Assume the following values when none is specified: So 100 \sigma = 20% T = 1K = 100 r = 5% We will add another stock to the mix with the following characteristics: Xo = 90 \sigma = 30% Assume the correlation \rho = 50% We want to value a spread option whose payoff is max(ST-XT - Kspread, 0) with Kspread = 81. UsingaMonte Carlomethodofyourchoice, whatisthe price,delta,gammaandthetaofthisderivative? 2. Plot how the price changes with different values of the correlation? Any intuitive explanation?

Assume the following values when none is specified: So 100 \sigma = 20% T = 1K = 100 r = 5% We will add another stock to the mix with the following characteristics: Xo = 90 \sigma = 30% Assume the correlation \rho = 50% We want to value a spread option whose payoff is max(ST-XT - Kspread, 0) with Kspread = 81. UsingaMonte Carlomethodofyourchoice, whatisthe price,delta,gammaandthetaofthisderivative? 2. Plot how the price changes with different values of the correlation? Any intuitive explanation?

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter3: Risk And Return: Part Ii

Section: Chapter Questions

Problem 2P: APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free...

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APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free rate is 6%, the expected return on the first factor (r1) is 12%, and the expected return on the second factor (r2) is 8%. If bi1 = 0.7 and bi2 = 0.9, what is Crisp’s required return?
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 .
Suppose you are given the following inputs for the Fama-Frech-3-Factor model. Required Return for Stock i: bi=0.8, kRF=8%, the market risk premium is 6%, ci=-0.6, the expected value for the size factor is 5%, di=-0.4, and the expected value for the book-to-market factor is 4%. Task: Estimate the required rate of return of this asset using the Capital asset pricing model and compare it with the Fama-French-3-factor model.
2. Derive the single - period binomial model for a put option. Include a single - period example where: u = 1.10, d = 0.95, Rf = 0.05, SO = $100, X = $100. 3. Assume ABC stock's price follows a binomial process, is trading at SO = $100, has u 1.10, d = 0.95, and probability of its price increasing in one period is 0.5 (q = 0.5). a. Show with a binomial tree ABC's possible stock prices, logarithmic returns, and probabilities after one period and two periods. . b. What are the stock's expected logarithmic return and variance for 2 periods and 3 periods? c. Define the properties of a binomial distribution.
Let S = $100, K = $95, \sigma = 30%, r = 8%, T = 1, and \delta = 0. For simplicity, let u = 1.3, d = 0.8 and n = 2 (that is, 2 periods). When constructing the binomial tree for the European call option, what is A (Stock Share Purchased in the replicating portfolio) at the first node (Time 0)? Question 11 options: 0.1789 0.3886 1.0000 0.2550 0.6912
Suppose we estimate SBUX to have β=0.80 when the market premium is 9% and the risk free rate is 3%. However, if SBUX is currently priced to return 9%, then according to the CAPM model SBUX stock is currently _______________ . A) overvalued B) undervalued C) priced just right!
If put A has T = 0.5, X = 50, sigma = 0.2, and a price of 10, and put B has T = 0.5, X = 50, sigma = 0.2, and a price of 12, which put is written on a stock with a lower price (and why)?
(d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates ofreturn of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.
Suppose the risk free rate (rfr) = 5%, average %3D market return (rm) = 10%, and the required or expected rate of return E(r) = 12% for %3D TNG stock. (a) Calculate the Beta for TNG. (b) If TNG's Beta = 2.0, what would be TNG's new required or expected rate of return (r)?
1. Consider a one period binomial model. Suppose So = 1 att = To; and Su = 2 and Sd = ½ at time T₁. If we assume the risk free rate R is 1.2, compute the current value of a European put with strike K = 1. Please round your answer to 2 decimals. Enter answer here 2. Compute the number of units of stock we need to short in order to replicate the option in the previous question. Please round your answer to 2 decimals. Enter answer here 3. Use Black-Scholes Formula to calculate the call price of a European call option with: So = 20, K = 20, r = 5%, c = 0,0 = 40%, T = 5; (round to two decimal digits).
If the beta of Asset A is 2.2, the risk free rate is 2.5%, and the expected return on Asset A is 8%, what is the expected return on the market (Note: you want to use CAPM)? Group of answer choices 7.28% 5.00% 8.00% 16.80%
Suppose you have the following information concerning a particular options.Stock price, S = RM 21Exercise price, K = RM 20Interest rate, r = 0.08Maturity, T = 180 days = 0.5Standard deviation,= 0.5 a. What is correct of the call options using Black-Scholes model? * Look for N(d1) and N(d2) from the cumulative standard normal distribution table: