A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows: Expected Return 238 Standard Deviation 298 Stock fund (S) Bond fund (B) 14 17 The correlation between the fund returns is 0.12. a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.) Portfolio invested in the stock Portfolio invested in the bond

A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows: Expected Return 238 Standard Deviation 298 Stock fund (S) Bond fund (B) 14 17 The correlation between the fund returns is 0.12. a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.) Portfolio invested in the stock Portfolio invested in the bond

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter2: Fundamental Economic Concepts

Section: Chapter Questions

Problem 6E

See similar textbooks

Similar questions

A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 20% 30% Bond fund (B) 12 15 The correlation between the fund returns is 0.10. a-1. What are the investment proportions in the minimum - variance portfolio of the two risky funds. (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.) Portfolio invested in the stock Portfolio invested in the bond a-2. What are the expected value and standard deviation of the minimum variance portfolio rate of return? (Do not round intermediate calculations. Enter your answers as percentage rounded to 2 decimals.) Expected return % Standard deviation %
A stock has a correlation with the market of .45. The standard deviation of the market is 21%, and the standard deviation of the stock is 35%. a. What is the covariance between the market and the stock? b. Calculate the stock beta.
Required information [The following information applies to the questions displayed below.] A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are: Stock fund (5) Bond fund (B) The correlation between the fund returns is 0.15. Expected Return 158 98 Required: Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. (Do not round intermediate calculations and round your final answers to 2 decimal places.) Answer is complete but not entirely correct. 15.55% 84.45 X % 9.93 X % 25.52 % Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation Standard Deviation 32% 23% 4
RISK ANALYSIS A financial investor builds a portfolio that is worth an expected £35mil. The investor knows that his analysts can build a model to boost the potential return from the portfolio investment. The additional return has a Normal Distribution with mean £3mil and standard deviation £0.5mil. The investor wishes to sell his financial services at a price that guarantees his expected profit will be 5% of the total return from the portfolio. What should the price of his financial service be? Simulate (with a min of 200 repetitions) the average and the standard deviation of the profit the financial advisor realizes when setting the price for his services between 1% and 10% of the total expected return from the portfolio. Then discuss your findings.
16. The market consists of only two assets, A and B, with normally distributed re- turns. Asset A's returns have a mean of 18% and a standard deviation of 14% and Asset B's returns have a mean of 15% and a standard deviation of 18%. In such a scenario a risk-averse investor would always want to invest all of her money in Asset A. 17. A call option offers the purchaser limited downside loss as given by the option premium paid, combined with limited upside potential. 18. The return earned on a risk free portfolio must be equal to the risk free interest rate. 19. CAPM assumes that all investors' optimal portfolio has a fraction invested in the risk-free asset and the remaining in the minimum variance portfolio. 20. For any frontier portfolio p, except the minimum variance portfolio, there exists a unique frontier portfolio with which p has zero covariance. 21. The market portfolio of all available assets is the supply of risky assets. 22. An arbitrage opportunity is an…
An investment plan allows investors to deposit a minimum of £1,000 at the beginning of the term, which pays a fixed return rate of 5% per annum. Af- ter a year, investors have to deposit a minimum of £800 with an expected return rate of 3% per annum for the second year and a standard deviation of 2% per annum. a. Find the expected value of the total minimum amount earned after two years of investment. b. Find the standard deviation of the total minimum amount earned after two years of investment.
The variance of six-monthly changes in the price of a commodity is 90.25, the variance of six-monthly changes in the futures price of the commodity is 110.25 and the coefficient of correlation between the two changes is 0.85. A company plans to buy 10,000 units of the commodity in 6 months, the size of the futures contract is on 1,000 units of the commodity and the delivery date of the contract is in 9 months. Consider the following statements. I. The optimal hedge ratio if the futures contract that is used to hedge is 0.6958. II. The hedging effectiveness of the futures contract is 0.85. II. The company should hedge by buying 7.69 futures contracts. IV. If the company hedges optimally, the difference between the variance of the unhedged position and the variance of the optimally hedged position would be 65.21. Which of the following is correct? a. Statement I, |l and IIl are incorrect, Statement IV is correct. O b. Statement I and Il are incorrect, Statement IIlI and IV are correct.…
A company has established that the relationship between the sales price for one of its products and the quanlity sokld per month is approximalely p=75-0. 1D (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $1,000 per month and the variable cost is $30 per unit produced. a. What is the maximum profit per month for this product? b. What is the range of profitable demand during a month? a. The maximum profit per month for this product is $. (Round to the nearest dollar.) b. The range of profitable demand during a month is from units to units. (Round up the lower limit and down the upper limit to the nearest whole number.)
An investor purchases a share of Synovous Bank stock this morning for $2.80. The investor believes the economy will take one of three conditions in the coming year, and each condition will have an impact on the selling price of the stock. The investor's beliefs about the economy are shown below: OUTCOME: Probability Bad for Banks Moderate for Banks Good for Banks 0.37 Submit 0.38 0.25 What is the standard deviation for Synovous returns (based on the investor's returns)? Synovous Price in One Year $2.60 $2.96 $3.46 Answer format: Percentage Round to: 2 decimal places (Example: 9.24%, % sign required. Will accept decimal format rounded to 4 decimal places (ex: 0.0924))
FIVE. Which of the following is true about standard deviation? The first step in calculating the standard deviation is calculating the square root. The second step in calculating the standard deviation is to subtract each measurement from the intermediate value and then square that difference. The last step in calculating the standard deviation is to sum the squared values and divide by the number of values minus one. Standard deviation is a type of average where the positive and negative numbers sum to zero. The amount of difference of the measurements from the central value is called the sample standard deviation.
The return on stock A is 13 if the economy is good and 01 if the economy is bad. The return on stock B is .09 ifr the economy is good and.05 if it is bad. The probability of a good economy is 50% and the probability of a bad economy is also 50%. Find the standard deviation for a portfolio invested 75% in A and 25% in B. O.04 O.05 O.06 O.07
Given a choice between two investments with the same expected payoff: a. Most people will choose the one with the lower standard deviation b. Most people will opt for the one with the higher standard deviation c. Most people will be indifferent since the expected payoffs are the same d. Most people will calculate the variance to assess the relative risks of the two choices