A stock has not been fluctuating much in price. Its average price is $20/share. You expect that the stock price behaves the same way in the next year. A one-year put option is selling for $5, which has an exercise price of $20. Suppose the risk-free rate is 0.05. To make use of your expectation in the future price movement, you establish a straddle strategy to maximize your profits. If the stock price actually ends up at $20 in a year, your profit is $ Give your answer to 2 decimal places.

A stock has not been fluctuating much in price. Its average price is $20/share. You expect that the stock price behaves the same way in the next year. A one-year put option is selling for $5, which has an exercise price of $20. Suppose the risk-free rate is 0.05. To make use of your expectation in the future price movement, you establish a straddle strategy to maximize your profits. If the stock price actually ends up at $20 in a year, your profit is $ Give your answer to 2 decimal places.

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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You model a stock price S(t) using a stochastic process, with t measured in years. Your model implies that the risk-neutral distribution for the stock price at t = 4 has probability density function fs(4)(x) = x-40 {} 50 if 40 < x < 50 else Assume that interest is compounded continuously at nominal rate r = : 2.0%. Calculate the price of the stock at time 0 to the nearest pence. Do not enter the pound sign.
During the coming year, the market risk premium (rm− rf), is expected to remain the same, while the risk-free rate, rf, is expected to fall. Given this forecast, which of the following statements is CORRECT? Group of answer choices The required return will fall for all stocks, but it will fall less for stocks with higher betas. The required return will fall for all stocks, but it will fall more for stocks with higher betas. The required return on all stocks will remain unchanged. The required return for all stocks will fall by the same amount. The required return will increase for stocks with a beta less than 1.0 and will decrease for stocks with a beta greater than 1.0.
is this statement TRUE or FALSE ? A stock with price 100 kr follows a one step Binomial model and will either increase invalue to 120 kr or decrease to 90 kr in one years time. The risk free interest rate is zero.An investor consider the increase and decrease in this model to be equally likely to happen.Is it true or false that the investor is risk-averse? is this statement TRUE or FALSE ?
Suppose that during the coming year, the risk free rate, rRF, is expected to remain the same, while the market risk premium (rM − rRF), is expected to fall. Given this forecast, which of the following statements is CORRECT? a. The required return on all stocks will remain unchanged. b. The required return will fall for all stocks, but it will fall more for stocks with higher betas. c. The required return for all stocks will fall by the same amount. d. The required return will fall for all stocks, but it will fall less for stocks with higher betas. e. The required return will increase for stocks with a beta less than 1.0 and will decrease for stocks with a beta greater than 1.0.
We know the following expected returns for stock A and the market portfolio, given different states of the economy: State (s) Probability E(rA,s) E(rM,s) Recession 0.3 -0.05 0.02 Normal 0.5 0.1 0.05 Expansion 0.2 0.18 0.09 The risk-free rate is 0.02. Assuming the CAPM holds (expected and required returns are the same) , what is the beta for stock A?
In this problem we assume the stock price S(t) follows Geometric Brownian Motion described by the following stochastic differential equation: dS = µSdt + o Sdw, where dw is the standard Wiener process and u = 0.13 and o = current stock price is $100 and the stock pays no dividends. 0.20 are constants. The Consider an at-the-money European call option on this stock with 1 year to expiration. What is the most likely value of the option at expiration? Please round your numerical answer to 2 decimal places.
The risk-free rate is 4 per cent. The expected market rate of return is 12 per cent. If you actually expect Stock-X with a beta of 1.0 to offer a rate of return of 10 per cent, show (with calculations) whether this stock is over- or undervalued to you. Given your assessment, will you buy or sell short this stock? Do all calculation .Answer must be correct.
Consider a three-factor APT model. The factors and associated risk premiums are: Factor Risk Premium (%) Change in gross national product (GNP) +6.9 Change in energy prices 0.4 Change in long-term interest rates +2.6 Calculate expected rates of return on the following stocks. The risk-free interest rate is 4.8%. A stock whose return is uncorrelated with all three factors. (Enter your answer as a percent rounded to 1 decimal place.) A stock with average exposure to each factor (i.e., with b = 1 for each). (Enter your answer as a percent rounded to 1 decimal place.) A pure-play energy stock with high exposure to the energy factor (b = 1.9) but zero exposure to the other two factors. (Enter your answer as a percent rounded to 2 decimal places.) An aluminum company stock with average sensitivity to changes in interest rates and GNP, but negative exposure of b = –1.9 to the energy factor. (The aluminum company is energy-intensive and suffers when energy prices…
Assume that you are using the Capital Asset Pricing Model (CAPM) to find the expected return for a share of common stock. Your research shows the following: Beta = βi = 1.54 Risk free rate = Rf = 2.5% per year Market return = E(RM) = 6.5% per year Based on this information, answer the following: A. Based on the beta, how does the stock's risk compare to the market overall? On what do you base your answer? B. Based on the beta, how would you expect the stock's returns to react to a decrease in returns in the market overall? Why? C. According to the CAPM and the information given above, what is the expected return E(Ri) for this stock? D. If the required rate of return on this stock were 7% per year, would you invest? Why or why not?
Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Draw the security market line (SML) Use the CAPM to calculate the required return, on asset A. Assume that as a result of recent economic events, inflationary expectations have declined by 3%, lowering RF and RM to 5% and 9%, respectively. Draw the new SML on the axes in part a, and calculate and show the new required return for asset A. Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?…
Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Draw the security market line (SML) Use the CAPM to calculate the required return, on asset A. Assume that as a result of recent economic events, inflationary expectations have declined by 3%, lowering RF and RM to 5% and 9%, respectively. Draw the new SML on the axes in part a, and calculate and show the new required return for asset A. Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?
Consider a three-factor APT model. The factors and associated risk premiums are: Factor Risk Premium (%) Change in gross national product (GNP) + 6.5 Change in energy prices 0.5 Change in long-term interest rates +2.9 Calculate expected rates of return on the following stocks. The risk - free interest rate is 6.8%. A stock whose return is uncorrelated with all three factors

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