Question Two (a) A six-month European Call option on a non-dividend paying Stock Index has a strike price of $4900. The index price is $5000, the risk-free rate is 5% per annum, and the value of u and d are 1.06 and 0.94, respectively. Use a two-step binomial tree to calculate the option price.
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- A European put option with strike price $26.00, the underlying asset S (0) is $26 and the return over each period R=1.06. CRR notation d=0.8 and u=1.25 Construct a three-step binomial pricing tree for the European put option and calculate the premium.1. Using the following three-step binomial tree to compute the price of an European call option with strike price $90 and T = 6 months. The initial price for the underlying stock 3. d =/. 0.05 per annum. St 2 months. u = = is $80. r = 80 180 04 125 156.25 100 + 40.96 Figure 2.10: A binomial treePut–Call Parity The current price of a stock is $33, and the annual risk-free rate is 6%. A call option with a strike price of $32 and with 1 year until expiration has a current value of $6.56. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option?
- Question 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).Using put-call parity formula, derive expressions for the lower bounds for European call and put options. What is a lower bound for the price of (i) a three-month call option on a non-dividend-paying stock when the stock price is R860, the strike price is R760, and the risk-free interest rate is 10% per annum? (ii) a three-month European put option on a non-dividend-paying stock when the stock price is R500, the strike price is R610, and the discrete risk-free interest rate is 9% per annum?Suppose the following for European options: Stock price $94 3-month call options with strike price $97 3-month put option with strike price $98 1-year risk-free rate is 3%. The put option is trading ot $5 and there is an identical call option that is trading for $4. The arbitrage gain that can be made is equal to: O a. $2.00 b. $0.27 Oc. $3.00 O d. $1.27 O e $227
- Consider a European call option on a non-dividend paying stock with exercise price 100 USD and expiration time in one year. Interest rate is 1 percent and the price of the stock today is 75 USD. For what price of the option is the Black-Scholes implied volatility equal to 0.35 Use excelA European call option with an exercise price of $40 has a maturity (expiration) of six months, stock price of $44 and the standard deviation of the stock returns 0.8. The risk-free rate is 8.5%. Calculate the value of d2 (approximately). Select one: a. +0.04324 b. +0.03923 c. -0.04324 d. -0.03923Question 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 $10.1
- Give typing answer with explanation and conclusion What is the lower bound for the price of a 7-month European call option on a non-dividend-paying stock when the stock price is $44.02, the strike price is $39, and the risk-free interest rate is 1.3% per annum? Report your answer in dollars and cents.Assume that the two-period Binomial Option Pricing model holds (n=2), with the following information (t = 1 year, S = $40, u = 1.1, d =0.9, K= $45, and r = 10%). What is the value of this * ?European call option %3D %3DQUESTION: 2. What is the fair value for a six-month European call option with a strike price of $135 over a stock which is trading at $138.15 and has a volatility of 42.5% when the risk free rate is 1.85% using the two step binomial tree? a) What is the delta of this option? b) What is the probability of an up movement in this stock? c) What is the probability of a down movement in this stock? d) What is the proportional move up for this stock e) What is the proportional move down for this stock f) What would be the value of the put option with the same strike price?