Question

In: Finance

Consider a two-period binomial tree model with u = 1.05 and d = 0.90. Suppose the...

Consider a two-period binomial tree model with u = 1.05 and d = 0.90. Suppose the per-period interest rate is 2%. Suppose the initial stock price is $100. Consider $95-strike call and put options on this stock. Which of the following statement is false based on above information?

The put premium is $12.01

Possible payoffs of a call at the end of the two periods are $14.25, $0, and $0

Possible payoffs of a put at the end of the two periods are $14, $0.5, and $0

The call premium is $10.28

Solutions

Expert Solution

ANSWER IN THE IMAGE ((YELLOW HIGHLIGHTED). FEEL FREE TO ASK ANY DOUBTS. THUMBS UP PLEASE. THUMBS UP PLEASE.

ALL FOUR OF THEM ARE FALSE.

TRUTH:

The put premium is $0.41

Possible payoffs of a call at the end of the two periods are $15.25, $0, and $0

Possible payoffs of a put at the end of the two periods are $0, $0, and $4.75

The call premium is $9.38


Related Solutions

Consider a two-period binomial model with u=1.2 and d=0.85. What is the current equilibrium price of...
Consider a two-period binomial model with u=1.2 and d=0.85. What is the current equilibrium price of a call with a strike price of $20.00, if shares of stock are currently trading at $20, and the one-period risk free rate is 4%?
a) Consider a one period binomial model with S(0) = 100, u = 1.2, d =...
a) Consider a one period binomial model with S(0) = 100, u = 1.2, d = 0.9, R = 0, pu = 0.6 and pd = 0.4. Determine the price at t = 0 of a European call option X = max{S(1) − 104, 0}. b) If R > 0, motivate why the inequality (1 + R) > u would lead to arbitrage.
Consider a multiplicative binomial model with N = 3, r = 0, u = 1.2, d...
Consider a multiplicative binomial model with N = 3, r = 0, u = 1.2, d = 0.8 and S 0 = 100. At time t = 1 when S 1 = 120 a (european) call option with maturity at T = 3 and struck at 100 is quoted at 25. Is that a fair value? If yes explain why? If not explain why and explicitly define an arbitrage strategy (you have to give details of the arbitrage strategy)
Consider a multiplicative binomial model with N = 3, r = 0, u = 1.2, d...
Consider a multiplicative binomial model with N = 3, r = 0, u = 1.2, d = 0.8 and S 0 = 100. At time t = 1 when S 1 = 120 a (european) call option with maturity at T = 3 and struck at 100 is quoted at 25. Is that a fair value? If yes explain why? If not explain why and explicitly define an arbitrage strategy (you have to give details of the arbitrage strategy)
Calculate u, d and p when a binomial tree is constructed to value an option on...
Calculate u, d and p when a binomial tree is constructed to value an option on a foreign currency. The tree step size is one month, the domestic interest rate is 0.50% per annum, the foreign interest rate is 0.10% per annum, and the volatility is 12% per annum. Use a three step binomial tree to value a 3m European call option on EUR/USD when spot is 1.08 $ per €, strike is 1.10 $ per €.
PLEASE can u demonstrate the binomial tree model for this question! And tell me how to...
PLEASE can u demonstrate the binomial tree model for this question! And tell me how to work out the payoffs for the 2 period put!! Thanks Q- The current price of Excel Network Systems stock is £60 per share. In each of the next two years the stock price will either increase by 20% or decrease by 10%. The 3% one year risk free rate of interest will remain constant. Calculate the price of a two year European put option...
Suppose that stock price moves up by 5% (u=1.05) and d=1/u. The current stock price is...
Suppose that stock price moves up by 5% (u=1.05) and d=1/u. The current stock price is $50. Dividend is zero. Compute the current value of a European call option with the strike price of $51 in 3 months using both replicating portfolio valuation method and the risk neutral valuation method. The risk free rate is APR 5% with continuous compounding (or, 5% per annum) 1. Draw the dynamics of stock price and option price using the one step binomial tree....
Consider a two-period binomial model in which a stock currently trades at a price of K65....
Consider a two-period binomial model in which a stock currently trades at a price of K65. The stock price can go up 20 percent or down 17 percent each period. The risk-free rate is 5 percent. (i)         Calculate the price of a put option expiring in two periods with an exercise price of K60. (ii)        Calculate the price of a call option expiring in two periods with an exercise price of K70.
Consider a two-period binomial model in which a share currently trades at a price of R160....
Consider a two-period binomial model in which a share currently trades at a price of R160. The share price can go up or down by 10% each period. The risk-free rate is 7 percent. Calculate the price of the European call and American put options expiring in two periods with an exercise price of R145 and R148 respectively.
Consider a two-period binomial model in which a stock currently trades at a price of K65....
Consider a two-period binomial model in which a stock currently trades at a price of K65. The stock price can go up 20 percent or down 17 percent each period. The risk-free rate is 5 percent. Calculate the price of a put option expiring in two periods with exercise price of K60.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT