Let it denote the effective annual return achieved on an equityfund achieved between time (t-1) and time t.Annual log-returns on the fund, denoted by In(1+i̟²), areassumed to form a series of independent and identicallydistributed Normal random variables with parameters µ = 7%and σ = 10%.An investor has a liability of £20,000 payable at time 10.Calculate the amount of money that should be invested now sothat the probability that the investor will be unable to meet theliability as it falls due is only 5%.Express your answer to the NEAREST INTEGER and do NOTinclude a "£" sign.Note: From standard Normal tables, we have (-1.645) = 0.05.

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Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter2: Risk And Return: Part I

Section: Chapter Questions

Problem 10P

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Let i* denote the effective annual return achieved on an equity fund achieved between time (t-1) and time t. Annual log-returns on the fund, denoted by In(1+i+), are assumed to form a series of independent and identically distributed Normal random variables with parameters μ = 7% and σ=10%. An investor has a liability of £20,000 payable at time 10. Calculate the amount of money that should be invested now so that the probability that the investor will be unable to meet the liability as it falls due is only 5%. Express your answer to the NEAREST INTEGER and do NOT include a "£" sign. Note: From standard Normal tables, we have (-1.645) = 0.05.
An investment has the following cash flow profile. For each value of MARR below, what is the minimum value of X such that the investment is attractive based on an internal rate of return measure of merit? a. MARR is 12%/yr.b. MARR is 15%/yr. c. MARR is 24%/yr. d. MARR is 8%/yr. e. MARR is 0%/yr.
You plan to invest in either a mutual fund X or mutual fund Y. The following information about the annual return (%) of each of these investments under different demand levels is available, along with the probability that each of these states of nature will OCcur: Demand Probability Fund X Fund Y High 0.4 30% 25% Medium 0.4 22% 34% low 0.2 17% 25% a) Compute expected return, standard deviation for each investment and covariance of the mutual fund X and mutual fund Y. b) Would you invest in the mutual fund X or Y? Explain. c) If you chose to invest in mutual fund X and the state of nature turns up to be the low demand, what do you think about the possibility of the opportunity loss of 8% in comparison to investing in mutual fund Y?
State the return rate (in %) for your optimal portfolio.
Suppose that during the most recent 10 year period, the average annual total rate of return on the aggregate market portfolio, namely the All Ordinaries Accumulation Index, was 12 per cent, its standard deviation was 10 per cent, and the average annual risk free rate of return was 5 per cent. You are evaluating the following funds: Fund Beta A B с Average Annual Rate of Return% 12 6 8 b) c) 0.90 1.05 1.20 Standard Deviation % 5.5 10.0 7.5 a) Calculate the Jensen performance measure for each of the funds. Your method of calculation must be clear. On the basis of the Jensen measure, which fund performed the worst? For Fund A, provide an interpretation of the Jensen performance measure you calculated. Briefly explain.
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?
An investment has probabilities 0.15, 0.34, 0.44, 0.67, 0.2 and 0.15 of giving returns equal to 50%, 39%, -4%, 20%, -25%, and 42%. What are the expected returns and the standard deviations of returns?
For investment A, the probability of the return being 20.0% is 0.5, 10.0% is 0.4, and -10.0% is 0.1 Compute the standard deviation for the investment with the given information. (Round your answer to one decimal place.) a. 85.00% b. 15.00% c. 34.00% d. 17.00% e. 9.00%
An investor has an investment that has produced the following returns: Year 1: 10%, Year 2: 5%, Year 3: -7%, Year 4: -3%, Year 5: 12%. Calculate the arithmetic mean return on this investment. O 6.75 O 17.00 3.40 8.50
You manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 28%. The T-bill rate is 7%. Your client's degree of risk aversion is A = 2.0, assuming a utility function u E(r) = A0². a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y Expected return Standard deviation - % b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) % %
You are going to invest $50,000 in a portfolio consisting of assets X, Y, and Z, as follows; What is the expected return of this portfolio? Calculate the beta coefficient of the portfolio
An investor is evaluating the historical performance of an investment fund. The following annual returns are provided to the investor: Fund Value Year 0 $120 Year 1 132 Year 2 146 Year 3 133 Year 4 128 Year 5 123 Required: a. Calculate the investment returns for each year. b. Compute the arithmetic mean return. c. Calculate the geometric mean return.

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