A stock trading at $47 has a volatility of 30 percent. The continuously compounded risk-free rate is 6 percent. A dividend of $1.4 is expected in 4 months, and no other dividends are expected during the next 12 months. Price a European call written on this stock with an exercise price of $50 and a time to maturity of one year.

A stock trading at $47 has a volatility of 30 percent. The continuously compounded risk-free rate is 6 percent. A dividend of $1.4 is expected in 4 months, and no other dividends are expected during the next 12 months. Price a European call written on this stock with an exercise price of $50 and a time to maturity of one year.

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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A share of stock with a beta of 1.20 now sells for 55. Investors expect the stock to pay a year-end dividend of 2.90. The T-bill rate is 7 percent, and the market risk premium is 8 percent. If the stock is perceived to be fairly priced today,What must be investors’ expectations of the price of the stock at the end of the year?
A stock price with an expected return of 26% and a volatility of 30% . The current price is $48 . What is the probability that a European call option on the stock with an exercise price of $50 and a maturity date in six months will be exercised
A stock is worth $50 on december, 1st 2021. This price increases by 4% ou decreases by 4% every 2 months. The flat continuous rate of interest is 5% and the continuous rate of dividend is 2%. a) What is the premium of an American call on this stock with a maturity of 6 months and a strike price of $48? b) What is the premium of a European put on the stock? Maturity and strike price remain unchanged. c) In option pricing theory, what does 'risk neutral' probability mean? What is the probability the European put gets exercised?
Suppose a non-dividend paying stock is trading at $175 per share and has a volatility of 20%. What is the fair price of a 3-month European call option with a strike price of $190 per share using 1 binomial period? Assume the risk-free rate is 1%. Round to the nearest $0.01.
Suppose the stock price is currently $75. For the next six months there is 7.5% probability that the stock will appreciate 8% with 4% annualized drift. The risk-free rate is 1.53% per year with continuous compounding. The dividend yield is 1 p.a.%. Value the following option using binomial tress and 12-time steps. a.) What is the value of a six-month European put option with a strike price of $86. b.) What is the value of a six-month American put option with a strike price of $70. c.) What is the value of a six-month European call option with a strike price of $86. d.) What is the value of a six-month European put option with a strike price of $70. e.) Estimate how high the minimum strike price must be for it to be optimal to exercise the put option immediately.
A Firm has a stock price of 65 and an annual standard deviation of 25%. The risk-free rate is 10% (c.c.). This firm will pay a dividend of $8 in exactly 3 months and no other dividends over the next year. Price an American call written on this stock with an exercise price of $70 and a time to maturity of one year.
The spot price of a share of XYZ stock is $100. The annual risk-free continuously compounded interest rate is 0.07, and the stock pays no dividends. The annualized standard deviation of the continuously compounded stock return is 0.2. Find the price of a European call option on the stock with strike price $110 and that matures in 4 years.
The current price of a non-dividend-paying stock is $40. Over the next year it is expected to rise to $44 or fall to $36. An investor buys put options with a strike price of $41. What is the price of each option? The risk-free interest rate is 2% per annum (assume discrete compounding). a. $2.35 b. $1.76 c. $2.18 d. $1.96
Muller's Investigative Services has stock is trading at $45 per share. The stock is expected to have a year-end dividend of $3 per share (D₁ = $3), and it is expected to grow at some constant rate, g₁, throughout time. The stock's required rate of return is 12% (assume the market is in equilibrium with the required return equal to the expected return). What is your forecast of g₁? Do not round intermediate calculations. Round the answer to two decimal places
A stock you are interested in paid a dividend of $1 last year. The anticipated growth rate in What is the price of a $60 strike put? Assume S = $63.75, σ = 0.20, r = 0.055, the stock pays no dividend and the option expires in 50 days? and earnings is 25% for the next 2 years before settling down to a constant 5% growth rate. The discount rate is 12%. Calculate the expected price of
YNA is expected to pay a dividend of $1.0 in Year 1 and $1.2 in Year 2. Analysts expect the price of YNA shares to be $19 two years from now. The risk-free rate of return is 4%, and the expected return on the market portfolio is 14%. The beta of the stock is 1.2. Compute the intrinsic value of the stock. Round your answer to two decimal places and enter without the dollar sign.
You observe that a non-dividend paying stock currently trades for ₺150 on Borsa Istanbul. The annual standard deviation of its returns is expected to be 41% per year over the next year and the continuously compounded risk-free rate of interest is flat at 18% per year over all investment horizons. Compute the theoretical price of a European call option with a strike price of ₺200 and five months remaining until expiration written on a single share of this stock using to the Black-Scholes option pricing model

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