This is a two state option pricing question. The riskfree rate is zero. Current stock price is 95. The up state stock price is 117, down state 80. A put option on this stock has a time O price of 8. Then the strike price of the put is (keep 2 decimal places).

Assume that the value of a call option using the Black-Scholes model is $8.94. The interest rate is 8 percent, and the time to maturity is 90 days. The price of the underlying stock is $47.38, and the exercise price is $45. Calculate the price of a put using the put-call parity relationship.

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?

A 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.

Suppose you construct a strategy based on options on a stock that is currently selling for $100. The strategy is as follows: Buy one call option having an exercise price of $95. Sell two calls having an exercise price of $100. Buy one call option having an exercise price of $105. All of the options are written on the same stock and all have the same expiration date. Compute the payoff (the dollars you receive) from this strategy at the expiration date for each of the following alternative stocks prices: $90, $95, $98, $100, $102, $105, and $110. What additional information would be required to determine whether your strategy had been profitable? What is the name of this strategy?

In a binomial model, a call option and a put option are both written on the same stock. The exercise price of the call option is 30 and the exercise price of the put option is 40. The call option’s payoffs are 0 and 5 and the put option’s payoffs are 20 and 5. The price of the call is 2.25 and the price of the put is 12.25.  a. What is the riskless interest rate? Assume that the basic period is one year. b. What is the price of the stock today?

You are using a two-step binomial tree to estimate the price of a put option on MCD. The strike price of the put option is $22. The price of MCD today is $32. The risk-free rate is 5%. What is the price of the put? Round your solution to the nearest three decimals if needed (Le. 2.312). Please do not type the $ symbol. u-3 d= 0.59 Click on the arrow next to the file below. Next, create a new sheet in the Respondus LockDown Browser spreadsheet. You can use this blank spreadsheet to calculate the answer. Blank Spreadsheet.xisx

A PUT and a CALL option are written on a stock with a strikeprice of $60. The options are held until expiration.   Suppose the stock price at expiration is $75. Call premium is $16 and Put premium is $3. The CALL option will ___ because the call is ___. But the PUT option will ___ because the put is ___, with a TIME VALUE of ___.a) Be exercised; in-the-money; not be exercised; out-of-the-money; zerob) not be exercised; out-of-the-money; be exercised; in-the-money; zeroc) Be exercised; in-the-money; not be exercised; out-of-the-money; 1d) Be exercised; in-the-money; be exercised; in-the-money; zeroe) None of the above is correct

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?

In each of the following questions, you are asked to compare two options with parameters as given. The risk-free interest rate for all cases should be assumed to be 6%. Assume the stocks on which these options are written pay no dividends. Required: C.   Which call option must have the lower time to expiration? Call S X σ Price of Call A $50 $50 0.20 $12 B 55 50 0.20 10   E.  Which call option is written on the stock with higher volatility? Call T X S Price of Call A 0.5 $50 $55 $10 B 0.5 55 55 7   multiple choice 5 A B Not enough information                 multiple choice 3 A B Not enough information