Suppose there is also a 1-year European put option on the same stock as in Question 3 with exercise price $30. The current stock price is also $25 and the stock price, in 1 year, will be either $35 (up by 40%) or $20 (down by 20%). The interest rate is 8%. This stock does not pay dividend. What is the value of the put option? Please use risk neutral probability method and assume discrete discounting.  (2) What is put-call parity in option pricing? What needs to be true in order for put-call parity to hold?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter5: Financial Options
Section: Chapter Questions
Problem 3Q
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Suppose there is also a 1-year European put option on the same stock as in Question 3 with exercise price $30. The current stock price is also $25 and the stock price, in 1 year, will be either $35 (up by 40%) or $20 (down by 20%). The interest rate is 8%. This stock does not pay dividend. What is the value of the put option? Please use risk neutral probability method and assume discrete discounting. 

(2) What is put-call parity in option pricing? What needs to be true in order for put-call parity to hold? 

Part 1
Up (percentage of price change)
Down (percentage of price
change)
Initial stock price, S_0
interest rate
Exercise price
Time to maturity-years (T)
up(u)
down(d)
R
Risk Neutral Probabilities
Qu
Qd
Put option payoffs
Put Price
Price???
40%
-20%
25
8%
30
1
get formula
Transcribed Image Text:Part 1 Up (percentage of price change) Down (percentage of price change) Initial stock price, S_0 interest rate Exercise price Time to maturity-years (T) up(u) down(d) R Risk Neutral Probabilities Qu Qd Put option payoffs Put Price Price??? 40% -20% 25 8% 30 1 get formula
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