Assume the Black-Scholes framework holds. Consider an option on a stock. You are given the following information at time 0: i) The stock price is 50 ii) The option price is 3.00 iii) The option delta is 0.611 iv) The option gamma is 0.020 v) The option theta (measured in days) is -0.133 The stock price changes to X after two days. Using the delta-gamma-theta approximation, you find that the option price changes to 1.90. Determine X. Possible Answers A 47.40 B 47.80

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
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possible answers:

a) 47.4

b) 47.8

c) 48.2

d) 48.6

e) 49.0

Assume the Black-Scholes framework holds. Consider an option on a
stock. You are given the following information at time 0:
i) The stock price is 50
ii) The option price is 3.00
iii) The option delta is 0.611
iv) The option gamma is 0.020
v) The option theta (measured in days) is -0.133
The stock price changes to X after two days. Using the delta-gamma-theta
approximation, you find that the option price changes to 1.90.
Determine X.
Possible Answers
A 47.40
B 47.80
Transcribed Image Text:Assume the Black-Scholes framework holds. Consider an option on a stock. You are given the following information at time 0: i) The stock price is 50 ii) The option price is 3.00 iii) The option delta is 0.611 iv) The option gamma is 0.020 v) The option theta (measured in days) is -0.133 The stock price changes to X after two days. Using the delta-gamma-theta approximation, you find that the option price changes to 1.90. Determine X. Possible Answers A 47.40 B 47.80
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