Consider a stock whose current price is $100 and volatility is 20% p.a. The stock is expected to pay a dividend of $2 in one month's time. The risk-free rate is 5% p.a. continuously compounding. (a) Using a two-period binomial tree, what is the value of a 2-month American call whose exercise price is $101? (b) Using a two-period binomial tree, what is the value of a 2-month American put whose exercise price is $101?

The market price of a security is $50. Its expected rate of return is 10%. The risk-free rate is 5%, and the market risk premium is 8%. What will the market price of the security be if its beta doubles (and all other variables remain unchanged)? Assume the stock is expected to pay a constant dividend in perpetuity. (Round your answer to 2 decimal places.)

For a two-period binomial model, you are given:   Each period is one year. The current price for a non dividend-paying stock is 20. u = 1.2840, where u is one plus the rate of capital gain on the stock per period if the stock price goes up. d = 0.8607, where d is one plus the rate of capital loss on the stock per period if the stock price goes down. The continuously compounded risk-free interest rate is 5%.   Calculate the price of an American call option on the stock with a strike price of 22.

The risk-free rate of return is 5%, the required rate of return on the market is 10%, and High-Flyer stock has a beta coefficient of 1.8. If the dividend per share expected during the coming year, D1, is $3.60 and g = 5%, at what price should a share sell? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Currently, the risk-free return is 2 percent, and the expected market rate of return is 11 percent. What is the expected return of the following three-stock portfolio? Do not round intermediate calculations. Round your answer to two decimal places.   Investment Beta $ 200,000 1.0   100,000 0.1   700,000 2.9     %

The current price of a non-dividend-paying biotech stock is $140 with a volatility of 25%. The risk-free rate is 4%. For a 3-month time step: (a) What is the percentage up movement? (b) What is the percentage down movement? (c) What is the probability of an up movement in a risk-neutral world? (d) What is the probability of a down movement in a risk-neutral world? Use a two-step tree to value a 6-month European call option and a 6-month European put option. In both cases the strike price is $150. Answer: (For (a) to (d), answer XX.XX if the answer is XX.XX% or 0.XXXX; for the option prices: please round you answers to the second decimal places.) (a, (c) (d) Price of the Call: Price of the Put: % % % %

Perform all calculations with excel: ABC Corporation is currently trading at $40, with volatility\ sigma 30%, r = 5%, and no dividends. Assume that the ABC stock price can be modeled according to a three period binomial approach with T = 9 months and n = 3, so that the stock price moves every 3 months. 1. Build out the binomial tree for ABC. 2. What is the value of an American put option with strike price 40? 3. What is the value of a European call option with strike price 50?

Suppose TRF = 4%, TM = 9%, and b = 1.1. a. What is n, the required rate of return on Stock i? Round your answer to one decimal place. % b. 1. Now suppose rar increases to 5%. The slope of the SML remains constant. How would this affect ry and n? I. ry will increase by 1 percentage point and n will remain the same. II. Both ry and r, will decrease by 1 percentage point. III. Both rm and r, will remain the same.. IV. Both r and r, will increase by 1 percentage point. V. r will remain the same and r, will increase by 1 percentage point. -Select- v 2. Now suppose rar decreases to 3%. The slope of the SML remains constant. How would this affect ry and n? I. TM will decrease by 1 percentage point and n will remain the same. II. rs will remain the same and n will decrease by 1 percentage point. III. Both ry and r, will increase by 1 percentage point. IV. Both ry and r, will remain the same. V. Both ry and r, will decrease by 1 percentage point. Select

A stock has a current price of 50. The continuously compounded risk - free interest rate is 8%. The stock is going to pay a dividend of 0.5 one month from now and another dividend of 1 five months from now. Suppose that the market prepaid forward price of a prepaid forward contract that delivers one share after 6 months is 49. Construct an arbitrage portfolio and give the arbitrage profit.

A stock is currently trading at $54 and we assume a three-period binomial tree model where each period the stock can either increase by 20%, or fall by 18%. Each step in the tree is 3 months. The interest rate is 1.1% per year (continuous compounding). In this model, what is the risk-neutral probability that the stock price will go up twice and drop once over the three periods? [Provide your answer as a percentage rounded to two decimals, i.e. 40.25 for 0.4025=40.25%]