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- 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 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 optionWhat 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= $95, and buy a 1-year put option with X= $95. Your net outlay to establish the entire portfolio is $94. 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 rateAssume 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.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.)
- 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.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: 18.28You 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 optionConsider 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 .What is the value of a call option if the underlying stock price is $112, the strike price is $105, the underlying stock volatility is 39 percent, and the risk-free rate is 6.1 percent? Assume the option has 128 days to expiration. (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Call option $