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Entrepreneurial Finance

Entrepreneurial Finance

6th Edition

ISBN:9781337635653

Author:Leach

Publisher:Leach

Chapter9: Projecting Financial Statements

Section: Chapter Questions

Problem 11DQ

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You are given the following information for two funds A and B, relating to their performance
over the last five years.
A
B
Market
Risk-free Investment
Cumulative Total
Return
Covariance of
Standard deviation
Return
over 5 Years
of Return
with Market
76.20%
0.22
0.044
101.10%
0.32
0.075
92.50%
0.25
40.30%
Calculate the Treynor, Sharpe and Jensen performance measures for Funds A and B. What do
they tell you about the performance of the funds?

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An investor is evaluating the historical performance of an investment fund. The following annual returns are provided to the investor: Fund Value Year 0 $260 Year 1 286 Year 2 328 Year 3 315 Year 4 310 Year 5 305 Required: a. Calculate the investment returns for each year. b. Compute the arithmetic mean return. c. Calculate the geometric mean return.
The following data is reported for a fund and an appropriate benchmark as well as the risk-free rate each year: Fund Return Benchmark Return Risk-free rate Year 1 22% 19% 2% Year 2 23% 20% 2% Year 3 25% 22% 2% Year 4 28% 23% 2% Year 5 28% 22% 2% Year 6 29% 22% 2% Year 7 20% 18% 2% Year 8 18% 16% 2% Year 9 15% 13% 2% Year 10 13% 12% 2% Do not round intermidete calucations Required: a. What is the Sharpe ratio for the fund and the benchmark? b. What is the Treynor ratio for the fund and the benchmark? c. What is the fund tracking error? d. What is the beta for the fund? e. What is Jensen’s alpha for the fund?
The following data is reported for a fund and an appropriate benchmark as well as the risk-free rate each year: Fund Return Benchmark Return Risk-free rate Year 1 22% 19% 2% Year 2 23% 20% 2% Year 3 25% 22% 2% Year 4 28% 23% 2% Year 5 28% 22% 2% Year 6 29% 22% 2% Year 7 20% 18% 2% Year 8 18% 16% 2% Year 9 15% 13% 2% Year 10 13% 12% 2% Required: a. What is the Sharpe ratio for the fund and the benchmark? b. What is the Treynor ratio for the fund and the benchmark? c. What is the fund tracking error? d. What is the beta for the fund? e. What is Jensen’s alpha for the fund?
● Following results were obtained for the period of six months ending September 2022. Birla Sundaram Sun Nifty Rf Rp 25.38 36.28 45.56 36.74 9.00 Sigma 4.0 6.86 4.31 3.69 Beta 0.23 0.52 0.63 1.00 Using inputs, rank the funds according to the predictive ability of the fund's manager.
The following data is reported for a fund and an appropriate benchmark as well as the risk-free rate each year: Fund Return Benchmark Return Risk-free rate Year 1 15% 12% 2% Year 2 15% 12% 2% Year 3 16% 13% 2% Year 4 19% 14% 2% Year 5 20% 14% 2% Year 6 22% 15% 2% Year 7 26% 24% 2% Year 8 24% 22% 2% Year 9 21% 19% 2% Year 10 19% 18% 2% Required: a. What is the Sharpe ratio for the fund and the benchmark? Asnwer is not Fund: 4.77 and Benchmark: 3.37 b. What is the Treynor ratio for the fund and the benchmark? Answer is: Fund: 22.79 Benchmark: 14.30 c. What is the fund tracking error? Asnwer is Not 1.71
The average return, standard deviation, and beta for Fund A is given below along with data for the S&P 500 Index. Fund Average Return Standard Deviation Beta A 14% 28.5% 1.7 S&P 500 17.6% 19.4% 1 Risk-free 4.8% Calculate the Treynor measure of performance for Fund A. Convert percentages to decimal places before calculating your answer. ENTER your answer using FOUR DECIMAL places. Example: 0.1234
calculate the following M-squared measureT-squared measure, andAppraisal ratio (information ratio) Fund Average return Standard Deviation Beta coefficient Unsystematic Risk A 0.240 0.220 0.800 0.017 B 0.200 0.170 0.900 0.450 C 0.290 0.380 1.200 0.074 D 0.260 0.290 1.100 0.026 E 0.180 0.400 0.900 0.121 F 0.320 0.460 1.100 0.153 G 0.250 0.190 0.700 0.120 Market 0.220 0.180 1.000 0.000 Risk free return 0.050 0.000 Out of the performance measures you calculated in part a., which one would you use undereach of the following circumstances:i. You want to select one of the funds as your risky portfolio.ii. You want to select one of the funds to be mixed with the rest of your portfolio,currently composed solely of holdings in the market-index fund.iii. You want to select one of the funds to form an actively managed stock portfolio
Investor has had the following returns in the Magic Fund for the past 4 years: 15%, 25%, -30%, 18%. c) State whether the annual geometric return (assume positive) should be higher, lower, or the same as the annual arithmetic return. Neither calculation nor explanation is necessary. d) State which measure, annual arithmetic return or annual geometric return, better represents how an investment performed over time. Neither calculation nor explanation is necessary.
The following information is provided regarding the performance of fund namely Birla Advantage, Sundaram Growth and Sun F&C Value for a period of six months ending August 2022. The Risk free rate of interest is assumed to be 9 percent. Rank them with the help of Treynor Index and discuss. Birla Sundaram Sun Rp 25.38 25.11 25.01 Sigma p 4 9.01 3.55 Beta 0.23 0.56 0.59
In a recent 5-year period, mutual fund manager Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison. Fund Market index 2 +24.6 +40.6 +11.6 +18.0 +0.4 +31.6 +10.9 -0.4 -1.3 -0.6 a. Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each. (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. Did Ms. Sauros do better or worse than the market index on these measures?
Review the table below listing performance metrics for selected assets. The metrics are defined in the same way as in CAPM Return risk beta riskless asset 4% 0% 0 Market Portfolio 9% 24% 1 Fund A 8% 33% 0.4 Fund B 11% 30% 1.5
A fund starts the year with NAV 54 per share. Over the year, the fund pays out income of 3.25 per share and capital gains distributions of 3.75 per share. Assets in the portfolio grew (shrank) by 0.01, and an expense ratio of 0.016 is charged at the end of the year. What is the rate of return on the fund? (Hint: calculate NAV1 first) O 0.0953 O 0.1110 O 0.1169 O 0.1055 0.1235

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