Suppose the stock price is currently $75. For the next six months there is 7.5% probability that the stock will appreciate 8% with 4% annualized drift. The risk-free rate is 1.53% per year with continuous compounding. The dividend yield is 1 p.a.%. Value the following option using binomial tress and 12-time steps. a.) What is the value of a six-month European put option with a strike price of $86. b.) What is the value of a six-month American put option with a strike price of $70. c.) What is the value of a six-month European call option with a strike price of $86.

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
icon
Concept explainers
Topic Video
Question
Suppose the stock price is currently $75. For the next six months there is 7.5% probability that the stock
will appreciate 8% with 4% annualized drift. The risk-free rate is 1.53% per year with continuous
compounding. The dividend yield is 1 p.a.%. Value the following option using binomial tress and 12-time
steps.
a.) What is the value of a six-month European put option with a strike price of $86.
b.) What is the value of a six-month American put option with a strike price of $70.
c.) What is the value of a six-month European call option with a strike price of $86.
d.) What is the value of a six-month European put option with a strike price of $70.
e.) Estimate how high the minimum strike price must be for it to be optimal to exercise the put option
immediately.
Transcribed Image Text:Suppose the stock price is currently $75. For the next six months there is 7.5% probability that the stock will appreciate 8% with 4% annualized drift. The risk-free rate is 1.53% per year with continuous compounding. The dividend yield is 1 p.a.%. Value the following option using binomial tress and 12-time steps. a.) What is the value of a six-month European put option with a strike price of $86. b.) What is the value of a six-month American put option with a strike price of $70. c.) What is the value of a six-month European call option with a strike price of $86. d.) What is the value of a six-month European put option with a strike price of $70. e.) Estimate how high the minimum strike price must be for it to be optimal to exercise the put option immediately.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Stock Valuation
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