1.Which of the following is assumed by the Black-Scholes-Merton model? A.The return from the stock in a short period of time is lognormal B.The stock price at a future time is lognormal C.The stock price at a future time is normal D.None of the above
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1.Which of the following is assumed by the Black-Scholes-Merton model?
A.The return from the stock in a short period of time is lognormal
B.The stock price at a future time is lognormal
C.The stock price at a future time is normal
D.None of the above
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- Assume that the risk-free rate remains constant, but the market risk premium declines. Which of the following is most likely to occur? a. The required return on a stock with beta = 1.0 will not change. b. The required return on a stock with beta > 1.0 will increase. c. The return on "the market" will increase. d. The return on "the market" will remain constant. e. The required return on a stock with a positive beta < 1.0 will decline.Stocks A and B have the following data. Assuming the stock marketyls efficient and the stocks are in equilibrium, which of the following statements is CORRECT? \table[[,A,BSuppose you have the following expectations about the market condition and the returns on Stocks X and Y. a) What are the expected returns for Stocks X and Y, E(rX) and E(rY)? b) What are the standard deviations of the returns for Stocks X and Y, σX and σY?
- 1. Suppose stock A has a higher volatility than stock B. According to CAPM, which one is expected to deliver a higher return? A. A B. B C. The information provided is insufficient D. None of above is correctIf a stock's expected return plots on or above the SML, then the stock's return is SML, the stock's return is to compensate the investor for risk. cent to compensate the investor for risk. If a stock's expected return plots below the The SML line can change due to expected Inflation and risk aversion. If inflation changes, then the SML plotted on a graph will shift up or down parallel to the old SML. If risk aversion changes, then the SML plotted on a graph will rotate up or down becoming more or less steep if investors become more or less risk averse. A firm can influence market risk (hence its beta coefficient) through changes in the composition of its assets and through changes in the amount of debt it uses. Quantitative Problem: You are given the following information for Wine and Cork Enterprises (WCE): Tar 4%; 10 % ; RPM 6%, and beta - 1.1 What is WCE's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. -75 % If inflation…a. Explain how and why an increase in each of the following affects the prices of both call and putoptions, holding all other variables constant: i. The current stock price ii. The strike price
- Assuming that the stock price follows a geometric Brownian motion, is it a Markov process when the coefficient is not constant?Consider the below graph: E(R₁) E(RM) R₁ stocks M O stocks O What is the slope of the graph? If the historical return of an individual stock is lying the slope then the stock is undervalued or overvalued?Questions C and D is required. Thank you.c) Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return 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 pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i ( , where are standard deviations of asset i and market portfolio, is the correlation between asset i and the market portfolio)
- Which of the following statements is CORRECT? a. The slope of the Security Market Line is beta. b. Any stock with a negative beta must in theory have a negative required rate of return, provided rRF is positive. c. If a stock's beta doubles, its required rate of return must also double. d. If a stock's returns are negatively correlated with returns on most other stocks, the stock's beta will be negative. e. If a stock has a beta of to 1.0, its required rate of return will be unaffected by changes in the market risk premium.Let Ps be the current market price of a share of common stock of Company X. Let P; be the "fundamental" value of a share of common stock of Company X. Let r be the long-run average annual compounded rate of return on common stocks, ånd b be the long-run annual compounded rate of return on corporate bonds. Finally, let ɛ be a random error term. Which of the following equations best characterizes the Efficient Markets Hypothesis? Select one: O a. Ps = Pf + r+ ɛ O b. Ps = Pf + ɛ- b O c. Ps = (Pf + ɛ) x (r – b) O d. Ps = Pf + ɛThe slope of a regression line when the return on an individual stock's returns are regressed on the return on the market portfolio, would be: OAR BR-₁ B OC none of the answers listed here. ODO im