| Using the Put-Call Parity relationship, find the value of a put option (same strike, expiration as the call option) using the following information: | ||||||
| Current stock price | $33 | risk-free rate | 6% | |||
| Call option strike price | $32 | Call option current value | $6.56 | |||
| Option time to maturity | 1 | years | ||||
According to call put parity theorem ,
Call price + [Strike price *e^-rt] = Put price +current price
6.56 + [32*e^-.06*1] = P + 33
6.56 + [32 * e^-.06] = P +33
6.56 + [32*.94176] = P +33
6.56 + 30.13632 = P +33
P = 36.69632 - 33
= 3.69632 (rounded to 3.70 )
**Find value of e ^-.06 using financial calculator
Using the Put-Call Parity relationship, find the value of a put option (same strike, expiration as...
9. Put-call parity and the value of a put option Aa Aa E Consider two portfolios A and B. At the expiration date, t, both portfolios have identical payoffs. Portfolio A consists of a put option and one share of stock. Portfolio B has a call option (with the same strike price and expiration date as the put option) and cash in the amount equal to the present value (PV) of the strike price discounted at the continuously compounded risk-free...
A put option and a call option on a stock have the same expiration date and the same exercise (or strike price). Both options expire in 6 months. Assume that put-call parity holds and interest rate is positive. If both call and put options have the same price, which of the following is true? A) Put option is in-the-money. B) Call option is in-the-money. C) Both call and put options are in-the-money. D) Both call and put options are out-of-the-money.
Suppose that a call option with a strike price of $48 expires in one year and has a current market price of $5.15. The market price of the underlying stock is $46.24, 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. 1. The price of a put option on the same underlying stock with a strike...
Put-Call Parity The current price of a stock is $35, and the annual risk-free rate is 3%. A call option with a strike price of $31 and with 1 year until expiration has a current value of $6.60. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option? Do not round intermediate calculations. Round your answer to the nearest cent. How do you calculate the negative...
Problem 1: - Using the Black/Scholes formula and put/call parity, value a European put option on the equity in Amgen, which has the following characteristics. Expiration: Current stock price of Amgen: Strike Price: Volatility of Amgen Stock price: Risk-free rate (continuously compounded): Dividends: 3 months (i.e., 60 trade days) $53.00 $50.00 26% per year 2% None If the market price of the Amgen put is actually $2.00 per share, is the above estimate of volatility higher or lower than the...
Given the following parameters use put-call parity to determine the price of a put option with the same exercise price. Current stock price: $48.00 Call option exercise price: $50.00 Sales price of call options: $3.80 Months until expiration of call options: 3 Risk free rate: 2.6 percent Compounding: Continuous A) Price of put option = $5.48 B) Price of put option = $4.52 C) Price of put option = $6.13
Given the following parameters use put-call parity to determine the price of a put option with the same exercise price. Show your work. Current stock price: $48.00 Call option exercise price: $50.00 Sales price of call options: $3.80 Months until expiration of call options: 3 Risk free rate: 2.6 percent Compounding: Continuous A) Price of put option = $5.48 B) Price of put option = $4.52 C) Price of put option = $6.13
Problem 22-8 Put-Call Parity A put option and a call option with an exercise price of $75 and three months to expiration sell for $1.35 and $5.70, respectively. If the risk-free rate is 4.4 percent per year, compounded continuously, what is the current stock price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Current stock price
A call option has a strike price of 30 in dollars, and a time to expiration of 0.1 in years. If the stock is trading for 85 dollars, N(d1) = 0.5, N(d2) = 0.4, and the risk free rate is0.04, what is the value of the call option?
A stock's current price is $72. A call option with 3-month maturity and strike price of $ 68 is trading for 6, while a put with the same strike and expiration is trading for $20. The risk free rate is 2%. How much arbitrage profit can you make by selling the put and purchasing a synthetic put? (Provide your answer rounded to two decimals.) You have purchased a put option for $ 11 three months ago. The option's strike price...