a) Consider 3 month options with exercise prices of 45 TL. The variance of the underlying security is 0.20. The risk free interest rate is 6%. The current price of the underlying security is 30 TL. Determine the Black Scholes prices for call and put options.
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- D3) Finance What is the probability that the put option is OTM at maturity if: the Stock is S = $195.00, no dividend is paid, the risk-free rate is r = 2.40%, the strike price is K = 209.00, the maturity is T = 23 months and the parameters are d1 = 0.2328 and d2 = -0.3175?b) Suppose you are given the following information: Current market price of a share= R200 000 Option’s exercise price = R300 000 Time until the option expires= 5 yrs Risk free rate =4% Standard deviation of the returns on the share= 0.35 Required: i. Calculate d1 and d2 ii. Suppose N(d1) =0.7517 and N(d2) =0.4602; calculate the price of the call option on the shareA call option with X = $50 on a stock currently priced at S = $55 is selling for $10. Using a volatility estimate of σ = .30, you find that N(d1 ) = .6 and N(d2 ) = .5. The risk-free interest rate is zero. Is the implied volatility based on the option price more or less than .30? Explain.
- A call option with X = $55 on a stock priced at S = $60 is sells for $12. Using a volatility estimate of σ = 0.35, you find that N(d1) = 0.7163 and N(d2) = 0.6543. The risk-free interest rate is zero. Is the implied volatility based on the option price more or less than 0.35?1) The stock price is $30, the strike price is $30, the risk free rate is 6% per annum, the volatility is 20% per annum and the time to maturity is 9 months. Assume a 3 stop binomial model a) What is the delta of the call? Delta of the put? a) What is the price of the call option?1. What must be the beta of a portfolio with E(rP) = 13.5%, if rf = 3% and E(rM) = 9%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) 2. The market price of a security is $90. Its expected rate of return is 12%. The risk-free rate is 6% and the market risk premium is 9.6%. What will be the market price of the security if its correlation coefficient with the market portfolio doubles (and all other variables remain unchanged)? Assume that the stock is expected to pay a constant dividend in perpetuity. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
- You are evaluating a put option based on the following information: P = Ke-H•N(-d,) – S-N(-d,) Stock price, So Exercise price, k = RM 11 = RM 10 = 0.10 Maturity, T= 90 days = 0.25 Standard deviation, o = 0.5 Interest rate, r Calculate the fair value of the put based on Black-Scholes pricing model. Cumulative normal distribution table is provided at the back.Consider the following data for a certain share. Current Price = S0 = Rs. 80 Exercise Price = E = Rs. 90 Standard deviation of continuously compounded annual return = \sigma = 0.5 Expiration period of the call option = 3 months Risk – free interest rate per annum = 6 percent a. What is the value of the call option? Use the normal distribution table. b. What is the value of a put option?Required: The market price of a security is $56. Its expected rate of return is 12%. The risk-free rate is 5%, and the market risk premium is 9%. What will the market price of the security be if its beta doubles (and all other variables remain unchanged)? Assume the stock is expected to pay a constant dividend in perpetuity. (Round your answer to 2 decimal places.) > Answer is complete but not entirely correct. Market price $ 36.37 X
- The market price of a security is $52. Its expected rate of return is 12.1%. The risk-free rate is 4%, and the market risk premium is 7.3%. What will be the market price of the security if its correlation coefficient with the market portfolio doubles (and all other variables remain unchanged)? Assume that the stock is expected to pay a constant dividend in perpetuity. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Market price(d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates ofreturn of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.Consider the following data for a certain share. Current Price = So = Rs. 80 Exercise Price = E = Rs. 90 Standard deviation of continuously compounded annual return = 0 = 0.5 Expiration period of the call option 3 months Risk – free interest rate per annum = 6 percent a. What is the value of the call option? Use the normal distribution table. b. What is the value of a put option?