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%]

A stock is expected to pay a dividend of $1.99 at the end of the year. The required rate of return is rs = 13.82%, and the expected constant growth rate is g = 8.0%. What is the stock's current price?Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72. A. $39.61 B. $29.71 C. $34.14 D. $42.68 E. $35.51

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 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: % % % %

During any given year, each stock in a portfolio will either increase in value or decrease in value (no stock will remain exactly even). Assume that each stock in the portfolio has a 52% chance of increasing in value. The portfolio contains four different stocks and the stock prices are independent of each other. (a) What is the probability that all of the stocks decrease in value during the year? (Round answer to four decimal places.) (b) What is the probability that at least one of the stocks will increase in value during the year? (Round answer to four decimal places.) (c) What is the probability that at least one of the stocks will decrease in value during the year? (Round answer to four decimal places.)

Suppose that the current price of Roblox Corporation common stock is (RBLX) is $100. If the price of RBLX will be either $150 or $50 one year from now, what is the price of a call option with a strike price of $120 expiring one year from now? Assume that the current risk free rate is 1%. What is the risk neutral probability of the stock being $150 one year from now?

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.