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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![5. The Black-Scholes option pricing model
Аа Аа
The Black-Scholes option pricing model (OPM) was developed in 1973. The creation of the Black-Scholes OPM played
a significant role in the rapid growth of options trading.
The derivation of the Black-Scholes Option Pricing Model rests on the concept of a
According to the Black-Scholes Option Pricing Model, as the variance, o2, increases, the value of the call option
Merry Melon Fruit Company has a current stock price of $32.00. A call option on this stock has an exercise price of
$32.00 and 0.49 year to maturity. The variance of the stock price is 0.04, and the risk-free rate is 7%. You calculate
di to be 0.32 and N(0.32) to be 0.6255. Therefore, d2 will be 0.18 and N(0.18) will be 0.5714. Using the Black-
Scholes Option Pricing Model, what is the value of the option? (Note: Use 2.7183 as the approximate value of e.)
$2.113
$1.996
$2.700
$2.348](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e241797-399b-4dac-ab9c-2b3b625a3d13%2F4fc151de-0680-41e5-8b1c-db2188859021%2Fabtnazo_processed.png&w=3840&q=75)
Transcribed Image Text:5. The Black-Scholes option pricing model
Аа Аа
The Black-Scholes option pricing model (OPM) was developed in 1973. The creation of the Black-Scholes OPM played
a significant role in the rapid growth of options trading.
The derivation of the Black-Scholes Option Pricing Model rests on the concept of a
According to the Black-Scholes Option Pricing Model, as the variance, o2, increases, the value of the call option
Merry Melon Fruit Company has a current stock price of $32.00. A call option on this stock has an exercise price of
$32.00 and 0.49 year to maturity. The variance of the stock price is 0.04, and the risk-free rate is 7%. You calculate
di to be 0.32 and N(0.32) to be 0.6255. Therefore, d2 will be 0.18 and N(0.18) will be 0.5714. Using the Black-
Scholes Option Pricing Model, what is the value of the option? (Note: Use 2.7183 as the approximate value of e.)
$2.113
$1.996
$2.700
$2.348
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