Monte Carlo Simulations for Real Estate Valuation

8/9/2019 Monte Carlo Simulations for Real Estate Valuation

1/32

FAME - International Center for Financial Asset Management and Engineering

Monte Carlo Simulationsfor Real Estate Valuation

Martin HOESLI

Research Paper N148June 2005

HEC, University of Geneva, FAME and University of AberdeenElion JANIHEC, University of Geneva

Andr BENDERHEC, University of Geneva and FAME


2/32

Monte Carlo Simulations for Real Estate Valuation

Martin Hoesli*, Elion Jani** and Andr Bender***

This draft: 17 May 2005

Abstract

We use the Adjusted Present Value (APV) method with Monteestate valuation purposes. Monte Carlo simulations make it uncertainty of valuation parameters, in particular of future cash fterminal values. We use empirical data to extract information distributions of the various parameters and suggest a simple mrate. We forecast the term structure of interest rates using aCox et al . (1add a premium that is related to both the real estate market ancharacteristics. Our empirical results suggest that the central vamost cases slightly less than the hedonic values. The confidenmost sensitive to the long-term equilibrium interest rate beingrowth rate of the terminal value.

Keywords: Real estate valuation; Monte Carlo simulations; Adjusted PresentJEL codes: R32, G12, G23


3/32

Executive Summary

The discounted cash flow method is now widely used as a vaproducing real estate in many countries. In fact, it is generalyields a fair value estimate in the spirit of the new accountancvery useful indeed, but does suffer from some limitations. Thesvalue of the property is needed to compute the discount rate, (2)to be constant during the entire holding period, and (3) uncertainaccount.

The main contribution of this paper is in incorporating uncertaiThis is achieved by using the distributions of the various input estimates as is customary in DCF valuations. We also deal withthe DCF approach in that we develop a method to estimate the require prior knowledge of a propertys value, and use a timedistributions of the parameters are constructed using various datareal estate markets, and the empirical analysis is performed usin30 properties located in Geneva.

Our results show that the estimated values are on average 6.7%would be expected in the current environment. As our discomean-reversion component, they will overshoot market interestlow interest rates, and hence values will be somewhat conservatithe standard deviation of our present values is in most casespositively related to the percentage of the property which is devsensitivity analyses suggest that the value estimates react most


4/32

Royal Institution of Chartered Surveyors (RICS) in the U.K., for examining how uncertainty can be used together with the value eimportance of uncertainty for the valuation profession. Also, thethe literature about valuation variation and the margin of error inapproach which is advocated in this paper should constitute a con


5/32

Monte Carlo Simulations for Real Estate Valuation

1. Introduction

Among the various approaches to valuing real estate, the discounusing the weighted average cost of capital (WACC) as the disco

academics and broadly used by practitioners. The consensuadvantages, in particular its economic rationality. The DCF mtime value of money and has a unique result regardless of inve2002). In addition, the procedure is clearly defined and can easil

Although the DCF method plays a crucial role in valuation, ipitfalls. First, the traditional DCF analysis is performed under da discussion, see Wofford, 1978; Mollart, 1988; French and Gabone does not take into account uncertainty in the estimated castherefore devalued when forecasts do not materialise or eve

manipulated (Kelliher and Mahoney, 2000; Weeks, 2003). Tsevere in real estate valuation since the terminal value, whicforecasted free cash flow, the perpetual rate of growth and on cases the largest component of the present value. If such paramrigorously, the estimated value of a property can be very far off

latter value is known, one can also say that it is easy to set paramvalue that is close to it.

Another drawback of the DCF method is that there is a circular


6/32

author, for instance, finds that the risk premium on direct unsecuvaries over time and is strongly related to general economic cond

In this research, we use the Adjusted Present Value (APV) metho(1974), but by adding Monte Carlo simulations. Under some ayields the same results as the widely used DCF technique (Fernacircularity problem created by debt financing (Achour-FischeMonte Carlo simulations, which are based on statistical measureof the variables that enter in the APV method, we address the un

With the APV methodology, the discount rate represents the reqequity-financed properties. Many data analyses have lead us Asset Pricing Model (CAPM) is in most cases not applicable toreturn1. First, there are usually not sufficient historical data for dSecond, an appropriate definition of the market portfolio and weight of real estate in such portfolio is difficult. Third, the rinvestments may be poor proxies for direct real estate returns (Lproblem is exacerbated when one attempts to remove the ehistorical returns may be poor proxies for expected future returnFinally, as mentioned previously, most such models assume that r

The contributions of the paper are as follows. First, we aduncertainty in valuing real estate. This is achieved by using a Man APV framework. Further, our approach prevents subjectiveparameters used to compute the terminal value, as these are models or procedures Finally we model the discount rate by


7/32

the quality of buildings. Hence our method considers that risk ionly related to covariance with the market as posited by the CAclosely related to Arbitrage Pricing Theory (APT).

The Monte Carlo technique, whose name comes from the famdeveloped by famous scientists, such as Enrico Fermi, in the neutron diffusion, or John von Neumann and Stanislaw Umathematical basis for probability density functions (Fishmsubsequently used to solve problems related to the atomic bastronomy or agriculture. In finance, Monte Carlo simulations hmany years, in particular to price derivatives, to forecast stock pas in capital budgeting (Dixit and Pindyck, 1994). In real estat(1972) and Pyhrr (1973) have used simulations but not Monte uncertainties related to investment forecasting. In the same veinanalyse the uncertainty issues related to any valuation. The Monhas also been applied to forecast future cash flows in order to imreal estate (Kelliher and Mahoney, 2000; Tucker, 2001; Frenchapproach differs from previous research in that we forecast a tialso includes a premium related to selected hedonic characteristiMonte Carlo simulation technique is quite limited, probably paand statistical dimension of this approach3.

We apply our approach to an institutional real estate portfoestimated hedonic value for each of 30 properties. This allows values with the hedonic estimates. Overall, we find that the cenare quite similar (albeit lower) to the hedonic values but the stan


8/32

The remainder of the paper is organised as follows. In section 2methodology and highlight how it addresses some of the pittechnique. Section 2 also contains a discussion of how we estiof the APV and of the hypotheses that are made concerning thvariables. The data and some descriptive statistics are presentedcontains the results of Monte Carlo simulations and of their sens

2. Method

The APV methodology postulates that an asset has a value undplus, possibly, an additional value resulting from market imperfmarket imperfections only the debt financing and using forecastehorizon, the value of a property can be written as follows:

( ) ( ) ( )T uT

T

t t

i

T

t t

u

t

k TV

k t Dik

k FCF

PV +

++

++

= == 11

11 110

where

PV 0 = value of the property at time t=0FCF t = free cash-to-property at time t (t = 1 to T)

D t = value of debt at time tTV T = terminal value at time Tk u = cost of capital for a fully equity-financed property

k i = pre-tax cost of debt = tax rate

The advantage of equation (1) above the standard DCF formu


9/32

As the focus of this paper is the valuation of an institutional porcompute the present value of a property. This requires that thethat enter into the formula be modelled: (1) the annual free cashperiod, (2) the terminal value at the end of the forecasting periFor the sake of simplicity we will use the same model regardlessentirely residential or whether some fraction of the property is institutional investors predominantly purchase residential properfor approximately 85% of their real estate holdings.

2.1 Free cash flows (FCF)

For tax-exempt investors, the free cash flow to property for yeart can by

t t t t t CAPEX C )PGI ?FCF = 1(

where t = vacancy rate in yeart

PGI t = potential gross income in yeart C

t = operating cash expenses in yeart

CAPEX t = additional investment (ie capital expenses) in yt

Rents are the major source of cash inflows and they depend on characteristics of the properties, but also on various legal consincome (PGI) for the first year (Year 1) is assumed to be knownof the property (apartments, underground garages, shops, etc.)growth of the PGI over time is normally distributed. The choicedeviation of the growth rate is crucial. Growth will depend nf h d GDP h d i fl i d


10/32

procedure that is as objective as possible. In this paper, we usfuture growth rates.

The level of the cash inflow is also a function of a specific typeinvestment, ie the vacancy rate (). We will assume that the latterbetween the historical minimum and maximum vacancy ratesmultiplying the PGI by (1-?), we obtain the rent or total rent, ie tis expected from renting out the property. For the sake of simconsider the rate of unpaid rent (ie tenants who do not pay theirPGI is net of unpaid rent.

Cash outflows include operating expenses, property taxes, insurlargely fixed, ie they will occur whether the property is or is notcomponent of these expenses is largely dependent on the age of tmodel the uncertain part of these expenses as a function of bothand professional expertise can help determine the level of apercentage of rents and be useful in creating a model to estisufficient data were available, one could also model the leveincluding other independent variables, such as the building quimprovements.

Additional investments have to be forecasted to maintain or toproperties, or in some cases to increase their size. The amoushould be those that are forecasted by the owner, preferably withhas received a clear mandate to estimate the future investments rabove In some countries or cities due to legal restrictions to


11/32

to forecast future cash flows, we will use the arithmetic mean of three years to proxy for the normalized free cash to property offor the cost of capital, the perpetual rate of growth is highly relaresidual life of a building is limited, however, such that the rate become negative. Consequently, in countries where inflation is or even set equal to zero. If not, the resulting estimated tconsidering the level of PGI at the end of the forecasted period. it is possible, and in some cases preferable, to estimate the termincome multiplier that prevails under normal market conditions.

We calculate the terminal value as4:

gk g

FCF FCF FCF

gk FCF

TV u

T T T

u

T T

+++

=

=

+ )1(3)( 21

1

whereFCF T+1 = free cash flow of period T+1k u = discount rate

g = perpetual growth rate of the free cash flows

2.3 Discount rate

To forecast the expected return on real estate, we assume that theand dependent on market interest rates. We first assume that

equity-financed property is higher than the risk free interest robserved on the market, but lower than the historical return of inequality is assumed to hold:

ir < k u < k s


12/32

We then compute the discount rate, ku, as the sum of the interest rateis required by investors. Thus:

ir


13/32

In the CIR model, there exists a linear relationship between thshort rates,r t . This relationship is as follows:

R(t,T) =A(t,T) + B(t,T)r t

where

( )( )

( ) ( )( )

222

212),(

b

t T

t T

ee

T t A ++=

+

( )

( )( ) ( )( )

2112),( ++ =

t T

t T

eeT t B

r t = short-term interest rate at timet 22 2 +=

2.3.2 The premium

The risk premium,P , that investors require is assumed to vary betwbe always positive6. The size of this premium varies across counon the characteristics of properties as proxied by selected hedocan therefore be divided into two parts:

P = p 1 + p 2

The first component, p1, stems from the participation in the real ecomponent, p2, is a function of property characteristics such as thequality and the age of the property. To compute the p2 premium, we rating system whose quality will depend on the set of qualitativ

hedonic characteristics are available, as is the case in this resealevel of p2 will most likely vary across regions. From a theoreticis thus close in spirit to an Arbitrage Pricing Theory (APT) set usources of risk are priced.


14/32

than 40 years (grade of 4). We then assume that the quality location are more valuable features for an investor than the agassign a 40% weight to each of the first two characteristics and assign 100 points for a grade of 1; 75 points for a grade of 2; 50 points for a grade of 4. The total number of points (TP) is given

TP = w(building quality)*P(building quality) + w(location)*P(location) +

w(age)*P(age)

wherew is the weight andP the number of points.

The value of p2 is then calculated as: p2 = (100 - TP) / 100

To illustrate, consider a building of high quality (grade of 1), wi(grade of 3) and constructed 18 years ago (grade of 3). Therefo+ 20%*25 = 65 points. Then, the premium p2 would be equal to (10contrast, the p2 premium for a luxurious new building with an excAlthough this system is somewhat arbitrary, it makes sense and approach. As a general rule, high quality properties are likely totenants and are viewed as less risky by investors (Gunnelinet al. , 2004).

2.4 Correlations and other considerations

In addition to being uncertain, the variables used in the valuatioindependent from each other. For example, rents and property pthat we should take into consideration their co-movements whenHistorical data on the evolution of property prices and rents shou


15/32

In many countries, rent adjustments are possible to compensatethough we observe that the adjustments for interest increasesystematic than adjustments for interest decreases. However, adjustment beyond certain limits, rent adjustments are constrainal ., 2005). The same is often true when major capital expenditcannot be increased for the return on the invested capital to rema

In summary, we perform the following steps to run the Monteestimate the free cash flows by means of equation (3) and calcufuture free cash flows using a probability density function for efree cash flow; (2) we calculate a term structure of interest rates and (12); (3) we compute the premium P = p1+ p2 and add it to the ratand (4) we estimate the terminal value using equation (4). Thpoint estimated value. The procedure is then repeated 50,000 tipossible property values.

3. Data

We apply our valuation methodology to the real estate portfinstitutional investor. The portfolio contains 30 properties with

excess of CHF 237 million (Euros 160 million) as of the end of are residential buildings, but some also contain office or retail uforecasting period is set at ten years. We provide the detailed coand well constructed building which has a good location (Build


16/32

Statistical data available in Switzerland concerning rent levels anot very useful for our study, as there is only one global index fowe rely on real estate price indices, which are calculated for variproxy for the mean and standard deviation of rental growth. Byconcerning the Geneva area for the period 1971-2004, for both oseveral property uses. Table II contains summary statistics for Geneva. All data, computed by Wuest & Partners, are obtained fof Statistics. New residential buildings exhibit higher return anbuildings, and commercial properties appear to command lower than residential properties. The volatility of workshop returns is

Vacancy rates (Table III), calculated by the Swiss National Bankbut unfortunately only at the national level. They were low duritypical of the Swiss residential real estate market. More refinhighlight differences between rural areas and urban agglomeratioBasel.

Cash operating expenses are set as a percentage of gross potentidata taken from the real estate portfolio which is used for the epaper, as well as on estimates that were provided by professionathe Geneva area. The fixed component is set at 10% of rents. This between 5-20% of rents, is related to age in the following m

older than 40 years, 10-15% for buildings between 10 and 4buildings less than 10 years old. These cut-offs are obviously sothey show that operating expenses and therefore operating cash fof the buildings Operating expenses are assumed to follow a t


17/32

We use 6-month Eurofranc rates for the 1974-2004 period to aSwiss Market Equity Index at the end of each quarter to determirisk premium (P ). Both sets of data are taken from DatastreaDatastream Market Index, which is a capital weighted index whon the Swiss exchange (SWX), exhibited strong returns during treturn of approximately 10%. The average interest rate was period (the rate in table III is an annualised rate).

The premiumP is assumed to vary between 0 and 2.5%. The firstto vary between 0 and 1.5%. We opt for a truncated normal 0.075%, a standard deviation of 1%, a minimum of 0% and a macomponent ( p2), which is a function of the hedonic characteribetween 0-1%. For each property, we compute p2 according to the psection 2.

The central value of the 0-2.5% range is consistent with the preinvestments by pension funds in Geneva. It is worthwhile to digpremium to examine its relation with historical risk premia in Slevel (anda fortiori at the market level), the premiumP will be compri

p 2 in line with the portfolio attributes. As buildings in a porexcellent quality and located in excellent areas, the average va p0.75% range. If we consider the average of the 0-1.5% range f p 1 (ie

risk premium is approximately 1.25-1.5%. A comparison of threturn on real estate at the national level net of the interest ratcheck of our assumptions. Hoesli and Hamelink (2004) find thyielded an average return of 5 3% for the period 1979-2002


18/32

4. Results

In this section, we present our results both for the portfolio of 3Edelweiss. The starting point for any valuation using our mstructure of interest rates. Using conditional maximum likelihoomonth Eurofranc interest rates to compute the various paramete

the results that appear in Table IV. These parameters (pullbackinstantaneous standard deviation) are significantly different fromobtained by Bruand (1998) for the period 1975-1995. We do these parameters for sub-periods as this would be beyond the obcalculate the term structure of interest rates with the help of equ

(see Figure I). As the initial interest rate is very low (less than 1term rate is 4% (b parameter in Table IV), the term structure is upw

To each estimated interest rate we add the risk premium, P= p1+ p 2. As is assumed to follow a truncated normal distribution with a

deviation of 1%, a minimum of 0 and a maximum of 1.5%. The for building Edelweiss is obtained as follows: as the buildin(grade of 2), is of excellent quality (grade of 1) and is older thassign 40%*100 + 40%*75 + 20%*25 = 75 points to the buildequal to (100-75)/100 = 0.25%.

Knowing the discount rates and all components of the free cash (50,000 iterations) and obtain for each building the distributinterpretation of the distribution of present values is straightfor


19/32

The importance of the shape and of the range of possible outcoobjectives of the persons using the real estate valuations. Banksbe more interested by the whole range of present values ondistribution to analyse the likelihood that the value of the builthreshold. Knowing this likelihood should help them set the inteIn contrast, the borrower may be more inclined not to argue withe whole range of values to the left of the mean value, but rathof the range of values as it is unlikely that the market value drastically over some given time horizon. The same behaviour mof a property or a real estate portfolio manager. In this respect, (VaR) would be useful as it would provide an estimate of the mhorizons (see Baroniet al. , 2001).

The same analysis is performed for all 30 properties in our sasimulation results for each property. As all properties are ownenot possible to disclose the value of the properties, but rastandardised and statistics are given in percentage terms. The

deviation of the present value distribution for each buildingdifference between the estimated hedonic value and the value The distribution standard deviations vary somewhat across bui(building #18) and a high of 14.53% (Building #21). This is nowe use are not the same for all properties. Some properties are

lower mean and standard deviations in the growth rates. Also, tis not the same across buildings (last column of Table V), and traditionally more volatile than residential real estate, the standawillceteris paribus be positively related with the weight of comm


20/32

many cases be less than market rents as rents charged to imperfectly to market rents. Second, our estimated discountrending rates and as such should yield more conservative val(historically very low) rates were to be used.

In a next step, we perform a sensitivity analysis to gauge the imchanges in input parameters for building Edelweiss (Tabparameters, we examine the impact of a 25% decrease and 25%initial values. These include the initial interest rate, the voequilibrium in the CIR model, both components of the risk prem and standard deviation of the potential gross income and the terinstance, if the initial interest rate in the CIR model is 0.8%, theanalysis using values of 0.8%*1.25 = 1% and 0.8%*0.75= 0.6%,

The sensitivity analysis results show that a change in the longstrong impact on the estimated value due to the impact on the dthe long-term rate in the CIR model decreases to 3% (a decrease

of 4%), this translates into an increase to CHF 7 million of thbuilding (CHF 5.7 million in the original simulation). The compinterest rates also have an important impact on the present valuelong-term equilibrium rate.

The estimated growth rate of the terminal value also has a substavalues. Recall that in our base scenario we adopted a zero growtthe horizon period. When we drop this hypothesis, and distributions for the growth rate we obtain insightful resu


21/32

Interestingly, our present values appear to be less sensitive to cheven less so to changes in the potential gross income rate of grow

5. Conclusions

The discounted cash flow method is now widely used as a vaproducing real estate in many countries. In fact, it is generalyields a fair value estimate in the spirit of the new accountancvery useful indeed, but does suffer from some limitations. Thesvalue of the property is needed to compute the discount rate, (2)to be constant during the entire holding period, and (3) uncertainaccount.

The main contribution of this paper is in incorporating uncertaiThis is achieved by using the distributions of the various input estimates as is customary in DCF valuations. We also deal with

the DCF approach in that we develop a method to estimate the require prior knowledge of a propertys value, and use a timedistributions of the parameters are constructed using various datareal estate markets, and the empirical analysis is performed usin30 properties located in Geneva.

Our results show that the estimated values are on average 6.7%would be expected in the current environment. As our discomean-reversion component they will overshoot market interest


22/32

The appeal of incorporating uncertainty in the valuation processmerely yield a point estimate of the entire distribution of valuesvalues. Hence, the probability of the true value of a propethresholds can be ascertained. This should certainly prove useRoyal Institution of Chartered Surveyors (RICS), for instance,uncertainty can be used together with the value estimate, whichuncertainty for the valuation profession. Also, there has been about valuation variation and the margin of error in valuing prCrosbyet al. , 1998). The approach which is advocated in thiscontribution to this debate.

As is the case of all techniques, the quality of the outputs fromlargely depends on the quality of the inputs (Li, 2000). With tshould focus on the stability of the model that we use when othdifferent periods of the real estate cycle. In particular, when thbearish again, it will be of interest to compare estimated valuestimates generated using other valuation methods. Also, fu

property attributes should be considered when constructingpremium and of how these mostly qualitative attributes shouldFinally, it would seem fruitful to dig deeper in the relation beproperty values. This could suggest optimal time windows foduring the life cycle of buildings. In doing so, a better understan

capital expenses and various other variables should emerge.


23/32

Table I. Building and financial characteristics and parameter probabilitEdelweiss

2 rooms 3 rooms Number of flats 6 2 Total number of rooms 12 6 Price per room CHF 4,500City GenevaAge >50 years

Quality of location GoodBuilding quality Excellent

Residential Use

Distribution ParametersRental growth rate Normal Historical mean and vol

returns on residential buildiVacancy rate Uniform Historical minimum and Switzerland

Operating expenses Triangular Minimum 15% of rentsvalue 23%

Rent rise when major CAPEX Triangular Minimum 0, maximumRent rise when minor CAPEX Triangular Minimum 0, maximum

Commercial Use

Potential Gross Income(annual)

CHF 150,000

Distribution ParametersCommercial rental growth rate Normal Historical mean and vo

returns on commercial buildVacancy rate Uniform Minimum of 4% and maxOperating expenses Triangular Minimum 15% of rents

value 23%Rent rise when major CAPEX Triangular Minimum 0, maximum


24/32

Table II. Descriptive data for real estate capital returns in Geneva, 1971

Mean Std Min Max Panel A. Residential

Old buildings 0.032 0.086 -0.115 0.22 New buildings 0.048 0.094 -0.086 0.272

Panel B. Commercial

Offices 0.023 0.096 -0.193 0.352 Workshops 0.028 0.209 -0.718 0.534Retail 0.016 0.096 -0.147 0.293

Table III. Descriptive statistics for the vacancy rate, 6-month EurofranMarket Index for Switzerland, for the period 1974-2004 (1975-2004 fofrequencies

Data type Frequency Mean Std Min

Vacancy rate Yearly 0.010 0.005 0.004 6-month Eurofranc rate Monthly 0.031 0.006 0.013

DS stock returns Quarterly 0.025 0.112 -0.420

Table IV. Conditional maximum likelihood estimation for interest rates

Frequency Log L a b s N

Monthly 841 0.480 0.040 0.021 372(2.89) (4.18) (9.51)

Note: a is the pullback, b is the long term equilibrium and s the instantaneous standard deviation, t-stats in par


25/32

Table V. Standard deviation of present values, percentage difference wuses (portfolio of 30 properties)

Building #Std deviation of

PV (%)Hedonic/Mean of Present Value (%)

Residential(%) C

1 11.36 4.37 62 2 11.12 11.23 76 3 9.94 17.12 100 4 10.51 2.06 94 5 10.15 7.94 99 6 10.33 -5.81 98 7 11.18 -3.44 76 8 10.88 15.33 86 9 9.94 -7.15 100

10 11.00 6.15 85 11 9.94 -18.08 100

12 10.57 11.22 92 13 11.06 22.41 78 14 10.45 -6.75 95 15 11.53 9.26 61 16 11.30 3.34 67 17 11.24 10.67 73 18 9.91 7.54 100 19 10.27 6.70 98

20 10.70 6.57 87 21 14.53 20.29 5 22 10.39 7.14 97 23 10.94 4.70 85 24 11.66 11.04 61 25 10.63 12.71 87 26 13.37 -5.49 41 27 10.21 0.77 99 28 10.76 5.18 86 29 10.09 13.81 99 30 10.82 13.01 86

All properties 7.15


26/32


27/32

Figure I. Term structure of interest rates

Term structure

0

0.005

0.01

0.015

0.02

0.025

0.03

0.035

0.04

0.045

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Time

I n t

e r e s

t r a

t e

Interest r

Long ter

Figure II. Distribution of the present value for building Edelwei

Mean = 5672066

X


28/32

References

Achour-Fischer, D. (1999), Is there a Myers way to value incoCurtin Business School, Perth.

Adair, A., Hutchison, N., MacGregor, B., McGreal, S. and Nananalysis of valuation variation in the UK commercial proprevisited, Journal of Property Valuation and Investment, V

Aziz, N., Bender, A. and Hoesli, M. (2005), Evaluation immobicomptable suisse, Vol. 79 No. 5, pp. 345-355.

Baroni, M., Barthlmy, F. and Mokrane, M. (2001), Volatilitand the use of option pricing models in real estate, Worki

Bruand, M. (1998), Pricing and hedging caps on the Swiss InJournal of Fixed Income, Vol. 7 No. 4, pp. 94-111.

Clayton, J. (1996), Market fundamentals, risk and the Canadianfor property valuation and investment decisions, The JouVol. 12 No. 3, pp. 347-367.

Cox, C.J., Ingersoll, J.E. and Ross, S.A. (1985), A theory of trates, Econometrica, Vol. 53 No. 2, pp. 385-407.

Crosby, N., Lavers, A. and Murdoch, J. (1998), Property valuatof error in the UK, Journal of Property Research, Vol. 15

Damodaran, A. (2002), Investment Valuation: Tools and TechValue of Any Asset, Wiley, New York.

Dixit, A. and Pindyck, R. (1994), Investment Under UncertaintyPrinceton, NJ.Fama, E. and French, K. (1989), Business conditions and exp

bonds, Journal of Financial Economics, Vol. 25 No. 1, ppFernandez, P. (forthcoming 2005), Equivalence of ten diff

companies by cash flow discounting, International JournaFerson, W. and Campbell, R.H. (1991), The variation of econo

of Political Economy, Vol. 99 No. 2, pp. 385-415.Fishman, G.S. (1999), Monte Carlo: Concepts, Algorithms, and in operations research, Springer-Verlag, New York.

French, N. and Gabrielli, L. (2004), The uncertainty of valuInvestment & Finance, Vol. 22 No. 6, pp. 484-500.


29/32

Kelliher, C.F. and Mahoney, L.S. (2000), Using Monte Carlo term investment decisions, The Appraisal Journal, Vol. 6

Li, H.L. (2000), Simple computer applications improve the vflow analysis, The Appraisal Journal, Vol. 68 No. 1, pp. 8Lizieri, C. and Ward, C. (2000), The distribution of real estat

Satchell, S. (Eds.), Return Distributions in Finance, Buttepp. 47-74.

Mallison, M. and French, N. (2000), Uncertainty in property vaInvestment & Finance, Vol. 18 No. 1, pp. 13-32.

Mollart, R.G. (1988), Monte Carlo simulation using LOTUSValuation, Vol. 6 No. 4, pp. 419-433.Mun, J. (2002), Real Options Analysis: Tools and Techniques

Investments and Decisions, Wiley Finance, New York.Myers, S. (1974), Interactions in corporate financing an

Implications for capital budgeting, Journal of Finance, VoPellat, P.G.K. (1972), The analysis of real estate investments u

Finance, Vol. 27 No. 2, pp. 459-471. Pyhrr, S.A. (1973), A computer simulation model to measure riJournal of the American Real Estate and Urban Economicpp. 48-78.

Tucker, W.F. (2001), A real estate portfolio optimizer utilizingMarkowitz mean-variance optimization and Monte-Carlo John Hopkins University, Maryland.

Weeks, S. (2003), The devaluation of capital budgeting in reaPoint of view, Journal of Real Estate Portfolio Managem268.

Wofford, L.E. (1978), A simulation approach to the appraisaestate, Journal of the American Real Estate and Urban EcNo. 4, pp. 370-394.


30/32

Th e FAME Rese ar ch Pap er Ser iesThe International Center for Financial Asset Management and Engineering (FAME) is a private fin 1996 on the initiative of 21 leading partners of the finance and technology communiUniversities of the Lake Geneva Region (Switzerland). FAME is about Research, Doctor

Education with interfacing activities such as the FAME lectures, the Research Day/Annua Research Paper Series.

The FAME Research Paper Series includes three types of contributions: First, it reports on that FAME by students and research fellows; second, it includes research work contributed by Sw

practitioners interested in a wider dissemination of their ideas, in practitioners' circles in prominent international contributions of particular interest to our constituency are included onPapers with strong practical implications are preceded by an Executive Summary, explaining in nthe question asked, discussing its relevance and outlining the answer provided.

Martin Hoesli is acting Head of the Research Paper Series. Please email any comments or queriaddress: [email protected] .

The following is a list of the 10 most recent FAME Research Papers. For a complete list, please www.fame.ch under the heading Faculty and Research, Research Paper Series, Complete List.

N147 Equity and Neutrality in Housing Taxation

Philippe Thalmann, Ecole Polytechnique Fdrale de LausanneN146 Order Submission Strategies and Information: Empirical Evidence from NYSE

Alessandro Beber, HEC Lausanne and FAME; Cecilia Caglio, U.S. Securit

N145 Kernel Based Goodness-of-Fit Tests for Copulas with Fixed Smoothing ParametersOlivier SCAILLET, HEC Geneva and FAME

N144 Multivariate wavelet-based shape preserving estimation for dependent observationsAntonio COSMA, Instituto di Finanza, University of Lugano, Lugano, OlivFAME, Geneva, Rainier von SACHS, Institut de statistique, Universit cath

N143 A Kolmogorov-Smirnov type test for shortfall dominance against parametric alternativesMichel DENUIT, Universit de Louvain, Anne-Ccile GODERNIAUX, HaSCAILLET, HEC, University of Geneva and FAME

N142 Times-to-Default: Life Cycle, Global and Industry Cycle ImpactsFabien COUDREC, University of Geneva and FAME, Olivier RENAULT,

N141 Understanding Default Risk Through Nonparametric Intensity EstimationFabien COUDREC, University of Geneva and FAME

N140 Robust Mean-Variance Portfolio Selection


31/32

International Center FAME - Partner Institutions

The University of Geneva The University of Geneva, originally known as the Academy of Geneva, was foundedCalvin and Theodore de Beze. In 1873, The Academy of Geneva became the University ocreation of a medical school. The Faculty of Economic and Social Sciences was creauniversity is now composed of seven faculties of science; medicine; arts; law; economic an

psychology; education, and theology. It also includes a school of translation and interpretof architecture; seven interdisciplinary centers and six associated institutes.

More than 13000 students, the majority being foreigners, are enrolled in the various plicence to high-level doctorates. A staff of more than 2500 persons (professors, lecturersdedicated to the transmission and advancement of scientific knowledge through teafundamental and applied research. The University of Geneva has been able to preserve the tradition of an academic community located in the heart of the city. This favors not only instudents, but also their integration in the population and in their participation of the particuand cultural life. http://www.unige.ch

The University of LausanneFounded as an academy in 1537, the University of Lausanne (UNIL) is a modern inseducation and advanced research. Together with the neighboring Federal Polytechnic Instit comprises vast facilities and extends its influence beyond the city and the canton into rand international spheres.

Lausanne is a comprehensive university composed of seven Schools and Faculties: religarts; social and political sciences; business; science and medicine. With its 9000 studentsized institution able to foster contact between students and professors as well interdisciplinary work. The five humanities faculties and the science faculty are situatedLake Leman in the Dorigny plains, a magnificent area of forest and fields that may landscape depicted in Brueghel the Elder's masterpiece, the Harvesters. The institutes and the School of Medicine are grouped around the hospitals in the center of LausanneBiochemistry is located in Epalinges, in the northern hills overlooking the city. http

The Graduate Institute of International StudiesThe Graduate Institute of International Studies is a teaching and research institution devotinternational relations at the graduate level. It was founded in 1927 by Professor Wcontribute through scholarships to the experience of international co-operation which thethe League of Nations in Geneva represented at that time. The Institute is a self-goveclosely connected with, but independent of, the University of Geneva.


32/32

THE GRADUATE INSTITUTE OFINTERNATIONAL STUDIES

40, Bd. du Pont dArvePO Box, 1211 Geneva 4

SwitzerlandTel (++4122) 312 09 61Fax (++4122) 312 10 26

http: //www.fame.chE-mail: [email protected]

Monte Carlo Simulations for Real Estate Valuation

Documents

Transcript of Monte Carlo Simulations for Real Estate Valuation