Current stock price for XYZ Interest rate Dividend rate Option PUT PUT PUT PUT CALL CALL CALL CALL Strike $30 $40 $50 $50.75 $50 $50.75 $55 $60 Expiration 6-months 6-months 6-months 6-months 6-months 6-months 6-months 6-months $50 3% 0% Option price $0.14 $0.77 $2.74 $2.97 $3.48 $2.97 $1.20 $0.15 Implied Vol 40% 32% 22% 21% 22% 21% 19% 15% Delta (AOption/ AS) -0.023 -0.123 -0.431 -0.470 0.569 0.530 0.299 0.065 a) Recall the general formula (in terms of S(t), r, q, t, T) for the forward price of a stock for delivery date T: [Forward price for delivery date T] = S(t) * exp ((r — q) (T − t)) In this example, is the forward price for delivery in 6 months higher or lower than the current price of $50? b) The put-call parity relationship: [Price of K STRIKE CALL (Expiry T)] - [Price of K Strike PUT (Expiry T)] = [Value of Forward contact with invoice price K (Delivery date T)] Looking at the table. At what strike do the put and the call have the same value? Is this consistent with put-call parity?

Current stock price for XYZ Interest rate Dividend rate Option PUT PUT PUT PUT CALL CALL CALL CALL Strike $30 $40 $50 $50.75 $50 $50.75 $55 $60 Expiration 6-months 6-months 6-months 6-months 6-months 6-months 6-months 6-months $50 3% 0% Option price $0.14 $0.77 $2.74 $2.97 $3.48 $2.97 $1.20 $0.15 Implied Vol 40% 32% 22% 21% 22% 21% 19% 15% Delta (AOption/ AS) -0.023 -0.123 -0.431 -0.470 0.569 0.530 0.299 0.065 a) Recall the general formula (in terms of S(t), r, q, t, T) for the forward price of a stock for delivery date T: [Forward price for delivery date T] = S(t) * exp ((r — q) (T − t)) In this example, is the forward price for delivery in 6 months higher or lower than the current price of $50? b) The put-call parity relationship: [Price of K STRIKE CALL (Expiry T)] - [Price of K Strike PUT (Expiry T)] = [Value of Forward contact with invoice price K (Delivery date T)] Looking at the table. At what strike do the put and the call have the same value? Is this consistent with put-call parity?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Long 1 lot Syarikat XYZ stock @ RM 15Long 1, 3-month Syarikat XYZ put @ RM 0.15 B C D E Stock Price of maturity Value of long stock position Profit/loss to Long Put position @ 0.15 Value of combined position at maturity 4 10 -5000 4850 -150 5 11 -4000 3850 -150 6 12 -3000 2850 -150 7 13 -2000 1850 -150 8 14 -1000 850 -150 9 15 0 -150 -150 10 16 1000 -150 850 11 17 2000 -150 1850 12 18 3000 -150 2850 13 19 4000 -150 3850 14 20 5000 -150 4850 1. Based on table above Draw the payoff profile of combined positions and calculate: -Max Profit -Max Loss -Breakeven point
Use the Black-Scholes formula for the following stock: Time to expiration 6 months Standard deviation 42% per year Exercise price $44 Stock price $43 Annual interest rate 2% Dividend 0 Calculate the value of a call option. (Round to 2 decimal places.) Value of a call option ?
Current stock price for XYZ $50.00 Interestrate 3% Dividend rate 0% Option PUT PUT PUT PUT CALL CALL CALL CALL - Strike Expiration Option Price $30.00 6-months $40.00 6-months $50.00 6-months $50.75 6-months - $50.00 6-months $50.75 6-months $55.00 6-months $60.00 6-months $0.14 $0.77 $2.74 $2.97 $3.48 $2.97 $1.20 $0.15 Implied Vol 40% 32% 22% 21% 22% 21% 19% 15% Delta (AOption/AS) -0.023 -0.123 -0.431 -0.470 XYZ stock is currently trading at $50 per share. We ask our favourite trading desk to price a bunch of 6-month options on XYZ: 4 puts and 4 calls. The table above gives the information 0.569 0.530 0.299 0.065 For each option price we've run the price through the Black-Scholes formula and solved for implied volatility. The tables also gives the deltas: the derivative of each option price with respect to the stock price. As you know this means: Leave the implied volatility, the interest rate, and the dividend unchanged Change the current price of the stock by a small amount up and…
Intro A non dividend-paying stock currently trades at $80. You short sell one share of stock, buy a call option and write a put option, both with a strike price of $51. Your immediate cash inflow is $47.84. Both options expire in one year. Part 1 What is the risk-free rate? 3+ decimals
Long 1 lot Syarikat XYZ stock @ RM 15Long 1, 3-month Syarikat XYZ put @ RM 0.15 Stock Price of maturity Value of long stock position Profit/loss to Long Put position @ 0.15 Value of combined position at maturity 10 -5000 4850 -150 11 -4000 3850 -150 12 -3000 2850 -150 13 -2000 1850 -150 14 -1000 850 -150 15 0 -150 -150 16 1000 -150 850 17 2000 -150 1850 18 3000 -150 2850 19 4000 -150 3850 20 5000 -150 4850 1. Based on table above Draw the combined position graph and calcuate the: a. Max loss b. Max Profit c. Break even point
ABC Company's current stock price is $100. The risk-free rate is 4%. 38. The payoff to the holder of a call option on ABC with an exercise price of $200 is closest to: A. $100 if stock price at option expiration equals $200 B. Zero if stock price at option expiration equals $100 C. -S40 if stock price at option expiration equals $160
Use the Black-Scholes formula to find the value of a call option on the following stock: Time to expiration Standard deviation Exercise price Stock price Annual interest rate Dividend Value of the Call Option 6 months 60% per year $57 $64 38 0
Assume a stock price of $31.18, risk-free rate of 3.6 percent, standard deviation of 44 percent, N(₁) value of .62789, and an N(d₂) value of .54232. What is the value of a three-month call option with a strike price of $30 given the Black-Scholes option pricing model? Question 9 options: $3.38 $3.99 $3.68 $1.76 $3.45
The current price of a non-dividend-paying stock is $40. Over the next year it is expected to rise to $44 or fall to $36. An investor buys put options with a strike price of $41. What is the price of each option? The risk-free interest rate is 2% per annum (assume discrete compounding). a. $2.35 b. $1.76 c. $2.18 d. $1.96
Q7: TFS stock is eurrently trading at $17.25 per share. In 4 months it will either rise by 24.00% or fall by 20.00% with equal probability. A 4 month put option struck at $22.43 is trading at $2.59. The risk free rate is 5.50%. What is the expected profit or loss (at maturity) of the put option? A) $2.41 B) $1.32 C) $2.63 D) $1.87 E) $2.19
Straddle problem Given a stock with a current strike price of $25 and the following information; Write 1 ABC September 25 Calls @ 1Write 1 ABC September 25 puts @ 3 What is the total premium paid? (assume 1 contract = 100 shares) What is the maximum investor return? What is the maximum investor loss? Why do investors use straddles? If an investor buys a derivative position, are they long or short?
Solve a,b and c please You wish to create a synthetic equity position. You believe that the price of the stock will decrease over the next year. You have the following securities available to you to create this position. Note that all options are European and Beetroot Inc does not pay dividends. Current Value of Available Securities Beetroot Inc. Equity: $10.00 Call Premium: $ 5.31 Put Premium: $ 0.50 Strike for Call or Put: $14.00 Call and Put Expiration: 1 year Annual Risk-Free Rate (annually compounded): 3% per year a) Confirm that the put-call parity holds in this case. b)Specifically, identify the transactions that you will enter into to create your position? c)At expiration, the value of the equity will have increased or decreased. Show how your synthetic position will have the same payoff as a stock-only portfolio. Show this if Beetroot Inc’s equity if the equity value increases to $100 or decreases to $5.

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