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![Assuming your utility function U = E(r) - Ao². Consider the investments shown in
the table. If your risk aversion coefficient is -2, which investment would you choose?
Investment E[r]
#1
#2
#3
#4
#2
#3
#4
#1
12%
15%
15%
24%
σ
40%
40%
30%
40%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F848777ae-06cc-4632-9f10-c31123581434%2F07fe9623-45ac-4334-b35e-75161ff0cb3d%2Fzs6mzb_processed.jpeg&w=3840&q=75)
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- On the basis of the utility formula below, which investment would you select if you were risk averse with A = 4? Investment Expected return E(r) Standard deviation σ 1 0.12 0.30 2 0.15 0.50 3 0.21 0.16 4 0.24 0.21a. Compute the expected rate of return on investment i given the following information: the market risk premium is 5%; Rf = 6%; βi = 1.2. b. Compute E(RM).6. On the basis of the utility formula below, which investment would you select if you were risk averse with A = 4? Standard Expected return E(t) deviation Investment 0.12 0.30 0.15 0.50 0.21 0.16 0.24 0.21
- Supposing the return from an investment has the following probability distribution Return Probability R (%) 8 0.2 10 0.2 12 0.5 14 0.1 Required: What is the expected return of the investment? What is the risk as measured by the standard deviation of expected returns?1. If you perform a NPV analysis on a perspective investment using a "d" = 15% and: a. the NPV Is < 0, what can you tell me about the investment's IRR (time adjusted rate of return)? b. the NPV is > 0, what can you tell me about the investment's IRR (time adjusted rate of return)? c. the NPV is= 0, what can you tell me about the investment's IRR (time adjusted rate of return)? 2. We presume in Investment analysis that the payback method of evaluation is a better measure of.................than it is a measure of...................... We also think less of the payback method because it sometimes ignores the............., ..................of an investment since the................. the oftentimes occurs after the payback period has lapsed. 3. Please explain why we oftentimes equate EBITDA (earnings before subtracting] interest, taxes, depreciation & amortization) with NOI (net operating income) in examining business' profitability. Why don't…2. Suppose that you have a riskfree asset and N risky assets for investment. The rate of return on the riskfree asset is r,, while the (Nx1) vector of the rate of return on the N risky assets is r, which is multivariate normal, i.e., r N(u, E). Your utility function for a portfolio that consists of the riskfree asset and the N risky asset is u(r,)=r,-=o, 2 Suppose that the sum of investment proportions on the riskfree and risky assets is one. Answer the following question. A. What is your optimal investment proportion in the risky assets? How is your investment on the riskfree asset affected by different values of 2? B. Suppose that there is only one risky asset i. Show the effects of the Sharpe ratio (4,/0, ) on the investment proportion in the risky asset.
- QUESTION 4 Below are three different investment alternatives, along with information on their expected return and return standard deviation. Suppose investors have the following utility function: U = E(R) - 12 Ao² The coefficient of risk aversion (A) for Alice is 1.5, and that for John is 2.5. Which investment will each investor pick? (hint: Find the investment giving the investor the highest utility level). Investment Expected Return E[r] Standard Deviation o 0.10 0.02 0.25 0.05 0.30 0.15 0.35 0.40 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). 2 3The expected rate of return of an investment ________. a. equals one of the possible rates of return for that investment b. equals the required rate of return for the investment c. is the mean value of the probability distribution of possible returns d. is the median value of the probability distribution of possible returns e. is the mode value of the probability distribution of possible returnsSuppose you have the follow information about Intrinsic Co. and the market. What is the Beta of Intrinsic Co.? Probability 0.48 0.35 0.17 a) 1.39 Ob) 1.13 c) 1.00 d) 1.26 Intrinsic Co. Returns 15.4% 17.9% 21.5% Market Returns 9.1% 10.8% 13.5%
- 4. Suppose that there are 2 assets with ri 012 = 0.005. = 0.20, 01 = = 0.40, 2 = 0.10, 02 = 0.25 and (a) If ro = 0.02, what are the market portfolio return and variance? What are the corre- sponding weights (i.e. how much to invest in asset 1, asset 2, and the risk-free asset to get the market portfolio)? Answer. (b) If ro 0.05, what are the market portfolio return and variance? What are the corre- sponding weights? Answer.Suppose the utility function is U = E(r) - 0.5Ao2. Draw the indifference curve corresponding to a utility level of 0.2 for an investor with a risk aversion coefficient of 3. Please note the vertical line indicates expected return, and plot standard deviation on the horizontal line.Can you have an investment with DCFRR > MARR, but NPV $0 (calculating NPV with iTyM=MARR)? Can you have an investment with DCFRR < MARR, and NPV < $0 (calculating NPV with iTyM=MARR)?