Let the required probability be p. So, the probability of the stock falling to $26 will be 1-p. So, the expected stock price today will be the weighted average according to the probabilities in the future. Hence,
36 x p + 26 x (1-p) = 30.
10p = 4
p = 0.4.
Let the required probability be p. So, the probability of the stock falling to $26 will be 1-p. So, the expected stock price today will be the weighted average according to the probabilities in the future. Hence,
36 x p + 26 x (1-p) = 30.
10p = 4
p = 0.4.
The current price of a non-dividend-paying stock is $30. Over the next six months it is...
The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume that the risk-free rate is 10%. What, to the nearest cent, is the value of a 6-month European call option on the stock with a strike price of $33?
The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $28. Assume the risk-free rate is 10%. What, to the nearest cent, is the price of a European put option with a strike price of $33?
The current price of a non-dividend-paying stock is $160. Over the next year it is expected to rise to $176 or fall to $154. Assume the risk free rate is 5% per year. An investor buys a European call option with a strike price of $162 per share. Assume that the option is written on 100 shares of stock. What stock position should the investor take today so that she would hold a riskless portfolio if it was combined with...
Q8-Part I (6 marks) The current price of a non-dividend-paying stock is $42. Over the next year it is expected to rise to-$44. or fall to $39. An investor buys put options with a strike price of $43. To hedge the position, should (and by how many) the investor buy or sell the underlying share (s) for each put option purchased? (6 marks) 08-Part II (9 marks) The current price of a non-dividend paying stock is $49. Use a two-step...
A long forward on a non-dividend-paying stock has six months to maturity. The risk free rate is 10% annually, the current stock price is $25, and the delivery price is $24. What is the value of forward contract today?
A long forward on a non-dividend-paying stock has six months to maturity. The risk free rate is 10% annually, the current stock price is $25, and the delivery price is $24. What is the value of forward contract today?
The current price of a non-dividend-paying stock is 30. The volatility of the stock is 0.3 per annum. The risk free rate is 0.05 for all maturities. Using the Cox-Ross-Rubinstein binomial tree model with two time steps to do the valuation, what is the value of a European call option with a strike price of 32 that expires in 6 months?
Problem 1. 1. Calculate the price of a six-month European put option on a non-dividend-paying stock with an exercise price of $90 when the current stock price is $100, the annualized riskless rate of interest is 3%, and the volatility is 40% per year. 2. Calculate the price of a six-month European call option with an exercise price on this same stock a non-dividend-paying stock with an exercise price of $90. Problem 2. Re-calculate the put and call option prices...
The current stock price of a non-dividend-paying stock is $50, the risk-free interest rate is 10% per annum, and the volatility is 30% per annum. a) According to the BSM model what is the price of a three-month European put option with a 2. strike of $50? What would be the price of this option if the stock is expected to pay a dividend of $1.50 in two months? b)
Consider a six-month forward contract on a non-dividend paying stock. Assume the current stock price is $50 and the risk-free interest rate is 7.84% per annum with continuous compounding. Suppose the price of this six-month forward price is $53.50. Show that it creates an arbitrage opportunity? Write down the complete strategy for an arbitrageur --- you must list down all the actions that are required now and later and demonstrate how arbitrageur earns a risk-less profit.