d. Consider a stock with a current price of P $27 Suppose that over the next 6 months the stock price will either go up by a factor of 1.41 or down by a factor of 0.71. Consider a call option on the stock with a strike price of $25 that expires in 6 months. The nsk-free rate is 6%. (1) Using the binomial model, what are the ending values of the stock price? What are the payoffs of the call option? (2) Suppose you write one cal option and buy N shares of stock How many shares must yoCu buy to create a portfolio with a riskless payoff Ge, a hedge portfolio)? What is the payoff of the portfolio? (3 Wratis tne present value of the hedge port- folo? What is the value of the call option?.

d. Consider a stock with a current price of P $27 Suppose that over the next 6 months the stock price will either go up by a factor of 1.41 or down by a factor of 0.71. Consider a call option on the stock with a strike price of $25 that expires in 6 months. The nsk-free rate is 6%. (1) Using the binomial model, what are the ending values of the stock price? What are the payoffs of the call option? (2) Suppose you write one cal option and buy N shares of stock How many shares must yoCu buy to create a portfolio with a riskless payoff Ge, a hedge portfolio)? What is the payoff of the portfolio? (3 Wratis tne present value of the hedge port- folo? What is the value of the call option?.

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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Use the Black-Scholes formula to find the value of a call option based on the following inputs. (Round your final answer to 2 decimal places. Do not round intermediate calculations.) Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value GA $ $ $ 48 60 0.07 0.04 0.50 0.26
suppose that you have a call option that is at 1.30. it has a Delta of .35 a Gamma of .06 a Theta of .02 assume Vega is constant. today the stock moves from $45 to $46. the next day (day 2) the stock moves another dollar to $47. What is the value of your call option at the end of day two
1. If a stock has a(Alpha)=0.002, b(Beta)=1.4, Using the market model (eq. 7.4), find the expected percent return for the above stock if the market return is expected to be 2% and the risk free rate is 1%. 2. Assume stock prices follow a random walk and a particular stock has had the following recent stock prices: Day 1: 129.5 Day 2: 126.9 Day 3: 127.1 what is the best estimate of day 4 prices?
Assume that the risk-free rate is 7.5% and the market risk premium is 3%. What is the required return for the overall stock market? Round your answer to one decimal place. _________ % What is the required rate of return on a stock with a beta of 1.8? Round your answer to one decimal place. _____________ %
Consider a call option on one share of BP with a strike price of $70 and exercise time 1 quarter (3 months). Suppose the current stock price for BP is S(0) = $65 per share. Suppose further that A(0) = $100, A(1) = $102 and two possible prices for S(1) are S $74 with probability 0.5, S(1) = $66 with probability 0.5. Evaluate the expected returns E(Ks) and E(Kc) for the stock and the option.
Consider a two - period binomial model, where each period is 6 months. Assume the stock price is $75.00, \sigma 0.35, and r = 0.05. An American call option with a strike price of $80 would be exercised early at what dividend yield? () (A) 5.0% (B) 7.0 % (C) 9.0% (D) Never exercise early
1. What is the fair value for a two-year American put option with a strike price of $85 over a stock which is trading at $86.15 which has a volatility of 37% when the risk free rate is 1.75% using the two step binomial tree? a) What is the delta of this option? b) What is the probability of a down movement in this stock? c) What is the probability of an up movement in this stock? d) What is the proportional move up for this stock e) What is the proportional move down for this stock f) What would be the value of the call option with the same strike price?
Assume that the risk-free rate is 2.5% and the market risk premium is 8%. What is the required return for the overall stock market? Round your answer to one decimal place. ? % What is the required rate of return on a stock with a beta of 0.5? Round your answer to one decimal place. ? % The above is a two part question, therefore the second answer is determined based off the first answer provided. Please, please, please do provide both answers.
Suppose the value of the S&P 500 stock index is currently 2,000.a. If the 1-year T-bill rate is 3% and the expected dividend yield on the S&P 500 is 2%, what should the 1-year maturity futures price be?b. What if the T-bill rate is less than the dividend yield, for example, 1%?
Assume that the risk-free rate is 5.5% and the market risk premium is 7%. What is the required return for the overall stock market? Round your answer to one decimal place. % What is the required rate of return on a stock with a beta of 1.9? Round your answer to one decimal place. %
Find the implied volatility (to 2 decimals, for example, �=8.23% ) of a Put option with a time to expiration of 11 months and a price of $6.13 The stock is currently trading at $47. The riskless rate is 2% per annum, and the strike/exercise price of the option is $50. Hint: compute the Put price using the same formula as in exercise 4 , as a function of the volatility �. Then use Solver to change the volatility cell in order to obtain a price of $6.13 \table[[�1=,-0.0614997,,So =,47],[�2=,,4,�=,50],[,,,�=,2%
A stock is currently selling for $39. In one period, the stock will move up by a factor of 1.29 or down by a factor of .53. A call option with a strike price of $50 is available. If the risk-free rate of interest is 2.5 percent for this period, what is the value of the call option?

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