You are a provider of portfolio insurance and are establishing a 4-year program. The portfolio you manage is worth $110 million, and you hope to provide a minimum return of 0%. The equity portfolio has a standard deviation of 23% per year, and T-bills pay 5% per year. Assume that the portfolio pays no dividends. b-1. What is the delta If the new portfolio falls by 4% on the first day of trading? (Negative value should beindicated by a minus sign. Enter your answer in millions rounded to 4 decimal places.)Delta of the portfoliob-2. Complete the following: (Enter your answer in millions rounded to 4 decimal places.)Assuming the portfolio does fall by 4%, the manager shouldsellin stock.

To calculate the delta of the portfolio, we need to use the Black-Scholes delta formula, which gives…

You are a provider of portfolio insurance and are establishing a 4-year program. The portfolio you manage is worth $110 million, and you hope to provide a minimum return of 0%. The equity portfolio has a standard deviation of 23% per year, and T-bills pay 5% per year. Assume that the portfolio pays no dividends.

You are a provider of portfolio insurance and are establishing a 4-year program. The portfolio you manage is worth $110 million, and you hope to provide a minimum return of 0%. The equity portfolio has a standard deviation of 23% per year, and T-bills pay 5% per year. Assume that the portfolio pays no dividends.

EBK CFIN

6th Edition

ISBN:9781337671743

Author:BESLEY

Publisher:BESLEY

Chapter8: Risk And Rates Of Return

Section: Chapter Questions

Problem 8PROB

See similar textbooks

Similar questions

A stock has a beta of 1.26 and an expected return of 12.4 percent. A risk-free asset currently earns 4.1 percent. a. What is the expected return on a portfolio that is equally invested in the two assets? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If a portfolio of the two assets has a beta of .86, what are the portfolio weights? (Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616.) c. If a portfolio of the two assets has an expected return of 11.6 percent, what is its beta? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. If a portfolio of the two assets has a beta of 2.46, what are the portfolio weights? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616.)
A stock has a beta of 1.8 and an expected return of 13 percent. A risk-free asset currently earns 3.2 percent. a. What is the expected return on a portfolio that is equally invested in the two assets? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return % b. If a portfolio of the two assets has a beta of .99, what are the portfolio weights? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Weight of stock Risk-free weight c. If a portfolio of the two assets has an expected return of 9 percent, what is its beta? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.) Beta d. If a portfolio of the two assets has a beta of 3.6, what are the portfolio weights? (Do not round intermediate calculations. A negative answer should be indicated by a minus sign. Round your answers to…
If the risk free rate is 4.4%, the expected return on the market portfolio (i.e., Rm)( is 11.6%, and the beta of Stock B is 0.9 , what is the required rate of return for Stock B according to the Capital Asset Pricing Model (CAPM)? (Round your answer rounded to one decimal place and record without a percent sign). Your Answer: If the risk free rate is 1.2%, the market risk premium (i.e., Rm - Rf) is 13.5%, and the beta of Stock B is 1.9 , what is the required rate of return for Stock B according to the Capital Asset Pricing Model (CAPM)? (Round your answer rounded to one decimal place and record without a percent sign). Your Answer:
You have a portfolio consisting solely of Stock A and Stock B. The portfolio has an expected return of 10.9 percent. Stock A has an expected return of 13.4 percent while Stock B is expected to return 7.3 percent. What is the portfolio weight of Stock A? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Consider the following states of outcomes, probabilities, and expected returns on only stocks three stocks in your portfolio; X, Y, and Z. State Probability X Y Z Boom 0.1 16% 10% 22% Semi-Boom 0.15 14% 8% 18% Normal 0.55 10% 6% 14% Mild-Recession ?? 5% 4% -10% Full-Recession 0.05 -3% 2% -12% a. What is the expected return of the portfolio if $25,000 is invested in X, $35,000 in Y, and $30,000 invested in stock Z? b. What are the standard deviations of stocks X, Y, and Z?
Consider the following information about three stocks: State of Economy Probability of State of Economy Rate of Return If State Occurs Stock A Stock B Stock C Boom .25 .13 .29 .60 Normal .60 .08 .11 .13 Bust .15 .02 −.18 −.45 a-1. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-2. What is the variance? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) a-3. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If the expected T-bill rate is 3.70 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g.,…
Suppose that every time a fund manager trades stock, transaction costs such as commissions and bid–ask spreads amount to 2.8% of the value of the trade. If the portfolio turnover rate is 50%, by how much is the total return of the portfolio reduced by trading costs? (Round your answer to 1 decimal place.)
Stock X has a beta of 0.6, while Stock Y has a beta of 1.4. Which of the following statements is CORRECT? a. If expected inflation increases but the market risk premium is unchanged, then the required return on both stocks will fall by the same amount. b. A portfolio consisting of $50,000 invested in Stock X and $50,000 invested in Stock Y will have a required return that exceeds that of the overall market. c. If expected inflation declines but the market risk premium is unchanged, then the required return on both stocks will decrease but the decrease will be greater for Stock Y. d. Stock Y must have a higher expected return and a higher standard deviation than Stock X. e. If the market risk premium declines but expected inflation is unchanged, the required return on both stocks will decrease, but the decrease will be greater for Stock Y.
You own a portfolio that has $18,000 invested in Stock A and $17,000 invested in Stock B. The expected returns on these stocks are 15.9 percent and 7.1 percent, respectively. What is the expected return on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Stock A has a beta of 1, the risk-free rate is 4% and the return on the market is 9%. If the market risk premium changes by 7%, by how much will the required return on Stock A change? (i.e. required return after change - required return before the change) answer format: show your answer in percent (without the % sign) and to 1 decimal place. For example, 12.56 should be shown as 12.6
Stock A has a beta of 1.5, the risk-free rate is 4% and the return on the market is 9%. If inflation changes by -3%, by how much will the required return on Stock A change? (i.e. required return after change - required return before the change) answer format: show your answer in percent (without th
The risk-free rate is 4% and the market risk premium is 5%. What is the required return on a portfolio of stocks A and B given the information below: Stock Weight Beta A 30% 0.6 B 70% 1.0 answer format: show your answer in percent (without the % sign) and to 1 decimal place. For example, 12.56 should be shown as 12.6