EBK FUNDAMENTALS OF CORPORATE FINANCE
9th Edition
ISBN: 9781260049237
Author: BREALEY
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 23, Problem 10QP
a)
Summary Introduction
To discuss: The investment packages offered with this combination of payoffs.
b)
Summary Introduction
To compute: The cost of investment package in 2015 December.
c)
Summary Introduction
To discuss: Whether person X hold this package when the price of stock A not likely to alter.
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2) Below are call and put option prices for Exxon, expiring on November 17, 2017. The prices are from
September 8, 2017. The price of the stock on September was $78.81. Given all this, what annual interest
rate is implies by these prices?
Some hints:
Use put-call parity, and the exponential formula for the price of money.
There will be several implied interest rates, one for each strike price.
You have to take a natural logarithm to calculate the answers.
The natural log of exp(A)=A.
Calculate interest rates to five digits
Strike
Price
75
77.5
80
82.50
85
Put
Call
Price Price
4.61
2.69 1.64
1.30
0.94
0.51
2.90
4.84
0.16 8.90
Consider the following options portfolio. You write an August expiration call option on IBM with exercise price $150. You write an August IBM put option with exercise price $145.a. Graph the payoff of this portfolio at option expiration as a function of IBM’s stock price at that time.b. What will be the profit/loss on this position if IBM is selling at $153 on the option expiration date? What if IBM is selling at $160? c. At what two stock prices will you just break even on your investment?d. What kind of “bet” is this investor making; that is, what must this investor believe about IBM’s stock price to justify this position?
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?
Chapter 23 Solutions
EBK FUNDAMENTALS OF CORPORATE FINANCE
Ch. 23 - Prob. 1QPCh. 23 - Prob. 2QPCh. 23 - Prob. 3QPCh. 23 - Prob. 4QPCh. 23 - Prob. 5QPCh. 23 - Prob. 6QPCh. 23 - Prob. 7QPCh. 23 - Prob. 8QPCh. 23 - Prob. 9QPCh. 23 - Prob. 10QP
Ch. 23 - Prob. 11QPCh. 23 - Prob. 12QPCh. 23 - Prob. 13QPCh. 23 - Prob. 14QPCh. 23 - Prob. 15QPCh. 23 - Prob. 16QPCh. 23 - Prob. 17QPCh. 23 - Prob. 18QPCh. 23 - Prob. 22QPCh. 23 - Prob. 23QPCh. 23 - Prob. 24QPCh. 23 - Prob. 25QPCh. 23 - Prob. 26QPCh. 23 - Prob. 27QPCh. 23 - Prob. 28QPCh. 23 - Prob. 29QPCh. 23 - Prob. 30QPCh. 23 - Prob. 31QP
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- Suppose you buy a one-year European call option on Apple with an exercise price of $100 and sell a one-year put option with the same exercise price. The current stock price is $100, and the interest rate is 10%. Draw a position diagram showing the payoffs from your investments. How much will the combined position cost you?arrow_forwardA call option with a strike price of $100 costs $5. A put option with a strike price of $85 costs $4. Explain how a strangle can be created from these two options. What is the cost of this strategy? When should I exercise my options? For what range of future stock prices would the strategy lead to a gain and what is the maximum gain you can receive? Prove your answer by providing an example. 5 For what range of future stock prices would the strategy lead to a loss and what is the maximum loss you could sustain? Prove it by giving an example.arrow_forwardConsider a put option on a stock that currently sells for £100, but may rise to £120 or fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90. (a) Calculate the value of the put option using the risk-neutral valuation relationship (RNVR). Explain the reasoning behind your calculations.arrow_forward
- Saved a. You have just purchased the options listed below. Based on the information given, indicate whether the option is in the money, out of the money, or at the money, whether you would exercise the option if it were expiring today, what the dollar profit would be, and what the percentage return would be. (Enter "O" if there is no profit or return from not exercising the option. Round your answer to 2 decimal places.) Today's Stock In/Out of the Company Option Strike Price Money? (Click to select) Premium Exercise? Profit Return eBook АВС Call 10 $10.26 1.06 (Click to select) v АВС Put 10 $10.26 0.91 (Click to select) v Print (Click to select) ABC Call 25 $23.93 1.01 (Click to select) v АВС Put 25 $23.93 In the money (Click to select) v eferences 2.21 Out of the money b. Now suppose that time has passed and the stocks' prices have changed as indicated in the table below. Recalculate your answers to part a. In/Out of the Money? (Click to select) Today's Stock Company Option Strike…arrow_forwardYou are given the following payoff table showing the possible annual returns of three securities for the year 2019 under different economic conditions. You considering just a single-security investment. Higher Growth Likely Growth Lower Growth Savings Account 6 6 4 Bond 9 12 15 Stock 32 21 -5 Probability 0.20 0.60 ? Required: Explain the meaning of 32 and 12 in the payoff table. Which security would you consider for investment based on the expected return? Which security would you consider for investment based on risk? Advise on the optimum rational decision and explain why?arrow_forwardA put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a six-month European put option for a share of stock with an exercise price of $26. If six months later, the stock price per share is $26 or more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $26 – $22.50 = $3.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $3.50 – $1.00 =…arrow_forward
- A put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a she-month European put option for a share of stock with an exercise price of $25. tf six months later, the stock price per share is $26 more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $25-$22.50-$3.50 per share, less the cost of the option. If you paid $1.00 per put ption, then your profit would be $3.30-11.00-$2.50 per…arrow_forwardA put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a six-month European put option for a share of stock with an exercise price of $26. If six months later, the stock price per share is $26 or more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $26 - $22.50 = $3.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $3.50 - $1.00 =…arrow_forwardA put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a six-month European put option for a share of stock with an exercise price of $26. If six months later, the stock price per share is $26 or more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $26 − $22.50 = $3.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $3.50 − $1.00 =…arrow_forward
- Consider a put option on a stock that curretly sclls for £100, but may rise to £120 or fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90. (a) Calculate the value of the put option using the risk-neutral valuation relationship (RNVR). Explain the reasoning behind your calculations. (b) Calculate the value of the put option by using first principles (No Arbitrage prin- ciples). Explain the reasoning behind your calculations. (c) What is the price of a call option on the same stock with the same exercise price and the same expiration date? Explain the reasoning behind your calculations.arrow_forwardAn investor decides to implement a STRADDLE using put options using the following data . The price of stock today is $ 59 , time frame is 6months , the staddle is constructed using a put and a call option with a strike price of $ 61 . The call cost $ 4 and put costs $ 3 . a ) What is the profit ( % ) if in 6 months , if the stock price is at $ 70 b ) What is the profit ( % ) if in 6 months , if the stock price is at $ 60 c ) At what stock price in the future , the investor will make the least / min profit ? d ) Why do investors implement / use this strategy ? For what reason ?arrow_forwardConsider a put option on a stock that currently sells for £100, but may rise to £120 or fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90. (c) What is the price of a call option on the same stock with the same exercise price and the same expiration date? Explain the reasoning behind your your calculations.arrow_forward
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