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- What is the value of a put option if the underlying stock price is $44, the strike price is $37, the underlying stock volatility is 49 percent, and the risk-free rate is 5.6 percent? Assume the option has 137 days to expiration. (Use 365 days in a year. Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of a put optionSnyder purchased a call option on a stock (non-dividend). The time to maturity is 0.4 years. The stock price is $49, the strike price is $56, the risk-free rate is 0.03 as a decimal, and the volatility is 0.1 as a decimal. What is the gamma of the option, rounded to three decimal places?Suppose a put option is traded at $3. The underlying stock of the option is traded at $105 per share at the same time. The option expires in 3 months and has a strike price of $104. What is the intrinsic value of the option? Is the option in the money, at the money, or out of the money?
- What is the value of a call option if the underlying stock price is $71, the strike price is $73, the underlying stock volatility is 35 percent, and the risk-free rate is 4.8 percent? Assume the option has 132 days to expiration. (Use 365 days in a year. Do not round intermediate calculations. Round your answer to 2 decimal places.)You buy a share of stock, write a 1-year call option with X = $55, and buy a 1-year put option with X = $55. Your net outlay to establish the entire portfolio is $54. The stock pays no dividends. a. What is the payoff of your portfolio? Payoff b. What must be the risk-free interest rate? (Round your answer to 2 decimal places.) Risk-free rate %Suppose that a call option with a strike price of $48 expires in one year and has a current market price of $5.17. The market price of the underlying stock is $46.25, and the risk-free rate is 1%. Use put-call parity to calculate the price of a put option on the same underlying stock with a strike of $48 and an expiration of one year. The price of a put option on the same underlying stock with a strike of $48 and an expiration of one year is $. (Round to the nearest cent.)
- Assume that you hold a call option on stock A. The call has a strike price of 50 and expires in 6 months. Stock A pays no dividends. 1. What is the payoff from the call if stock A is trading at 57 in 6 months? 2. What is the payoff from the call if stock A is trading at 45 in 6 months? 3. Draw a payoff diagram that shows the payoff of the call as a function of the underlying stock price.Consider an American put option (K=$100) expiring in one year on a stock trading for $84. The return volatility on the stock is 27.3% and the riskless rate is 5%. Find the price of the option using a Binomial Model with two steps. (Respond with two decimal places, such as "-12.34") 26.59 Correct Answer: 18.28Consider shorting a call option c on a stock S where S = 24 is the value of the stock, K = 30 is the strike price, T = ½ is the expiration date, r = 0.04 is the continuously compounded interest rate per year, and = 0.3 is the volatility of the price of the stock. Determine the delta ratio Δ .
- 3. A stock sells for $110. A call option on the stock has an exercise price of $105 and expires in 43 days. If the interest rate is 0.11 and the standard deviation of the stock’s return is 0.25. a) Calculate the call using the Black-Scholes model b) What would be the price of a put with an exercise price of $140 and the same time until expiration? c) How does an increase in the volatility and interest rate changes affect the underlying stock’s return on an option’s value? Explain.You buy a share of stock, write a one-year call option with X = $26, and buy a one-year put option with X = $26. Your net outlay to establish the entire portfolio is $24.60. What is the payoff of your portfolio? What must be the risk-free interest rate? The stock pays no dividends. (Do not round intermediate calculations. Round "risk-free rate" to 2 decimal places.)What is the value of a call option if the underlying stock price is $61, the strike price is $65, the underlying stock volatility is 59 percent, and the risk-free rate is 3 percent? Assume the option has 78 days to expiration. (Use 365 days in a year. Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of a call option