The options on the stock of the Petronas Gas Berhad have the following input values: Stock price = $55 Strike price = $52 Risk-free rate = 0.10 Standard deviation = 0.33 Time to maturity = 0.4 (Assume that no dividends are currently being paid and use BSOPM model) If risk-free rate rises to 0.12, determine the price of a call on Petronas Gas's stock if the other inputs do not change. Assume no dividends. a. $6.80 b. $7.90 c. $7.25 d. $7.61
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The options on the stock of the Petronas Gas Berhad have the following input values:
Stock price = $55
Strike price = $52
Risk-free rate = 0.10
Standard deviation = 0.33
Time to maturity = 0.4
(Assume that no dividends are currently being paid and use BSOPM model)
If risk-free rate rises to 0.12, determine the price of a call on Petronas Gas's stock if the other inputs do not change. Assume no dividends.
a. $6.80
b. $7.90
c. $7.25
d. $7.61
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- In this problem we assume the stock price S(t) follows Geometric Brownian Motion described by the following stochastic differential equation: dS = µSdt + o Sdw, where dw is the standard Wiener process and u = 0.13 and o = current stock price is $100 and the stock pays no dividends. 0.20 are constants. The Consider an at-the-money European call option on this stock with 1 year to expiration. What is the most likely value of the option at expiration? Please round your numerical 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.You are given the following information on some company's stock, as well as the risk- free asset. Use it to calculate the price of the call option written on that stock, as well as the price of the put option. (HINT: You should use the Black-Scholes formula!) (Do not round intermediate calculations and round your final answers to 2 decimal places, e.g., 32.16.) Today's stock $72 price Exercise price = $70 Risk-free rate = deviation of Option maturity = 4 months Standard annual stock returns = Call price Put price 4.3% per year, compounded continuously = 61% per year
- You are given the following information on some company's stock, as well as the risk- free asset. Use it to calculate the price of the call option written on that stock, as well as the price of the put option. (HINT: You should use the Black-Scholes formula!) (Do not round intermediate calculations and round your final answers to 2 decimal places, e.g., 32.16.) Today's stock = $74 price Exercise price = $70 Risk-free rate = Option maturity = 4 months Standard deviation of annual stock returns 4.4% per year, compounded continuously Call price Put price = 62% per yearYou are given the following information on some company's stock, as well as the risk- free asset. Use it to calculate the price of the call option written on that stock, as well as the price of the put option. (HINT: You should use the Black-Scholes formula!) (Do not round intermediate calculations and round your final answers to 2 decimal places, e.g., 32.16.) Today's stock = $86 price Exercise price = $85 Risk-free rate = Option maturity = 4 months Standard deviation of 5% per year, compounded continuously annual stock returns = 62% per yearConsider an european call option on a stock that is not paying dividends with the following characteristics. (i) The stock price at t = 0 is S = $30. (ii) The stricke price is $31. (iii) The volatility of the stock is 20%. (iv) The free risk interest rate is 7%. Construct a 2 period recombining Binomial tree diagram and specty tne varue or the can optron at eacn node of the tree diagram.
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