14. Suppose a call option sells for $2.50, a put option sells for $2.00,both options have a $25.00 striking price, the current stock priceis $25.50, and the options both expire in forty-six days. Using theput-call parity model, calculate the rate of interest implied in thesenumbers.7

The put-call parity equation for European options states that the sum of the price of a call option…

Answered: 14. Suppose a call option sells for…

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter5: Financial Options

Section: Chapter Questions

Problem 4P: Put–Call Parity The current price of a stock is $33, and the annual risk-free rate is 6%. A call...

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Suppose you write the following put option (1 option, not 1 contract containing 100 options). What is the payoff and profit at expiration if the stock price is $75? Put Strike Symbol 80 ABC210621C00040000 Last 3.32 a. payoff is -5.00; profit is 1.68 X b. payoff is -5.00; profit is 3.32 c. payoff is 0; profit is 0 d. payoff is -5.00; profit is -1.68 e. payoff is 0; profit is -3.32 Chg 1.47
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.
Using put-call parity, if the price of an At-the-Money Call option maturing in 1 day is $3.14, what is the price of an of an At-the-Money Put option maturing in 1 day (give an approximation)? A. $0.95 B. $2.86 C. $3.14 D.$3.26
4. Consider a call option on the S&R index with 6 months to expiration and a strike price of $1000. Suppose that the effective rate compounded semiannually is 2% and the premium for this call is $93.81. (a) Draw the payoff and profit graphs for the call option holder. (b) If the S&R index price at expiration is $1100, will the owner exercise this option? What is the profit? (c) If the S&R index price at expiration is $900, will the owner exercise this option? What is the profit?
13. Consider a coupon bond with coupon payment=4.25, M=100, and n=2. Suppose ?1 = 4% and ?2 = 4.24%. Consider a forward contract for the delivery of the coupon bond in one period from today. Calculate the forward price using the following two approaches: 1) use the forward rate to price the forward contract; 2) use the cost of carry approach: spot-forward parity adjusted for the coupons.
Answer all
Q4 (Exercise 12.3) Let S = $100, K = $120, σ = 30%, r = 0.08, and 8 = 0. a. Compute the Black-Scholes call price for 1 year to maturity and for a variety of very long times to maturity (use T=1, 2, 5, 10, 50, 100, 500). What happens to the option price as T → ∞o? b. Set 8 = 0.001. Repeat (a). Now what happens to the option price? What accounts for the difference?
You buy a 55-strike call for $3.45. What is the breakeven price of the underlying?
am. 116.
3. Suppose that a June put option to sell a share for $60 costs $4 and is held until June. (a) short position) make a profit? Under what circumstances will the seller of the option (i.e., the party with a (b) Under what circumstances will the option be exercised? (c) depends on the stock price at the maturity of the option. Draw a diagram showing how the profit from a short position in the option
Vi.
Consider a European Call Option with a strike of 82. The current price of the underlying asset is 80, and the time to expiry is 5 months. The current market price of the option is 6.22. The risk-free rate is 4.1%. (a) Find the implied volatility of the underlying. Provide all necessary calculations.

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