ESSEN.OF.INVESTMENTS+CONNECT
10th Edition
ISBN: 9781260361605
Author: Bodie
Publisher: MCG
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Textbook Question
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
Given the following information, predict the put option's new price after the stock's volatility changes.
Initial put option price = $6
Initial volatility = 25%
Vega = 13
New volatility = 18%
(required precision 0.01 +/- 0.01)
Greeks Reference Guide:
Delta = ∂π/∂S
Theta = ∂π/∂t
Gamma = (∂2π)/(∂S2)
Vega = ∂π/∂σ
Rho = ∂π/∂r
Label 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 Profit
Chapter 15 Solutions
ESSEN.OF.INVESTMENTS+CONNECT
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. 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 - Prob. 26CCh. 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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- Use 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_forwardAssume 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_forward
- In 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). What assumptions underlie the OPM? Write out the three equations that constitute the model. 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_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_forward4. Consider a stock with a current price of S0 = $60. The value of the stock at time t = 1 can take one of two values: S1,u = $100, S1,d = $40. The price of a risk-free bond that pays out $1 in period t = 1 is $0.90. (a) Using a one-step binomial tree, write down the possible payoffs of a put option on stock S with strike K = $60 and maturity t = 1. (b) What is the price of this put option? (c) What is the price of a call option with strike K = $60 and maturity t = 1? Please use put-call parity to find the call price.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
- Which one of the following stocks is correctly priced if the risk-free rate of return is 3.0 percent and the market risk premium is 7.5 percent? Expected Return 8.46% Stock A B с D E 0000С Stock A O Stock D Stock C O Stock E Beta 77 1.46 1.27 1.44 .95 Stock B 12.47 11.19 13.80 8.65arrow_forwardConsider shorting a call option c on a stock S where S = 24 is the value of the stock, K = 30 is the strike price, T = ½ is the expiration date, r = 0.04 is the continuously compounded interest rate per year, and = 0.3 is the volatility of the price of the stock. Determine the delta ratio Δ .arrow_forwardA call option with X = $55 on a stock priced at S = $60 is sells for $12. Using a volatility estimate of σ = 0.35, you find that N(d1) = 0.7163 and N(d2) = 0.6543. The risk-free interest rate is zero. Is the implied volatility based on the option price more or less than 0.35?arrow_forward
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