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    FINANCIAL MANAGEMENT

    MB0029

    SET2MBA 2ndSEM

    Name Mohammed Roohul Ameen

    Roll Number

    Learning Center SMU Riyadh (02543)

    Subject Financial Management

    Date of Submission 28 Feb 2010

    Assignment Number MB0029

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    1. Is Equity Capital Free of cost? Substantiate your statement.

    Calculating the cost of equity can be tricky since there are two different types of equity.Firms have retained earnings (the money left over after dividends are paid) as the first

    type of equity. The second form of equity comes from issuing new shares of stock.

    Cost of equity capital is acknowledged as the rate of return that is necessary to satisfy

    commitments made to the common shareholders of a corporation. Generally, the cost of

    equity capital is expected to be equal to the rate of return that is expected on equity-

    supplied capital.

    In order to determine the cost of equity capital, it is necessary to know three specific

    figures. First, the current market value associated with the shares must be determined.

    Second, the dividend growth rate as it relates to the period under consideration must be

    calculated. Last, the number of dividends per share should be identified. Once these three

    pieces of information are in hand, it is possible quickly calculate the current cost of equity

    capital.

    The cost of equity under dividend valuation model is calculated by the following formula:

    The formula above calculates the cost of equity based on a firm's current rate of return. If oneassumes a perfect market, industry-specific costs of equity reflect the riskiness of particular

    industries. A high cost of equity would then indicate a higher-risk industry that should command

    a higher return to compensate for the higher risk.

    And using the CAPM model, the cost of equity is the product of the Market Risk Premium and

    the equity's beta plus the risk-free interest rate.

    Or

    Symbolically written as

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    Equity Capital is not free of cost:

    Some people are of the opinion that equity capital is free of cost for the reason that a company

    is not legally bound to pay dividends and also the rate of equity dividend is not fixed like

    preference dividends. This is not a correct view as equity shareholders buy shares with the

    expectation of dividends and capital appreciation. Dividends enhance the market value ofshares and therefore equity capital is not free of cost.

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    2.A) What is the rate of return for a company if the is 1.25, risk free rate of

    return is 8% and the market rate of return is 14%? Use CAPM model.

    = 1.25

    Risk free Rate of Return= 8%

    Market Rate of return = 14%

    Rate of return for a company is given by,

    Ke = Rf + [Rm-Rf]

    Ke = 0.08 + 1.25(0.14-0.08)

    Ke = 0.08 + 0.275

    = 0.155 or 15.5%

    Therefore the rate of return for the company is 15.5%

    Office of Government Commerce,Trevelyan House, 26 - 30 Great Peter Street, London SW1P 2BYService Desk: 0845 000 4999 E: [email protected]

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    2.

    B) Sundaram Transports has the following capital structure.

    Equity capital Rs.10 par value 250 lakhs

    12% preference share capital Rs.100 each 100 lakhsRetained earnings 150 lakhs

    12% Debentures (Rs.100 each) 350 lakhs

    14% Term loan from SBI 150 lakhs

    Total 1000 lakhs

    The market price per equity is Rs 54. The company is expected to declare a dividend per share

    of Rs.2 per share and there will be a growth of 10% in the dividends for the next 5 years. The

    preference shares are redeemable at a premium of Rs.5 per share after 8 years. The current

    market price of preference share is Rs.92. Debenture redemption will take place after 7 years at

    a discount of 2% and the current market price is Rs.91 per debenture. The corporate tax rate is

    40%. Calculate WACC.

    Solution:

    Market price per equity = PO = 54

    Expected dividend per share = D1 = Rs.2Rate of growth of dividend = g =0.1

    Step I isto determine the cost of each component.

    Cost of equity capital, Ke =( D1/P0) + g

    = (2/54) + 0.1

    = 0.137 or 13.7%

    Preference dividend payable = D = 12

    Present value P =92

    Future Value F =105

    Period n =8

    Cost of preference capital, Kp = [D + {(FP)/n}] / {F+P)/2}

    = [12 + (10592)/8] / (105+92)/2

    =13.625/98.5

    = 0.1383 or 13.83%Cost of retained earnings, Kr = Ke this is 13.7%

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    Annual interest payable per unit debenture = I = 12%

    Corporate tax rate = T = 40%

    Redemption price per debenture = F = 105

    Net amount realized per debenture = P= 92

    Maturity period = n = 7

    Cost of debentures, Kd = [I(1T) + {(FP)/n}] / {F+P)/2}

    = [12(10.4) + (10592)/7] / (105+92)/2

    = [7.2 + 1.857] / 98.5

    = 0.09195 or 9.2%

    Cost of term loans, Kt = I (1T)

    = 0.14(10.4)

    = 0.084 or 8.4%

    Step II is to calculate the weights of each source.

    We = 250/1000 = 0.25

    Wp = 100/1000 = 0.1

    Wr = 150/1000 = 0.15

    Wd = 350/1000 = 0.35

    Wt = 150/1000 = 0.15

    Step III Multiply the costs of various sources of finance with corresponding weights and WACC

    calculated by adding all these components.

    WACC = WeKe + WpKp +WrKr + WdKd + WtKt

    = (0.25*0.137) + (0.1*0.1383) + (0.15*0.137) + (0.35*0.092) + (0.15*0.084)

    = 0.03425 + 0.01383 + 0.021 + 0.0322 + 0.0126

    = 0.1139 or 11.39%

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    3. The effective cost of debt is less than the actual interest payment made by the firm.

    Do you agree with this statement? If yes/no substantiate your views.

    Yes the effective cost of debt is less than actual interest payment made by the firm.

    True cost of debt Most small and emerging businesses use debt as part of their financing

    structure. (The exceptions--and they have dwindled--are those high-potential ventures that can

    raise money through promises of potentially lucrative slices of equity.)

    The financial crisis is proof that too few people either 1) know how to perform these

    calculations or 2) bother to live by what the numbers are telling them. The first part is

    somewhat easily remedied; the second, sadly, is perhaps something only a painful recession can

    drive home.

    Lenders like to receive interest each month. (Bonds carry less frequent payments, with

    quarterly or semi-annual installments, but smaller businesses usually do not have access to the

    bond market.) Here's where things get tricky: Paying interest monthly effectively raises your

    interest rate.

    Say the lender says it will lend to you at 12% per year, to be paid 1% per month. (On $100, that

    means you will pay $1 each month.) But by paying monthly, you have raised your effective rate,

    which takes into account the time value of money. Observed through that lens, your annual

    interest cost is 12.7%.

    The cost of debt is computed by taking the rate on a risk free bond whose duration and

    conditions match the term structure of the corporate debt, then adding a default premium due

    to the risk factor involved in that investment. This default premium will rise as the amount of

    debt increases in the capital structure of the entity. Since in most cases debt expense is a

    deductible expense for tax purpose, the cost of debt is computed as an after tax cost to make it

    comparable with the cost of equity (earnings are after-tax as well). Thus, for profitable firms,

    debt is discounted by the tax rate. The formula can be written as (Rf + credit risk rate) (1-T),

    where T is the corporate tax rate and Rf is the risk free rate.

    A company will use various bonds, loans and other forms of debt, so this measure is useful for

    giving an idea as to the overall rate being paid by the company to use debt financing. The

    measure can also give investors an idea as to the riskiness of the company compared to others,

    because riskier companies generally have a higher cost of debt.

    To get the after-tax rate, you simply multiply the before-tax rate by one minus the marginal tax

    rate (before-tax rate x (1-marginal tax)). If a company's only debt were a single bond in which it

    paid 5%, the before-tax cost of debt would simply be 5%. If, however, the company's marginal

    tax rate were 40%, the company's after-tax cost of debt would be only 3% (5% x (1-40%)).

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    4. Why capital budgeting decision very crucial for finance managers?

    Capital budgeting decision is very crucial as it helps with the go-no-go decisions of firm.

    Financial management is largely concerned withfinancing, dividendand investmentdecisions of

    the firm with overall goal in mind. Corporate finance theory has developed around a goal of

    maximizing the market value of the firm to its shareholders. This is also known as shareholder

    wealth maximization. Although various objectives or goals are possible in the field of finance,

    the most widely accepted objective for the firm is to maximize the value of the firm to its

    owners.

    Capital budgeting is a required managerial tool. One duty of a financial manager is to choose

    investments with satisfactory cash flows and rates of return. Therefore, a financial manager

    must be able to decide whether an investment is worth undertaking and be able to choose

    intelligently between two or more alternatives. To do this, a sound procedure to evaluate,

    compare, and select projects is needed.

    The planning process used to determine whether a firm's long term investments such as new

    machinery, replacement machinery, new plants, new products, and research development

    projects are worth pursuing. It is budget for major capital, or investment, expenditures.

    Many formal methods are used in capital budgeting, including the techniques such as

    Accounting rate of return Net present value Profitability index Internal rate of return Modified internal rate of return Equivalent annuity

    These methods use the incremental cash flows from each potential investment, or project

    Techniques based on accounting earnings and accounting rules are sometimes used - though

    economists consider this to be improper - such as the accounting rate of return, and "return on

    investment." Simplified and hybrid methods are used as well, such as payback periodand

    discounted payback period.

    Accounting rate of return or ARR

    Is a financial ratio used in capital budgeting. The ratio does not take into account the concept of

    time value of money. ARR calculates the return, generated from net income of the proposed

    capital investment. The ARR is a percentage return. Say, if ARR = 7%, then it means that the

    project is expected to earn seven cents out each dollar invested. If the ARR is equal to or greater

    than the required rate of return, the project is acceptable. If it is less than the desired rate, it

    should be rejected. When comparing investments, the higher the ARR, the more attractive the

    investment.

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    Net present value (NPV) or Net present worth (NPW)

    The net present value (NPV) or net present worth (NPW)of a time series of cash flows, both

    incoming and outgoing, is defined as the sum of the present values (PVs) of the individual cash

    flows. In case when all future cash flows are incoming (such as coupons and principal of a bond)

    and the only outflow of cash is the purchase price, the NPV is simply the NPV of future cashflows minus the purchase price (which is its own PV). NPV is a central tool in discounted cash

    flow (DCF) analysis, and is a standard method for using the time value of money to appraise

    long-term projects. Used for capital budgeting, and widely throughout economics, finance, and

    accounting, it measures the excess or shortfall of cash flows, in present value terms, once

    financing charges are met.

    The NPV of a sequence of cash flows takes as input the cash flows and a discount rate or

    discount curve and outputting a price; the converse process in DCF analysis, taking as input a

    sequence of cash flows and a price and inferring as output a discount rate (the discount rate

    which would yield the given price as NPV) is called the yield, and is more widely used in bondtrading.

    Profitability index (PI)

    Also known as profit investment ratio (PIR) and value investment ratio (VIR), is the ratio of

    investment to payoff of a proposed project. It is a useful tool for ranking projects because it

    allows you to quantify the amount of value created per unit of investment.

    The ratio is calculated as follows:

    Another formula to calculate Profitability index (P.I) is[1]

    Assuming that the cash flow calculated does not include the investment made in the project, a

    profitability index of 1 indicates breakeven. Any value lower than one would indicate that the

    project's PV is less than the initial investment. As the value of the profitability index increases,

    so does the financial attractiveness of the proposed project.

    Rules for selection or rejection of a project:

    If PI > 1 then accept the project

    If PI < 1 then reject the project

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    Internal rate of return

    The internal rate of return (IRR) is a rate of return used in capital budgeting to measure and

    compare the profitability of investments. It is also called the discounted cash flow rate of return

    (DCFROR) or simply the rate of return (ROR). In the context of savings and loans the IRR is also

    called the effective interest rate. The term internalrefers to the fact that its calculation doesnot incorporate environmental factors (e.g., the interest rate or inflation).

    Modified internal rate of return

    Modified internal rate of return (MIRR) is a financial measure of an investment's attractiveness.

    It is used in capital budgeting to rank alternative investments. As the name implies, MIRR is a

    modification of the internal rate of return (IRR) and as such aims to resolve some problems with

    the IRR.

    Equivalent annual cost

    In finance the equivalent annual cost (EAC) is the cost per year of owning and operating an

    asset over its entire lifespan.

    EAC is often used as a decision making tool in capital budgeting when comparing investment

    projects of unequal life spans. For example if project A has an expected lifetime of 7 years, and

    project B has an expected lifetime of 11 years it would be improper to simply compare the netpresent values (NPVs) of the two projects, unless neither project could be repeated.

    EAC is calculated by dividing the NPV of a project by the present value of an annuityfactor.

    Equivalently, the NPV of the project may be multiplied by the loan repayment factor.

    EAC=

    The use of the EAC method implies that the project will be replaced by an identical project.

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    5. A road project require an initial investment of Rs.10,00,000. It is expected to

    generate the following cash flow in the form of toll tax recovery.

    Year Cash Inflows

    1 4,50,000

    2 4,25,0003 3,00,000

    4 3,50,000

    What is the IRR of the project?

    Step I:

    Compute the average of annual cash inflows

    Year Cash inflows

    1 450000

    2 425000

    3 300000

    4 350000

    Total 1525000

    Average = 1525000 /4

    = Rs. 381250

    Step II:

    Divide the initial investment by the average of annul cash inflows:

    = 1000000/381250

    = 2.62

    Step III:

    From PVIFA table for 4 years, the annuity factor very near 2.62 is 19%. Therefore the first initial

    rate is 19%

    Year Cash flows PVIF factor @ 19% PV of cash flows

    1 450000 0.84 378000

    2 425000 0.706 300050

    3 300000 0.593 177900

    4 350000 0.499 174650

    Total 1030600

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    Since the initial investment of Rs. 10,00,000 is less than computed value at 19% of Rs. 1030600

    the next trail rate is 20%

    Year Cash flows PVIF factor @ 20% PV of cash flows

    1 450000 0.833 374850

    2 425000 0.694 294950

    3 300000 0.579 1737004 350000 0.482 168700

    Total 1012200

    The next trail is 21%

    Year Cash flows PVIF factor @ 21% PV of cash flows

    1 450000 0.826 371700

    2 425000 0.683 290275

    3 300000 0.564 169200

    4 350000 0.467 163450

    Total 994625

    Since the investment of Rs.10,00,000 lies between 21% and 20%, the IRR by interpolation is,

    20 +1000000 1012200

    (1000000 994625)x 1

    IRR = 20.7%

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    6. What is sensitivity analysis? Mention the steps involved in it.

    Sensitivity Analysis

    A technique used to determine how different values of an independent variable will impact a

    particular dependent variable under a given set of assumptions. This technique is used

    within specific boundaries that will depend on one or more input variables, such as the

    effect that changes in interest rates will have on a bond's price.

    Sensitivity analysis is a way to predict the outcome of a decision if a situation turns out to be

    different compared to the key prediction(s).

    Sensitivity analysis is very useful when attempting to determine the impact the actual outcomeof a particular variable will have if it differs from what was previously assumed. By creating

    a given set of scenarios, the analyst can determine how changes in one variable(s) will impact

    the target variable.

    For example, an analyst might create a financial model that will value a company's equity

    (the dependent variable) given the amount of earnings per share (an independent variable) the

    company reports at the end of the year and the company's price-to-earnings multiple (another

    independent variable) at that time. The analyst can create a table of predicted price-to-earnings

    multiples and a corresponding value of the company's equity based on different values for each

    of the independent variables.

    In other words before an investment decision is taken, numerous forecasts of many factors

    connected with the project are considered. Cash flows are predicted based on sales. Sales are in

    turn dependent on the volume and unit selling price. Volume of sales depends on the market

    size and the firms market share. Costs include variable costs which depend on the sales

    volume. The NPV or

    IRR of the project is again determined by the by analyzing the after-tax cash flows. We can

    understand that it is difficult to arrive at an unbiased and accurate forecast of each variable. If

    forecasts go wrong, the reliability of NPV or IRR is lost. Therefore each item of forecast ischanged, one at a time, to at least three values pessimistic, expected and optimistic. NPV is re-

    calculated for all the three assumptions. This method of re-calculating NPV or IRR for each

    forecast is called sensitivity analysis.

    The steps involved in sensitivity analysis are:

    Identification of variables that will influence on the projects NPV/IRR. Determining the mathematical relationship between the variables. Analyzing the impact of the change in each of the variable on the projects NPV.