What is the implied volatility of a European call option with the following parameters? c = $3 s0 = $40 k = 41 r = 10% T = 0.5 years (Enter 11.51% as 0.1151. Required precision +/- 0.0002)
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- ?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 0.3668The below call option is European. What is the minimum arbitrage profit at time T=1Y arising from the following prices? So = $19.63 T=1Y K = $18 C = $2.77 r = 6% (cont. comp. annual rate) (required precision 0.01 +/- 0.01)The continuously compounded interest rate on 5-year default-free Australian dollar-denominated bonds is 0.5% per annum. The continuously compounded interest rate on 5-year default-free Euro- denominated bonds is 0.2% per annum. There are no transactions costs. The current exchange rate is $1.50 Australian for 1 Euro. There will be arbitrage opportunities unless a 5-year European-style put option on 50,000 Euro with an exercise price of $90,000 is worth at least O $13,528.88 O $12,777.89 O 557.413.10 O $16,524.60 O $13,524.15
- 1. Suppose that, in each period, the cost of a security either goes up by a factor of u = 2 or down by a factor d = 1/2. Assume the initial price of the security is $100 and that the interest rate r is 0. c) Assuming the strike price of a European call option on this security is $90, compute the possible payoffs of the call option given that the option expires in two periods.Assume that K=61, St =65, t = 0.25 (i.e. time to expiry is 3 months), and the risk-free rate is 0.04. The current price of the put option is p = 4. What would the price of the call option ‘c’ need to be for put-call parity to hold?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 %3D
- find a formula for the price of European call option. if R=0 and S=(0)=X=1. Compute the price for U=0.01 and D=-0.19Use the following data to estimate the value of a European put option with X = $120. The current stock price now is SO = $100. The two possibilities for ST are $150 and $80. If the risk-free rate is 10%, estimate the value of the put option now. a. P0 = $0 b. P0 = $40 c. P0 = $20.78 d. P0 = $22.86Consider a European call option struck "at-the-money", meaning the strike price equals current stock price. There is one year until expiration and the risk-free annual interest rate is r = 0.06. We define the call option's "delta" as aCE(S,t) A as Is it possible to determine whether or not the call option's delta is greater than or less than 0.5?
- Question I: 4%, and re = 3%, u = 1.2, d 0.9, T = 0.75, Suppose that the exchange rate is $0.92/€. Let r's number of binomial periods = 3, and K = $0.85. Use Binomial Option pricing to answer the following two questions. (a) What is the price of a 9-month European call? (b) What is the price of a 9-month American call? Question II: Use the same inputs as in the previous (first) question, except that K = $1.00. 1 (a) What is the price of a 9-month European put? (b) What is the price of a 9-month American put?Question Il: Suppose that the exchange rate is $0.92/e. Let rs = 4%, and re = 3%, u = 1.2, d = 0.9, T = 0.75, number of binomial periods = 3, and K = $1.00 Use Binomial Option pricing to answer the following two questions. (a) What is the price of a 9-month European put? (b) What is the price of a 9-month American put?Question Il: Suppose that the exchange rate is $0.92/e. Let rs= 4%, and re= 3%, u = 1.2, d = 0.9, T = 0.75, number of binomial periods = 3, and K = $1.00 Use Binomial Option pricing to answer the following two questions. (a) What is the price of a 9-month European call? (b) What is the price of a 9-month American call?