ESSENTIALS OF INVESTMENTS
11th Edition
ISBN: 9781307431537
Author: Bodie
Publisher: MCG/CREATE
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Chapter 15, Problem 22PS
Consider the following options portfolio: You write a June
a. Graph the payoff of this portfolio at option expiration as a function 0f the stock price at that time.
b. What will be the
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 the stock price in order to justify this position?
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Suppose that you have a call option that is at 1.30. it has a Delta of .35 a Gamma of .06 a Theta of .02 assume Vega is constant. today the stock moves from $45 to $46. the next day (day 2) the stock moves another dollar to $47. What is the value of your call option at the end of day two?
A. $2.02
B. $1.69
C. $1.73
D. $1.98
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?
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Subject :- Accounting \
Graph the value of your portfolio as a function of the relevant stock price. Please create a graph for stock prices between 130 and 165. Assume today is the last day for exercising your options.
Short a call at 163, long a put at 163, and long one share of the stock.
Chapter 15 Solutions
ESSENTIALS OF INVESTMENTS
Ch. 15.2 - Plot the rate of return to the call-plus-bills...Ch. 15.2 - Prob. 2EQCh. 15 - Prob. 1PSCh. 15 - Prob. 2PSCh. 15 - Prob. 3PSCh. 15 - Prob. 4PSCh. 15 - Prob. 5PSCh. 15 - Prob. 6PSCh. 15 - Prob. 7PSCh. 15 - The following diagram shows the value of a put...
Ch. 15 - You are a portfolio manager who uses Options...Ch. 15 - An investor purchases a stock for 38 and a put for...Ch. 15 - ll. Imagine that you are holding shares of stock,...Ch. 15 - Prob. 12PSCh. 15 - The common stock of the R.U.I.T. Corporation has...Ch. 15 - 14. The common stock of the C.A.L.L. Corporation...Ch. 15 - Prob. 15PSCh. 15 - Prob. 16PSCh. 15 - Prob. 17PSCh. 15 - Prob. 18PSCh. 15 - Prob. 19PSCh. 15 - In what ways is owning a corporate bond similar to...Ch. 15 - Prob. 21PSCh. 15 - Consider the following options portfolio: You...Ch. 15 - Consider the following portfolio. You write a put...Ch. 15 - A put option with strike price 300 on the Acme...Ch. 15 - You buy a share of stock, mite a one-year call...Ch. 15 - Joe Finance has just purchased a stock-index fund,...Ch. 15 - You write a call option with X=50 and buy a call...Ch. 15 - Devise a portfolio using only call options and...Ch. 15 - Prob. 29CCh. 15 - Prob. 1CPCh. 15 - Prob. 2CPCh. 15 - Prob. 3CPCh. 15 - Prob. 4CPCh. 15 - Prob. 5CPCh. 15 - Prob. 1WM
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- Turn back to Figure 20.1 , which lists prices of various IBM options. Use the data in the figure tocalculate the payoff and the profits for investments in each of the following January expirationoptions, assuming that the stock price on the expiration date is $125.a. Call option, X 5 $120.b. Put option, X 5 $120.c. Call option, X 5 $125.d. Put option, X 5 $125.e. Call option, X 5 $130.f. Put option, X 5 $130.arrow_forwardUse the data in the figure 20.1 and calculate thepayoff and the profits for investments in each ofthe following January expiration options, assumingthat the stock price on the expiration date is $125.a. Call option, X=$120b. Put option, X=$120c. Call option, X=$125d. Put option, X=$125e. Call option, X=$130f. Put option, X=$130arrow_forwardLabel the following for this diagram: a. Name of options payoff b. Identify whether positive or negative premium c. Identify breakeven point d. What is the profit or loss when stock price is S60 at maturity e. Suppose you have this options position, should you exercise your right (if any) assuming that the stock price is $60 at maturity? Option Payoffs and Profits Long put $40 $20 $0 Option Payoff Option Profit Exerche Price $20 S40 $20 $40 S60 $80. Stock Price At Maturity Payoff and Profitarrow_forward
- Assume the stock’s future prices of stock A and stock B as the following distribution State Future Price Stock A Future price Stock B 1 $10 $7 2 $8 $9 If the time 1 price of stock A is $6, and the time 1 price of stock B is $5. And C1 represents the time 1 price of claim on state 1, C2 represents the time 1 price of claim on state 2 Use the information about stock prices and payoffs to Find the time 1 price C1 and C2. Find the risk–free rate of return, obtained in this market.arrow_forwardUse the Black-Scholes formula to find the value of a call option based on the following inputs. (Round your final answer to 2 decimal places. Do not round intermediate calculations.) Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value GA $ $ $ 48 60 0.07 0.04 0.50 0.26arrow_forwardIn 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). (1) What assumptions underlie the OPM? (2) Write out the three equations that constitute the model. (3) According to the OPM, what is the value of a call option with the following characteristics? Stock price = 27.00 Strike price = 25.00 Time to expiration = 6 months = 0.5 years Risk-free rate = 6.0% Stock return standard deviation = 0.49arrow_forward
- Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?arrow_forwardConsider two put options on different stocks. The table below reports the relevant information for both options: Put optionTime to maturityCurrent price of underlying stockStrike priceVolatility ( )X1 year$27$1830%Y1 year$25$2030%All else equal, which put option has a lower premium? A.Put option Y B.Put option Xarrow_forwardA 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.arrow_forward
- Use the Black-Scholes formula to find the value of a call option based on the following inputs. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value $ 51 $ 64 0.068 0.04 0.50 0.265arrow_forwardsuppose that you have a call option that is at 1.30. it has a Delta of .35 a Gamma of .06 a Theta of .02 assume Vega is constant. today the stock moves from $45 to $46. the next day (day 2) the stock moves another dollar to $47. What is the value of your call option at the end of day two A. $2.02 B. $1.69 C. $1.73 D. $1.98arrow_forwardSuppose that put options on a stock with strike prices $30 and $35 cost $4 and $7, respectively. What is the profit of a bull spread when stock price at maturity is above $35? Select one: a. -3 b. 0 C. 32 d. 2 e. 3 €arrow_forward
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