ong 4 calls with strike price 91.0 and price 21.717 Short 0 calls with strike price 91.0 and price 21.717 Long 0 calls with strike price 106.0 and price 17.807 Short 2 calls with strike price 106.0 and price 17.807 Long 0 calls with strike price 131.0 and price 11.291 Short 2 calls with strike price 131.0 and price 11.291 What is the cost of the portfolio:

ong 4 calls with strike price 91.0 and price 21.717 Short 0 calls with strike price 91.0 and price 21.717 Long 0 calls with strike price 106.0 and price 17.807 Short 2 calls with strike price 106.0 and price 17.807 Long 0 calls with strike price 131.0 and price 11.291 Short 2 calls with strike price 131.0 and price 11.291 What is the cost of the portfolio:

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 20P

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a) The cost of a portfolio consisting of a long position in a call option with strike price 50 and a short position in a call option with strike price 80 is zero (both call options are on the same stock and have the same maturity date). True or false? Explain. b) Carefully draw the payoff diagram of a portfolio consisting of a long position in two call options with exercise price ?, a short position in five call options with exercise price 2? and a long position in four call options with exercise price 3?. All options have the same maturity date and the same underlying stock. What reasons could a speculator have for holding such a portfolio (explain in detail)?
Suppose the risk-free rate is 6 percent and the market portfolio has an expected return of 12 percent. The market portfolio has a standard deviation of 7 percent. Portfolio Z has a correlation coefficient with the market of 0.35 and standard deviation of 6 percent. According to the capital asset pricing model, what is the expected return on portfolio Z a. 12.6 percent b. 7.8 percent c. 9.87 percent d. 12.05 percent
The following portfolios are being considered for investment. During the period under consideration, RFR = 0.08. Portfolio Return Beta σi P 0.14 1.00 0.05 Q 0.20 1.30 0.11 R 0.10 0.60 0.03 S 0.17 1.20 0.06 Market 0.12 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Sharpe measure P Q R S Market Compute the Treynor measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Treynor measure P Q R S Market
Suppose that you use Arbitrage Pricing Theory (APT) to evaluate well-diversified portfolios. The three factor portfolios used in an APT model, portfolios 1, 2, and 3, have expected returns E(r1) = 5%, E(r2) = 3%, and E(r3) = 8%. Suppose further that the risk-free rate (λ0) is 2%. Calculate the total return on a well- diversified portfolio with its beta on the first factor, βA1 = 1.1, beta on the second factor, βA2 = .9, and beta on the third factor, βA3 = 1.2.
The cost of a portfolio consisting of a long position in a call option with strike price 50 and a short position in a call option with strike price 80 is zero (both call options are on the same stock and have the same maturity date). True or false? Explain.
Consider the following information: Portfolio Expected Return Standard Deviation Risk-free 7% 0% Market 11.6 28 A 10.0 17 Required: a. Calculate the Sharpe ratios for the market portfolio and portfolio A. (Round your answers to 2 decimal places.) b. If the simple CAPM is valid, is the above situation possible?
A portfolio that combines the risk-free asset and the market portfolio has an expected return of 6.4 percent and a standard deviation of 9.4 percent. The risk-free rate is 3.4 percent, and the expected return on the market portfolio is 11.4 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .39 correlation with the market portfolio and a standard deviation of 54.4 percent? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent.The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. Compute and justify the expected rate of return would a security earn if it had a 0.45 correlation with the market portfolio and a standard deviation of 55 percent.
Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .
Assume the APT equation for portfolios A and B with the following system of equations: E[rA] = λ0 + (λ1)3 + (λ2)0.2 = 11.0 E[rB] = λ0 + (λ1)2 + (λ2)1 = 13.0 Assume the following: . The risk free rate is λ0 = Rf = 5 . The expected return on the market portfolio is RM = 10 . Expected returns are consistent with the CAPM. . (hint: note that λ1 = E[RA] − Rf and λ2 = E[RB] − Rf ). Answer the following: (a) What are λ1 and λ2? (b) What is the CAPM β associated with the pure portfolio associated with factor 1? (c) What is the CAPM β associated with the pure portfolio associated with factor 2?
The following portfolios are being considered for investment. During the period under consideration, RFR =0.07 Porfolio Return Beta P 0.15 1.00 0.05 Q 0.20 1.50 0.1 R 0.10 0.60 0.03 S 0.17 1.10 0.06 Market 0.13 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio Compute the Treynor measure for each portfolio and the market portfolio Rank the portfolios using each measure explaining the cause for any differences you find in the rankings.
Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…