MidSem Exam Answers

5. You have been hired as a portfolio manager for a fancy hedge fund. Your first job is to invest $100,000 in a portfolio of two assets. The first asset is a safe asset with a certain return of 5%. The second asset is shares of a dying video-game store that has become popular with retail investors, it has a 20% expected rate of return, but the standard deviation of this return is 10%. Your manager wants a portfolio with as high a rate of return as possible while keeping the standard deviation at or below 4%. How much of the fund's money do you invest in the safe asset?

What is the expected return from an investment if there is a 20 percent chance of a 4 percent return, a 40 percent chance of a 8 percent return, and a 40 percent chance of a 12 percent return

How would you describe the relationship between a risky investment and the return on that investment (think stocks or retirement accounts)? a casual or limited relationship there is no relationship between the level of risk and the return you get on your investment a direct or positively correlated relationship an inverse or negatively correlated relationship

Please answer correctly Only typed answer

What is the relationship between risk and return? What is the significance of this relationship for the investor?

Question 3 Suppose you hold a diversified portfolio consisting of a $7,500 investment in each of 20 different common stocks. The portfolio beta is equal to 1.12. Now, suppose you have decided to sell one of the stocks in your portfolio with a beta equal to 1.0 for 7,500 and to use these proceeds to buy another stocks for your portfolio. Assume the new stock's beta to 1.75. Calculate your portfolio's new beta.

5. Suppose Alex and Spenser each invest $5,000 in the same stock. Alex invests directly and earns 5% a year. Spenser uses a retirement fund, which charges an administrative fee equal to 0.25% on managed assets, and earns 4.75%.a) At the end of one year, how much will Alex and Spenser have?b) If Alex and Spenser leave their investments in place for 30 years, with annual compounding ofthe interest, how much more will Alex have than Spenser at the end of the 30-year period?

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8. Risk and return Suppose Valerie is choosing how to allocate her portfolio between two asset classes: risk-free government bonds and a risky group of diversified stocks. The following table shows the risk and return associated with different combinations of stocks and bonds. Fraction of Portfolio in Diversified Average Annual Standard Deviation of Portfolio Return Stocks Return (Risk) Combination (Percent) (Percent) (Percent) 1.00 B 25 2.00 5. 50 3.00 10 75 4.00 15 100 5.00 20 If Valerie reduces her portfolio's exposure to risk by opting for a smaller share of stocks, she must also accept a average annual return. Suppose Valerie currently allocates 25% of her portfollo to a diversined group of stocks and 75% of her portfolio to risk-free bonds; that is, she chooses combination B. She wants to increase the average annual return on her portfolio from 2% to 4%. In order to do so, she must do which of the following? Check all that apply. O Sell some of her stocks and place the proceeds…

The table uses the standard deviation of the portfolio's return as a measure of risk. A normal random variable, such as a portfolio's return, stays within two standard deviations of its average approximately 95% of the time. Suppose Valerie modifies her portfolio to contain 75% diversified stocks and 25% risk-free government bonds; that is, she chooses combination D. The average annual return for this type of portfolio is 13%, but given the standard deviation of 15%, the returns will typically (about 95% of the time) vary from a gain of to a loss of

Emily and Joel Schumaker 1.Emily and Joel Schumaker are married clients who have just been approved for a twenty-year, $150,000 mortgage. They have been given a choice of two loans. One loan has an annual percentage rate (APR) of 8 percent and does not carry a fee, and the other has an APR of 7.5 percent but carries a discount fee of 2 percent of the initial loan amount. The fee for the second mortgage is payable in cash at loan inception and cannot be financed with the loan. From a present value cost perspective, which loan is the better deal, assuming (a) they sell their home immediately after making ten years’ worth of payments and (b) they require a 9 percent effective annual rate of return? Stated another way, which option has the lower cost? When conducting the analysis, assume all required payments are made at the end of each month and that interest is compounded monthly. Remember to consider the difference in loan payment, the difference in remaining balance at the time of…

53. Car rental patterns A car rental agency in a major city has a total of 2200 cars that it rents from three loca- tions: Metropolis Airport, downtown, and the smaller City Airport. Some weekly rental and return pat- terns are shown in the table (note that Airport means Metropolis Airport). Rented from Returned to АР DT CA Airport (AP) Downtown (DT) 90% 10% 10% 5% 80% 5% At the beginning of a week, how many cars should be at each location so that same number of cars will be there at the end of the week (and hence at the start of the next week)? 54. Nutrition A psychologist studying the effects of nutrition on the behavior of laboratory rats is feeding one group a combination of three foods: I, II, and III. Each of these foods contains three additives, A, B, and C, that are being used in the study. Each additive is a certain percentage of each of the foods as follows: Foods II II Additive A 10% 30% 60% Additive B Additive C 0% 4% 5% 2% 2% 12% If the diet requires 53 g per day of A, 4.5…

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11. Case study a. Let's say your friend offer simple investment. You are planning to buy an asset for RM 3350. This investment is very safe. You would sell off the asset in three years for RM 400. You know you could invest RM 335 elsewhere at 10 percent with very little risk. What do you think of the proposed investment?

11. A zero coupon bond is selling for $476. The bond has a face value of $1,000 and matures in 8 years. Your friend asks you if he should buy the bond. He tells you his required return is 9 percent. Would you recommend he buy the bond or not? Explain your answer.

Suppose Amy is choosing how to allocate her portfolio between two asset classes: risk-free government bonds and a risky group of diversified stocks. The following table shows the risk and return associated with different combinations of stocks and bonds. Fraction of Portfolio in Diversified Standard Deviation of Portfolio Return Average Annual Return Stocks (Risk) (Percent) Combination (Percent) (Percent) A 0 1.50 0 B 25 3.50 5 с 50 5.50 10 D 75 7.50 15 E 100 9.50 20 If Amy reduces her portfolio's exposure to risk by opting for a smaller share of stocks, he must also accept a average annual return. Higher/Lower Suppose Amy currently allocates 25% of her portfolio to a diversified group of stocks and 75% of her portfolio to risk-free bonds; that is, she chooses combination B. She wants to increase the average annual return on her portfolio from 3.5% to 7.5%. In order to do so, she must do which of the following? Check all that apply. Sell some of her stocks and place the proceeds in a…

D&R A3 6-1 Question 6. VAR Calculation A firm has a portfolio composed of stock A and B with normally distributed returns. Stock A has an annual expected return of 15% and annual volatility of 20%. The firm has a position of $100 million in stock A. Stock B has an annual expected return of 25% and an annual volatility of 30% as well. The firm has a position of $50 million in stock B. The correlation coefficient between the returns of these two stocks is 0.3.   What is the 5% daily VAR for the portfolio? Assume 365 days per year.

D&R A3 6-1 Question 6. VAR Calculation A firm has a portfolio composed of stock A and B with normally distributed returns. Stock A has an annual expected return of 15% and annual volatility of 20%. The firm has a position of $100 million in stock A. Stock B has an annual expected return of 25% and an annual volatility of 30% as well. The firm has a position of $50 million in stock B. The correlation coefficient between the returns of these two stocks is 0.3. Compute the 5% annual VAR for the portfolio. Interpret the resulting VAR.

D&R A3 6-3 Question 6. VAR Calculation A firm has a portfolio composed of stock A and B with normally distributed returns. Stock A has an annual expected return of 15% and annual volatility of 20%. The firm has a position of $100 million in stock A. Stock B has an annual expected return of 25% and an annual volatility of 30% as well. The firm has a position of $50 million in stock B. The correlation coefficient between the returns of these two stocks is 0.3. If the firm sells $10 million of stock A and buys $10 million of stock B, by how much does the 5% annual VAR change?

1. Sally is evaluating two portfolios which consist of four assets but with different proportions. She is interested in using beta to compare the risk of the portfolio. Given below is the information on each of the portfolios: Portfolio Weights (%) Portfolio Weights (%) Asset Asset Beta Portfolio X Portfolio Y 1 1.20 15 25 2 0.95 20 20 3 0.70 40 25 4 1.30 25 30 Total 100 100 (a) Calculate the betas for portfolios X and Y. (6) (b) Compare the risk of each portfolio to the market portfolio as well as to each other. Assume the market beta is 1.0. (4) (c) Determine which portfolio is riskier. Explain. (4) (d) Calculate the required return for each portfolio based on the capital asset pricing model (CAPM), assuming the risk-free rate is 2% and the market return is 9%. (6) (Total / Jumlah: 20)

Explain the implication of conservatism considering that majority of investors are emotional.