Buffelhead's stock price is $192 and could halve or double in each six-month period. A one-year call option on Buffelhead has an exercise price of $151. The interest rate is 21% a year. a. What is the value of the Buffelhead call? (Round your answer to 2 decimal places.) b-1. Now calculate the option delta for the second six months if the stock price rises to $384. b-2. Now calculate the option delta for the second six months if the stock price falls to $96. (Round your answer to 2 decimal places.) c-1. What is the option delta when a call is certain to be exercised? c-2. What is the option delta when a call is certain not to be exercised? d. Suppose that in month 6, the Buffelhead stock price is $96. To replicate an investment in the stock by a combination of call options and risk-free lending, how many calls would you purchase and how much would you lend? For this problem, assume you can purchase partial calls. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter20: Financing With Derivatives
Section20.A: The Black-scholes Option Pricing Model
Problem 1P
icon
Related questions
Question
Check my work
Buffelhead's stock price is $192 and could halve or double in each six-month period. A one-year call option on Buffelhead has an
exercise price of $151. The interest rate is 21% a year.
a. What is the value of the Buffelhead call? (Round your answer to 2 decimal places.)
b-1. Now calculate the option delta for the second six months if the stock price rises to $384.
b-2. Now calculate the option delta for the second six months if the stock price falls to $96. (Round your answer to 2 decimal places.)
c-1. What is the option delta when a call is certain to be exercised?
c-2. What is the option delta when a call is certain not to be exercised?
d. Suppose that in month 6, the Buffelhead stock price is $96. To replicate an investment in the stock by a combination of call
options and risk-free lending, how many calls would you purchase and how much would you lend? For this problem, assume you
can purchase partial calls. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
CE
a.
Value of call
b-1. Delta
b-2. Delta
c-1. Delta
c-2. Delta
d.
Number of calls
Amount to lend
Transcribed Image Text:Check my work Buffelhead's stock price is $192 and could halve or double in each six-month period. A one-year call option on Buffelhead has an exercise price of $151. The interest rate is 21% a year. a. What is the value of the Buffelhead call? (Round your answer to 2 decimal places.) b-1. Now calculate the option delta for the second six months if the stock price rises to $384. b-2. Now calculate the option delta for the second six months if the stock price falls to $96. (Round your answer to 2 decimal places.) c-1. What is the option delta when a call is certain to be exercised? c-2. What is the option delta when a call is certain not to be exercised? d. Suppose that in month 6, the Buffelhead stock price is $96. To replicate an investment in the stock by a combination of call options and risk-free lending, how many calls would you purchase and how much would you lend? For this problem, assume you can purchase partial calls. (Do not round intermediate calculations. Round your answers to 2 decimal places.) CE a. Value of call b-1. Delta b-2. Delta c-1. Delta c-2. Delta d. Number of calls Amount to lend
Expert Solution
Step 1

Hai there! Thank you for the question. Question has multiple sub parts. As per company guidelines expert can answer only three sub parts at a time. Ask remaining sub parts separately.

-----------------------------

Given:

Stock price 192
Interest rate 21%
Exercise price  151
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Options
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:
9781337514835
Author:
MOYER
Publisher:
CENGAGE LEARNING - CONSIGNMENT
Intermediate Financial Management (MindTap Course…
Intermediate Financial Management (MindTap Course…
Finance
ISBN:
9781337395083
Author:
Eugene F. Brigham, Phillip R. Daves
Publisher:
Cengage Learning