $ 112,980.50 $ 1,372.78 $ - $ 1,372.78 $ 883.20 $ 489.58 $ 112,097.31 $ 217,646.61 260 3/1/2031 $ 112,097.31 $ 1,372.78 $ - $ 1,372.78 $ 887.02 $ 485.76 $ 111,210.29 $ 218,132.36 261 4/1/2031 $ 111,210.29 $ 1,372.78 $ - $ 1,372.78 $ 890.87 $ 481.91 $ 110,319.42 $ 218,614.27 262 5/1/2031 $ 110,319.42 $ 1,372.78 $ - $ 1,372.78 $ 894.73 $ 478.05 $ 109,424.70 $ 219,092.32 263 6/1/2031 $ 109,424.70 $ 1,372.78 $ - $ 1,372.78 $ 898.60 $ 474.17 $ 108,526.09 $ 219,566.50 264 7/1/2031 $ 108,526.09 $ 1,372.78 $ - $ 1,372.78 $ 902.50 $ 470.28 $ 107,623.59 $ 220,036.78 265 8/1/2031 $ 107,623.59 $ 1,372.78 $ - $ 1,372.78 $ 906.41 $ 466.37 $ 106,717.19 $ 220,503.14 266 9/1/2031 $ 106,717.19 $ 1,372.78 $ - $ 1,372.78 $ 910.34 $ 462.44 $ 105,806.85 $ 220,965.59 267 10/1/2031 $ 105,806.85 $ 1,372.78 $ - $ 1,372.78 $ 914.28 $ 458.50 $ 104,892.57 $ 221,424.08 268 11/1/2031 $ 104,892.57 $ 1,372.78 $ - $ 1,372.78 $ 918.24 $ 454.53 $ 103,974.33 $ 221,878.62 269 12/1/2031 $ 103,974.33 $ 1,372.78 $ - $ 1,372.78 $ 922.22 $ 450.56 $ 103,052.10 $ 222,329.17 270 1/1/2032 $ 103,052.10 $ 1,372.78 $ - $ 1,372.78 $ 926.22 $ 446.56 $ 102,125.89 $ 222,775.73 271 2/1/2032 $ 102,125.89 $ 1,372.78 $ - $ 1,372.78 $ 930.23 $ 442.55 $ 101,195.65 $ 223,218.28 272 3/1/2032 $ 101,195.65 $ 1,372.78 $ - $ 1,372.78 $ 934.26 $ 438.51 $ 100,261.39 $ 223,656.79 273 4/1/2032 $ 100,261.39 $ 1,372.78 $ - $ 1,372.78 $ 938.31 $ 434.47 $ 99,323.08 $ 224,091.26 274 5/1/2032 $ 99,323.08 $ 1,372.78 $ - $ 1,372.78 $ 942.38 $ 430.40 $ 98,380.70 $ 224,521.66 275 6/1/2032 $ 98,380.70 $ 1,372.78 $ - $ 1,372.78 $ 946.46 $ 426.32 $ 97,434.24 $ 224,947.97 276 7/1/2032 $ 97,434.24 $ 1,372.78 $ - $ 1,372.78 $ 950.56 $ 422.22 $ 96,483.68 $ 225,370.19 277 8/1/2032 $ 96,483.68 $ 1,372.78 $ - $ 1,372.78 $ 954.68 $ 418.10 $ 95,529.00 $ 225,788.28 278 9/1/2032 $ 95,529.00 $ 1,372.78 $ - $ 1,372.78 $ 958.82 $ 413.96 $ 94,570.18 $ 226,202.24 279 10/1/2032 $ 94,570.18 $ 1,372.78 $ - $ 1,372.78 $ 962.97 $ 409.80 $ 93,607.21 $ 226,612.05 280 11/1/2032 $ 93,607.21 $ 1,372.78 $ - $ 1,372.78 $ 967.15 $ 405.63 $ 92,640.06 $ 227,017.68

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Payment Date Beginning Balance Extra Payment Total Payment Principal Interest Ending Balance Cumulative InterestPmt. No.

Scheduled Payment

281 12/1/2032 $ 92,640.06 $ 1,372.78 $ - $ 1,372.78 $ 971.34 $ 401.44 $ 91,668.73 $ 227,419.12 282 1/1/2033 $ 91,668.73 $ 1,372.78 $ - $ 1,372.78 $ 975.55 $ 397.23 $ 90,693.18 $ 227,816.35 283 2/1/2033 $ 90,693.18 $ 1,372.78 $ - $ 1,372.78 $ 979.77 $ 393.00 $ 89,713.41 $ 228,209.35 284 3/1/2033 $ 89,713.41 $ 1,372.78 $ - $ 1,372.78 $ 984.02 $ 388.76 $ 88,729.39 $ 228,598.11 285 4/1/2033 $ 88,729.39 $ 1,372.78 $ - $ 1,372.78 $ 988.28 $ 384.49 $ 87,741.10 $ 228,982.61 286 5/1/2033 $ 87,741.10 $ 1,372.78 $ - $ 1,372.78 $ 992.57 $ 380.21 $ 86,748.54 $ 229,362.82 287 6/1/2033 $ 86,748.54 $ 1,372.78 $ - $ 1,372.78 $ 996.87 $ 375.91 $ 85,751.67 $ 229,738.73 288 7/1/2033 $ 85,751.67 $ 1,372.78 $ - $ 1,372.78 $ 1,001.19 $ 371.59 $ 84,750.48 $ 230,110.32 289 8/1/2033 $ 84,750.48 $ 1,372.78 $ - $ 1,372.78 $ 1,005.53 $ 367.25 $ 83,744.96 $ 230,477.57 290 9/1/2033 $ 83,744.96 $ 1,372.78 $ - $ 1,372.78 $ 1,009.88 $ 362.89 $ 82,735.08 $ 230,840.47 291 10/1/2033 $ 82,735.08 $ 1,372.78 $ - $ 1,372.78 $ 1,014.26 $ 358.52 $ 81,720.82 $ 231,198.98 292 11/1/2033 $ 81,720.82 $ 1,372.78 $ - $ 1,372.78 $ 1,018.65 $ 354.12 $ 80,702.16 $ 231,553.11 293 12/1/2033 $ 80,702.16 $ 1,372.78 $ - $ 1,372.78 $ 1,023.07 $ 349.71 $ 79,679.10 $ 231,902.82 294 1/1/2034 $ 79,679.10 $ 1,372.78 $ - $ 1,372.78 $ 1,027.50 $ 345.28 $ 78,651.60 $ 232,248.09 295 2/1/2034 $ 78,651.60 $ 1,372.78 $ - $ 1,372.78 $ 1,031.95 $ 340.82 $ 77,619.64 $ 232,588.92 296 3/1/2034 $ 77,619.64 $ 1,372.78 $ - $ 1,372.78 $ 1,036.43 $ 336.35 $ 76,583.22 $ 232,925.27 297 4/1/2034 $ 76,583.22 $ 1,372.78 $ - $ 1,372.78 $ 1,040.92 $ 331.86 $ 75,542.30 $ 233,257.13 298 5/1/2034 $ 75,542.30 $ 1,372.78 $ - $ 1,372.78 $ 1,045.43 $ 327.35 $ 74,496.87 $ 233,584.48 299 6/1/2034 $ 74,496.87 $ 1,372.78 $ - $ 1,372.78 $ 1,049.96 $ 322.82 $ 73,446.92 $ 233,907.30 300 7/1/2034 $ 73,446.92 $ 1,372.78 $ - $ 1,372.78 $ 1,054.51 $ 318.27 $ 72,392.41 $ 234,225.57 301 8/1/2034 $ 72,392.41 $ 1,372.78 $ - $ 1,372.78 $ 1,059.08 $ 313.70 $ 71,333.33 $ 234,539.27 302 9/1/2034 $ 71,333.33 $ 1,372.78 $ - $ 1,372.78 $ 1,063.67 $ 309.11 $ 70,269.67 $ 234,848.38 303 10/1/2034 $ 70,269.67 $ 1,372.78 $ - $ 1,372.78 $ 1,068.28 $ 304.50 $ 69,201.39 $ 235,152.88 304 11/1/2034 $ 69,201.39 $ 1,372.78 $ - $ 1,372.78 $ 1,072.90 $ 299.87 $ 68,128.49 $ 235,452.75 305 12/1/2034 $ 68,128.49 $ 1,372.78 $ - $ 1,372.78 $ 1,077.55 $ 295.22 $ 67,050.93 $ 235,747.98 306 1/1/2035 $ 67,050.93 $ 1,372.78 $ - $ 1,372.78 $ 1,082.22 $ 290.55 $ 65,968.71 $ 236,038.53 307 2/1/2035 $ 65,968.71 $ 1,372.78 $ - $ 1,372.78 $ 1,086.91 $ 285.86 $ 64,881.80 $ 236,324.40 308 3/1/2035 $ 64,881.80 $ 1,372.78 $ - $ 1,372.78 $ 1,091.62 $ 281.15 $ 63,790.17 $ 236,605.55 309 4/1/2035 $ 63,790.17 $ 1,372.78 $ - $ 1,372.78 $ 1,096.35 $ 276.42 $ 62,693.82 $ 236,881.98 310 5/1/2035 $ 62,693.82 $ 1,372.78 $ - $ 1,372.78 $ 1,101.10 $ 271.67 $ 61,592.72 $ 237,153.65 311 6/1/2035 $ 61,592.72 $ 1,372.78 $ - $ 1,372.78 $ 1,105.88 $ 266.90 $ 60,486.84 $ 237,420.55 312 7/1/2035 $ 60,486.84 $ 1,372.78 $ - $ 1,372.78 $ 1,110.67 $ 262.11 $ 59,376.17 $ 237,682.66 313 8/1/2035 $ 59,376.17 $ 1,372.78 $ - $ 1,372.78 $ 1,115.48 $ 257.30 $ 58,260.69 $ 237,939.96 314 9/1/2035 $ 58,260.69 $ 1,372.78 $ - $ 1,372.78 $ 1,120.31 $ 252.46 $ 57,140.38 $ 238,192.42 315 10/1/2035 $ 57,140.38 $ 1,372.78 $ - $ 1,372.78 $ 1,125.17 $ 247.61 $ 56,015.21 $ 238,440.03 316 11/1/2035 $ 56,015.21 $ 1,372.78 $ - $ 1,372.78 $ 1,130.04 $ 242.73 $ 54,885.16 $ 238,682.76 317 12/1/2035 $ 54,885.16 $ 1,372.78 $ - $ 1,372.78 $ 1,134.94 $ 237.84 $ 53,750.22 $ 238,920.60 318 1/1/2036 $ 53,750.22 $ 1,372.78 $ - $ 1,372.78 $ 1,139.86 $ 232.92 $ 52,610.36 $ 239,153.51 319 2/1/2036 $ 52,610.36 $ 1,372.78 $ - $ 1,372.78 $ 1,144.80 $ 227.98 $ 51,465.56 $ 239,381.49 320 3/1/2036 $ 51,465.56 $ 1,372.78 $ - $ 1,372.78 $ 1,149.76 $ 223.02 $ 50,315.80 $ 239,604.51 321 4/1/2036 $ 50,315.80 $ 1,372.78 $ - $ 1,372.78 $ 1,154.74 $ 218.04 $ 49,161.06 $ 239,822.54 322 5/1/2036 $ 49,161.06 $ 1,372.78 $ - $ 1,372.78 $ 1,159.75 $ 213.03 $ 48,001.32 $ 240,035.58 323 6/1/2036 $ 48,001.32 $ 1,372.78 $ - $ 1,372.78 $ 1,164.77 $ 208.01 $ 46,836.55 $ 240,243.58 324 7/1/2036 $ 46,836.55 $ 1,372.78 $ - $ 1,372.78 $ 1,169.82 $ 202.96 $ 45,666.73 $ 240,446.54 325 8/1/2036 $ 45,666.73 $ 1,372.78 $ - $ 1,372.78 $ 1,174.89 $ 197.89 $ 44,491.84 $ 240,644.43 326 9/1/2036 $ 44,491.84 $ 1,372.78 $ - $ 1,372.78 $ 1,179.98 $ 192.80 $ 43,311.86 $ 240,837.23 327 10/1/2036 $ 43,311.86 $ 1,372.78 $ - $ 1,372.78 $ 1,185.09 $ 187.68 $ 42,126.77 $ 241,024.91 328 11/1/2036 $ 42,126.77 $ 1,372.78 $ - $ 1,372.78 $ 1,190.23 $ 182.55 $ 40,936.54 $ 241,207.46 329 12/1/2036 $ 40,936.54 $ 1,372.78 $ - $ 1,372.78 $ 1,195.39 $ 177.39 $ 39,741.15 $ 241,384.85

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Payment Date Beginning Balance Extra Payment Total Payment Principal Interest Ending Balance Cumulative InterestPmt. No.

Scheduled Payment

330 1/1/2037 $ 39,741.15 $ 1,372.78 $ - $ 1,372.78 $ 1,200.57 $ 172.21 $ 38,540.59 $ 241,557.06 331 2/1/2037 $ 38,540.59 $ 1,372.78 $ - $ 1,372.78 $ 1,205.77 $ 167.01 $ 37,334.82 $ 241,724.07 332 3/1/2037 $ 37,334.82 $ 1,372.78 $ - $ 1,372.78 $ 1,210.99 $ 161.78 $ 36,123.83 $ 241,885.86 333 4/1/2037 $ 36,123.83 $ 1,372.78 $ - $ 1,372.78 $ 1,216.24 $ 156.54 $ 34,907.59 $ 242,042.39 334 5/1/2037 $ 34,907.59 $ 1,372.78 $ - $ 1,372.78 $ 1,221.51 $ 151.27 $ 33,686.08 $ 242,193.66 335 6/1/2037 $ 33,686.08 $ 1,372.78 $ - $ 1,372.78 $ 1,226.80 $ 145.97 $ 32,459.27 $ 242,339.63 336 7/1/2037 $ 32,459.27 $ 1,372.78 $ - $ 1,372.78 $ 1,232.12 $ 140.66 $ 31,227.15 $ 242,480.29 337 8/1/2037 $ 31,227.15 $ 1,372.78 $ - $ 1,372.78 $ 1,237.46 $ 135.32 $ 29,989.69 $ 242,615.61 338 9/1/2037 $ 29,989.69 $ 1,372.78 $ - $ 1,372.78 $ 1,242.82 $ 129.96 $ 28,746.87 $ 242,745.56 339 10/1/2037 $ 28,746.87 $ 1,372.78 $ - $ 1,372.78 $ 1,248.21 $ 124.57 $ 27,498.66 $ 242,870.13 340 11/1/2037 $ 27,498.66 $ 1,372.78 $ - $ 1,372.78 $ 1,253.62 $ 119.16 $ 26,245.05 $ 242,989.29 341 12/1/2037 $ 26,245.05 $ 1,372.78 $ - $ 1,372.78 $ 1,259.05 $ 113.73 $ 24,986.00 $ 243,103.02 342 1/1/2038 $ 24,986.00 $ 1,372.78 $ - $ 1,372.78 $ 1,264.50 $ 108.27 $ 23,721.49 $ 243,211.30 343 2/1/2038 $ 23,721.49 $ 1,372.78 $ - $ 1,372.78 $ 1,269.98 $ 102.79 $ 22,451.51 $ 243,314.09 344 3/1/2038 $ 22,451.51 $ 1,372.78 $ - $ 1,372.78 $ 1,275.49 $ 97.29 $ 21,176.02 $ 243,411.38 345 4/1/2038 $ 21,176.02 $ 1,372.78 $ - $ 1,372.78 $ 1,281.01 $ 91.76 $ 19,895.01 $ 243,503.14 346 5/1/2038 $ 19,895.01 $ 1,372.78 $ - $ 1,372.78 $ 1,286.57 $ 86.21 $ 18,608.44 $ 243,589.35 347 6/1/2038 $ 18,608.44 $ 1,372.78 $ - $ 1,372.78 $ 1,292.14 $ 80.64 $ 17,316.30 $ 243,669.99 348 7/1/2038 $ 17,316.30 $ 1,372.78 $ - $ 1,372.78 $ 1,297.74 $ 75.04 $ 16,018.56 $ 243,745.03 349 8/1/2038 $ 16,018.56 $ 1,372.78 $ - $ 1,372.78 $ 1,303.36 $ 69.41 $ 14,715.20 $ 243,814.44 350 9/1/2038 $ 14,715.20 $ 1,372.78 $ - $ 1,372.78 $ 1,309.01 $ 63.77 $ 13,406.19 $ 243,878.21 351 10/1/2038 $ 13,406.19 $ 1,372.78 $ - $ 1,372.78 $ 1,314.68 $ 58.09 $ 12,091.50 $ 243,936.30 352 11/1/2038 $ 12,091.50 $ 1,372.78 $ - $ 1,372.78 $ 1,320.38 $ 52.40 $ 10,771.12 $ 243,988.70 353 12/1/2038 $ 10,771.12 $ 1,372.78 $ - $ 1,372.78 $ 1,326.10 $ 46.67 $ 9,445.02 $ 244,035.37 354 1/1/2039 $ 9,445.02 $ 1,372.78 $ - $ 1,372.78 $ 1,331.85 $ 40.93 $ 8,113.17 $ 244,076.30 355 2/1/2039 $ 8,113.17 $ 1,372.78 $ - $ 1,372.78 $ 1,337.62 $ 35.16 $ 6,775.55 $ 244,111.46 356 3/1/2039 $ 6,775.55 $ 1,372.78 $ - $ 1,372.78 $ 1,343.42 $ 29.36 $ 5,432.13 $ 244,140.82 357 4/1/2039 $ 5,432.13 $ 1,372.78 $ - $ 1,372.78 $ 1,349.24 $ 23.54 $ 4,082.90 $ 244,164.36 358 5/1/2039 $ 4,082.90 $ 1,372.78 $ - $ 1,372.78 $ 1,355.08 $ 17.69 $ 2,727.81 $ 244,182.05 359 6/1/2039 $ 2,727.81 $ 1,372.78 $ - $ 1,372.78 $ 1,360.96 $ 11.82 $ 1,366.85 $ 244,193.87 360 7/1/2039 $ 1,366.85 $ 1,372.78 $ - $ 1,366.85 $ 1,360.93 $ 5.92 $ - $ 244,199.79 361 8/1/2039 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 362 9/1/2039 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 363 10/1/2039 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 364 11/1/2039 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 365 12/1/2039 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 366 1/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 367 2/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 368 3/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 369 4/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 370 5/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 371 6/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 372 7/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 373 8/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 374 9/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 375 10/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 376 11/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 377 12/1/2040 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 378 1/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79

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Scheduled Payment

379 2/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 380 3/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 381 4/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 382 5/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 383 6/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 384 7/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 385 8/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 386 9/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 387 10/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 388 11/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 389 12/1/2041 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 390 1/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 391 2/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 392 3/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 393 4/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 394 5/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 395 6/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 396 7/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 397 8/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 398 9/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 399 10/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 400 11/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 401 12/1/2042 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 402 1/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 403 2/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 404 3/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 405 4/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 406 5/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 407 6/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 408 7/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 409 8/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 410 9/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 411 10/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 412 11/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 413 12/1/2043 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 414 1/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 415 2/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 416 3/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 417 4/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 418 5/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 419 6/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 420 7/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 421 8/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 422 9/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 423 10/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 424 11/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 425 12/1/2044 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 426 1/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 427 2/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79

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Payment Date Beginning Balance Extra Payment Total Payment Principal Interest Ending Balance Cumulative InterestPmt. No.

Scheduled Payment

428 3/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 429 4/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 430 5/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 431 6/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 432 7/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 433 8/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 434 9/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 435 10/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 436 11/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 437 12/1/2045 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 438 1/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 439 2/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 440 3/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 441 4/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 442 5/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 443 6/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 444 7/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 445 8/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 446 9/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 447 10/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 448 11/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 449 12/1/2046 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 450 1/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 451 2/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 452 3/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 453 4/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 454 5/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 455 6/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 456 7/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 457 8/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 458 9/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 459 10/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 460 11/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 461 12/1/2047 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 462 1/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 463 2/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 464 3/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 465 4/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 466 5/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 467 6/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 468 7/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 469 8/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 470 9/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 471 10/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 472 11/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 473 12/1/2048 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 474 1/1/2049 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 475 2/1/2049 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 476 3/1/2049 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79

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Scheduled Payment

477 4/1/2049 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 478 5/1/2049 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 479 6/1/2049 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79 480 7/1/2049 $ - $ 1,372.78 $ - $ - $ - $ - $ - $ 244,199.79

Page 45: Chap 005 Master

Chapter 5 - Master it!

Excel is a tool for solving problems, but with many time value of money problems, you may still need to draw a time line.

Years until retirement: 30 Amount to withdraw each year: $ 90,000 Years to withdraw in retirement: $ 20 Interest rate: 8%

b.

c.

Employer's annual contribution: $ 1,500 Years until trust fund distribution: 20 Amount of trust fund distribution: $ 25,000

This is a classic retirement problem. A friend is celebrating her birthday and wants to start saving for her anticipated retirement. She has the following years to retirement and retirement spending goals:

Because your friend is planning ahead, the first withdrawal will not take place until one year after she retires. She wants to make equal annual deposits into her account for her retirement fund.

a. If she starts making these deposits in one year and makes her last deposit on the day she retires, what amount must she deposit annually to be able to make the desired withdrawals at retirement?

Suppose your friend has just inherited a large sum of money. Rather than making equal annual payments, she has decided to make one lump sum deposit today to cover her retirement needs. What amount does she have to deposit today?

Suppose your friend's employer will contribute to the account each year as part of the company's profit sharing plan. In addition, your friend expects a distribution from a family trust several years from now. What amount must she deposit annually now to be able to make the desired withdrawals at retirement?

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Excel is a tool for solving problems, but with many time value of money problems, you may still need to draw a time line.

This is a classic retirement problem. A friend is celebrating her birthday and wants to start saving for her anticipated retirement. She has the following years to

Because your friend is planning ahead, the first withdrawal will not take place until one year after she retires. She wants to make equal annual deposits into her

If she starts making these deposits in one year and makes her last deposit on the day she retires, what amount must she deposit annually to be able to make the

Suppose your friend has just inherited a large sum of money. Rather than making equal annual payments, she has decided to make one lump sum deposit today to cover her retirement needs. What amount does she have to deposit today?

Suppose your friend's employer will contribute to the account each year as part of the company's profit sharing plan. In addition, your friend expects a distribution from a family trust several years from now. What amount must she deposit annually now to be able to make the desired withdrawals at retirement?

Page 47: Chap 005 Master

Master it! Solution

Amount needed at retirement:

a. The amount your friend must save each year to fund her retirement is:

Amount to save each year:

b. The lump sum your friend must deposit today to fund her retirement is:

Lump sum deposited today:

c.

Value of employer's contribution at retirement:Value of trust fund at retirement:

Amount to save each year now:

In order to answer any of these questions, first we need to know how much your friend will need when she is ready to retire. Since this amount will be the same for each of the parts of the problem, we will solve for this amount now, which will be:

To find the amount of the annual deposit now, it is easier to break down the components of the problem. Doing so for each of the following to find your friend's annual deposit, we get:

Page 48: Chap 005 Master

The amount your friend must save each year to fund her retirement is:

The lump sum your friend must deposit today to fund her retirement is:

In order to answer any of these questions, first we need to know how much your friend will need when she is ready to retire. Since this amount will be the same for each of the parts of the problem, we will solve for this amount now, which will be:

To find the amount of the annual deposit now, it is easier to break down the components of the problem. Doing so for each of the following to find your friend's