Consider a portfolio consisting of one share and several European call options with the same expiry, but different strike prices. The payoff diagram of the portfolio is given by the following figure. Find the strike prices and the positions of each call option. Payoff 25 20 15 10 5 OF 10 I 10 Portfolio payoff T 15 Stock price 1 20 25 30

Consider a portfolio consisting of one share and several European call options with the same expiry, but different strike prices. The payoff diagram of the portfolio is given by the following figure. Find the strike prices and the positions of each call option. Payoff 25 20 15 10 5 OF 10 I 10 Portfolio payoff T 15 Stock price 1 20 25 30

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Stock M has a relevant risk equals 1.75, and unsystematic risk equals 2. If the real risk-free rate of interest equals 3 percent, inflation premium equals 2 percent, expected market return equals 11 percent, and the required rate of return on a portfolio consisting of all stocks, which is the market portfolio equals 11 percent, what is Stock M's required rate of return? Interpret your answer.
Consider three scenarios with the probabilities given below. Let the returns on two different stocks in these scenarios be as follows: Scenario Probability return K1 return K2 Wi 0.2 -10% -30% W2 0.5 0% 20% W3 0.3 10% 50% If a portfolio has 60% of funds invested in stock 1 and 40% of funds invested in stock 2, find the risk oy for this portfolio.
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
Consider the 1-period binomial model with a bond with A(0) = 60 and A(1) = 70 and a stock with S(0) = 4X and S^u(1) 6Y and S^d(1) = 3Z. = 1. What is the price (payoff) C(1) of a call option with strike price 28? 2. same... with strike price 45? 3. same... with strike price 72? 4. Set up a system of linear equations to determine a replicating portfolio for the call option from part 2 (strike price 45). 5. Solve it and determine the price C(O). 6. Compute, tabulate, and plot the price C(O) as you vary the strike price of the option from 28, 29, ..., 71, 72.
Consider following information on a risky portfolio, risk-free asset and the market index. What is the M2 of the risky portfolio? Risky portfolio Risk-free asset Market index Average return 8.2% 2% 6% Std. Dev. 26% 20% Residual std. dev. 10% Alpha 1.4% Beta
Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock(b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?
Consider the following two period binomial tree: Stock Prices $110- O $3.94 O $4.77 If the strike price is $110, and the risk-free rate of return R is 1.06, the put value in the down state at the end of the first period dS is: O $0.21 $133.10 { $108.90 $89.10 O $5.06 $121.00 $99.00
Consider the following simplified APT model: Factor Market Expected Risk Premium (%) Interest rate Yield spread 6.2 -0.8 4.8 Factor Risk Exposures Market ( Interest Rate ( Yield Spread ( Stock b₁ ) P 1.0 p2 1.0 p3 0.3 b2 ) -1.4 0 2.1 b3 ) -0.6 0.1 0.6 = : 3.8%. Calculate the expected return for each of the stocks shown in the table above. Assume rf Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Expected return P 7.80% Expected return P2 10.38% Expected return P3 %

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