Consider a XYZ stock index spot price is 69 and 7-months forward price is 70. The continuously compounded dividend yield and risk-free interest rate are 3% and 5% respectively. Market maker could take arbitrage opportunity by (long/short) forward contract and (long/short) synthetic forward contract which includes (buying/selling) stock and (borrowing / lending) money. So the profit at expiration time will be (Please round your answer to 4 decimal places)

Consider a XYZ stock index spot price is 69 and 7-months forward price is 70. The continuously compounded dividend yield and risk-free interest rate are 3% and 5% respectively. Market maker could take arbitrage opportunity by (long/short) forward contract and (long/short) synthetic forward contract which includes (buying/selling) stock and (borrowing / lending) money. So the profit at expiration time will be (Please round your answer to 4 decimal places)

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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Consider a XYZ stock index spot price is 69 and 7-months forward price is 70. The continuously compounded dividend yield and risk-free interest rate are 3% and 5% respectively. Market maker could take arbitrage opportunity by (long/short) forward contract and (long/short) synthetic forward contract which includes (buying/selling) stock and (borrowing / lending ) money. So the profit at expiration time will be . (Please round your answer to 4 decimal places)
b) You are given the following information about Stock X and the market: The annual effective risk-frec rate is 5%. The expected return and volatility for Stock X and the market are shown in the table below: Expected Return Volatility Stock X 5% 40% Market 8% 25% The correlation between the returns of stock X and the market is -0.25. Assume the Capital Asset Pricing Model holds. Calculate the required return for Stock X and determine if the investor should invest in Stock X.
Now assume that the stock is currently selling at $30.29. What is its expected rate of return?
A European call that will expire in one year is currently trading for $3. Assume the risk-free rate (based on continuous compounding) is 5%, the underlying stock price is $60 and the strike price is $55. a. Is there an arbitrage opportunity? b. Describe exactly what a trader should do to take advantage of the arbitrage opportunity assuming it exists. c. Determine the present value of the profit that the trader can earn assuming you identify an arbitrage opportunity. Use at least four decimal places for those questions that require a numerical answer.
Assume that the risk-free rate of return is 4% and the market risk premium (ie., Rm- Rf) is 89%. If use the Capital Asset Pricing Model (CAPM) to estimate the expected rate of return on a stock with a beta of 128, then this stock's expected retum should be ---- A) 10.53% B) 14.24% 23.15% D) 6.59%
3) Suppose that the price of a non-dividend-paying stock is $27, its vo itility is 20%, and the risk- free rate for all maturities is 6% per annum. Provide a table showing the relationship between profit and final stock price for a butterfly spread using European put option with strike prices of $20, $25, and $30 and a maturity of one year. Ignore the impact of time a e of money.
Assume that the risk-free rate of return is 4% and the market risk premium (i.e., Rm- Re) is 8%. If use the Capital Asset Pricing Model (CAPM) to estimate the expected rate of return on a stock with a beta of 128, then this stock's exoected return should be ----- A) 10.53 B) 14.24% C) 2315% D) 6.59%
Assume that the risk-free and rate is 5.50% and the market risk premium is 7.75%. What is the expected return for the overall stock market (rm)?
Assume that the risk-free rate of return is 4% and the market risk premium (ie., Rm - Re) is 89%. If use the Capital Asset Pricing Model (CAPM) to estimate the expected rate of return on a stock with a beta of 128, then this stock's exoected return should be A) 10.53% B) 14.24% 23.15% D) 6.59%
You live in a world where assets are priced by the CAPM. The following information is given to you regarding stock X. The expected payoff from the stock X=£105.00 Expected return of stock X = 18% Risk-free rate =5% Market Risk Premium = 9% Assume there are no other changes, except that the correlation between the returns of Stock X and the market becomes twice what it is currently. How would this change affect the current price of Stock X? Explain why the change of the correlation causes the observed change in the stock price. [hint: Provide a risk-based explanation]
A share price is modelled via a two-period binomial model with initial stock price S=40, up/down multiplication factors u = per time period r = 4%. and d = and interest rate Explain Does this model satisfy the no-arbitrage assumption? Write 0 if your answer is 'no' and 1 if your answer is 'yes'. Answer: your argument in your hand-written answer (b) Calculate the risk-neutral probabilities of up and down movements in the share price. State your answer to three valid digits. Answer: P = Pd= (c) to three valid digits. Answer: Determine the no-arbitrage price of a European call option on the share with strike price K = 70 and expiry time T = 2. State your answer Explain your calculation steps in your hand-written answer.
Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, r. The characteristics of two of the stocks are as follows: Stock A B Correlation-1 Rate of return. Expected. Return 79 10% Standard Deviation 30% 70% Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a "synthetic" risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium ry be greater than rate of return? Yes No