Consider a two-period binomial model for a stock with current price being $2 and with the up movement u = 2 and the down movement d = 1/2. If the interest rate per period is 25%, then price of the European put option with a strike price of $2.5 is given by 25 cents 33 cents 48 cents 67 cents
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- Question 3 We are using a two-step binomial tree to price a 6-month European put option with a strike price of $60. The current stock price is $50, the risk-free rate is 3% for all maturities. At each step, the price can increase or decrease by 20%. The continuously compounded dividend yield is 3%. What is the option price today? $9.7 $12.8 $13.9 $10.1D3 Finance Consider the data on European put option, as described below. stock price today: 5.03 exercise price: 5.00 Maturity: One year risk free interest rate: 0.4822% per annum stock prices may either go up by 57.04% or down by 36.32% between now and the maturity. (i) use a one-period binomial tree approach to value the put option (ii) replicate an investment in the stock by a combination of the put option and risk-free lending.Question 3 The quoted futures price corresponds to a forward rate of 8% per annum with quarterly compounding and actual/360. The parameters for Black’s model are therefore: Fk = 0.08, K= 0.08, R= 0.075, σk = 0.15, tk = 0.75 and P(0,tk+1) = e-0.075*1 =0.9577 Use these information to estimate the call price.
- aa.3 Consider a two-period binomial model, where each period is 6 months. Assume the stock price is $50.00, = 0.20, r = 0.06 and the dividend yield = 3.5%. What is the lowest strike price where early exercise would occur with an American put option?Question 2 (a) Use the Black-Scholes formula to find the current price of a European call option on a stock paying no income with strike 60 and maturity 18 months from now. Assume the 20%, and the constant current stock price is 50, the lognormal volatility of the stock is a = continuously compounded interest rate is r 10% (b) Repeat part (a) for a European put with strike 60 and maturity 18 months from nowQuestion 5 Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise price is $29, the risk-free interest rate is 5% per annum, the volatility is 25% per annum, and the time to maturity is four months. What is the price of the option if it is a European call? b. What is the price of the option if it is a European put? c. Verify that put-call parity holds. a.
- Question 3 The quoted futures price corresponds to a forward rate of 8% per annum with quarterly compounding and actual/360. The parameters for Black’s model are therefore: Fk = 0.08, K= 0.08, R= 0.075, σk = 0.15, tk = 0.75 and P(0,tk+1) = e-0.075*1 =0.9577 Use these information to estimate the call price with mathematical formulars.Suppose a stock is currently trading for $35, and in one period it will either increase to $38 or decrease to $33. If the one-period risk-free rate is 6%, what is the price of a European put option that expires in one period and has an exercise price of $35? $0.51 $2.32 $1.55 $3.00 $0.76QUESTION 3 Suppose you are attempting to value a one-year maturity option on a stock with volatility of 20% What would be the appropriate value for the down factor (d) if your binomial model is set up using 4 sub-periods (quarterly)? 0.946 O 0.869 0.942 0.827
- ?Q.19 Consider a European call option with the following parameters: Assuming a risk-free annual rate of 8%, what is the probability that the option will be exercised in a risk- neutral world? (If required, use the table at the beginning of the document for statistical calculations.) Strike price USD 48 Expiration 6 months Underlying's Price USD 50 Annual volatility 25% A B C 0.70 0.5761 0.6443 D 0.3668Question 1 Help = 1. Find the expected profit for a holder of a European call option with K = 94 to be exercised in six months if the stock price at maturity is ST (90, 96, 98) with probabilities p = (1, 1, 1), given that the option is bought for Co= 10 financed by a loan at the interest rate of 10% (per annum).Question 5 Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise price is $29, the risk-free interest rate is 5% per annum, the volatility is 25% per annum, and the time to maturity is four months. a. What is the price of the option if it is a European call? b. What is the price of the option if it is a European put? c. Verify that put-call parity holds. ●