INVESTMENTS (LOOSELEAF) W/CONNECT
11th Edition
ISBN: 9781260465945
Author: Bodie
Publisher: MCG
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Chapter 21, Problem 2CP
Summary Introduction
To select:
A correct option for the open interest on a futures contract
Introduction:
Maintenance margin is the minimum amount of equity that a future margin account may have and usually set at 75% to 85% of the initial margin.
When a futures contract is purchased, a minimum deposit is required known as Initial margin.
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Michael Weber, CFA, is analyzing several aspects of option valuation, including the determinants of the value of an option, the characteristics of various models used to value options, and the potential for divergence of calculated option values from observed market prices.a. What is the expected effect on the value of a call option on common stock if the volatility of the underlying stock price decreases? If the time to expiration of the option increases?b. Using the Black-Scholes option-pricing model and an estimate of stock return volatility, Weber calculates the price of a 3-month call option and notices the option’s calculated value is different from its market price. With respect to Weber’s use of the Black-Scholes option-pricing model,i. Discuss why the calculated value of an out-of-the-money European option may differ from its market price.ii. Discuss why the calculated value of an American option may differ from its market price.
Explain in detail with an example how the change of the variables (like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration) of Black-Scholes-Merton Formula affect the price of the option.
Both call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different.
Use the following table to identify whether each statement describes put options or call options.
Statement
Put Option
Call Option
1. An option is more valuable the longer the maturity.
2. A longer maturity in-the-money option on a risky stock is more valuable than the same shorter maturity option.
3. When the exercise price increases, option prices increase.
4. As the risk-free rate increases, the value of the option increases.
Chapter 21 Solutions
INVESTMENTS (LOOSELEAF) W/CONNECT
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- Both call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different. Use the following table to identify whether each statement describes put options or call options. Statement Put Option Call Option 1. When the exercise price increases, option prices increase. 2. An option is more valuable the longer the maturity. 3. The effect of the time to maturity on the option prices is indeterminate. 4. As the risk-free rate increases, the value of the option increases.arrow_forwardSelect all that are true with respect to the Black Scholes Option Pricing Model (BSOPM) Group of answer choices When using BSOPM to value a stock option, the BSOPM assumes that stock prices follow a normal distribution. When using BSOPM to value a stock option, the BSOPM assumes that stock returns follow a normal distribution. Half of the observations in a normal distribution are above the mean and half are below the mean. Fisher Black and Myron Scholes were awarded the Nobel Prize in 1997 for their work in Option Pricing.arrow_forwardBased on Torelli’s scenarios, what is the mean return of GMS stock? What is the standard deviation of the return of GMS stock? 2. After a cursory examination of the put option prices, Torelli suspects that a good strategy is to buy one put option A for each share of GMS stock purchased. What are the mean and standard deviation of return for this strategy?arrow_forward
- The value derived from exercising an option immediately is the exercise value. No rational investor would exercise an option that is out-of-the-money, so the minimum exercise value is zero. The following table provides information regarding options on ABC Corp. stock. Because the stock’s price is volatile, investors trade options to either hedge their positions or speculate on price movements. Investors can either buy options or “issue” new options, which is called writing options. Based on your understanding of exercise value and option prices, complete the table with a strike price of $28.00: Stock Price ($) Strike Price ($) Exercise Value ($) Market Price of Option ($) Time Value ($) 8.00 28.00 0.00 1.56 16.00 28.00 2.10 2.10 20.00 28.00 2.40 2.40 22.00 28.00 0.00 2.60 24.00 28.00 4.00 4.00 After two weeks, the stock price of ABC Corp. increases to $24.96. Suppose you purchased the shares for $16.00 and then sell the…arrow_forwardThe value derived from exercising an option immediately is the exercise value. No rational investor would exercise an option that is out-of-the-money, so the minimum exercise value is zero. The following table provides information regarding options on ABC Corp. stock. Because the stock’s price is volatile, investors trade options to either hedge their positions or speculate on price movements. Investors can either buy options or “issue” new options, which is called writing options. Based on your understanding of exercise value and option prices, complete the table with a strike price of $30.00: Stock Price ($) Strike Price ($) Exercise Value ($) Market Price of Option ($) Time Value ($) 20.00 30.00 0.00 1.56 40.00 30.00 12.10 2.10 50.00 30.00 22.40 2.40 55.00 30.00 25.00 27.60 60.00 30.00 34.00 4.00 After two weeks, the stock price of ABC Corp. increases to $62.40. Suppose you purchased the shares for $40.00 and then sell…arrow_forwardThe value derived from exercising an option immediately is the exercise value. No rational investor would exercise an option that is out-of-the-money, so the minimum exercise value is zero. The following table provides information regarding options on ABC Corp. stock. Because the stock’s price is volatile, investors trade options to either hedge their positions or speculate on price movements. Investors can either buy options or “issue” new options, which is called writing options. The following table presents the data on ABC Corp.’s call options at different stock prices. Based on your understanding of exercise value and option prices, complete the table with a strike price of $14.00: Stock Price ($) Strike Price ($) Exercise Value ($) Market Price of Option ($) Time Value ($) 32.00 14.00 18.00 19.56 64.00 14.00 52.10 2.10 80.00 14.00 68.40 2.40 88.00 14.00 74.00 76.60 96.00 14.00 86.00 4.00 After two weeks, the stock…arrow_forward
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