1) Using the Black and Scholes formula, for each payoff compute the price, delta and probability of being exercised: 1a) A call, K=90, So=100, T=0.25, o=0.2 and r=0.01. 1b) A put, K=37, So=35, T=0.3, o=0.3 and r=0.02. 1c) A call, K=23, So=24, T=5 months, o=24% and r=2%.

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter15: Decision Analysis
Section: Chapter Questions
Problem 24P: Translate the following monetary payoffs into utilities for a decision maker whose utility function...
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1) Using the Black and Scholes formula, for each payoff compute the price,
delta and probability of being exercised:
1a) A call, K=90, So=100, T=0.25, o=0.2 and r=0.01.
1b) A put, K=37, So=35, T=0.3, o=0.3 and r=0.02.
1c) A call, K=23, So=24, T=5 months, o=24% and r=2%.
1d) A call, K=95% of So, So=50, T=9 months, o=50% and r=3%.
1e) A put, K=97% of So, So=95, T=1 year, o=D30% and r=2%.
1f) An "at-the-money" straddle, So=95, T = 3 months, o=35% and r=2%.
Transcribed Image Text:1) Using the Black and Scholes formula, for each payoff compute the price, delta and probability of being exercised: 1a) A call, K=90, So=100, T=0.25, o=0.2 and r=0.01. 1b) A put, K=37, So=35, T=0.3, o=0.3 and r=0.02. 1c) A call, K=23, So=24, T=5 months, o=24% and r=2%. 1d) A call, K=95% of So, So=50, T=9 months, o=50% and r=3%. 1e) A put, K=97% of So, So=95, T=1 year, o=D30% and r=2%. 1f) An "at-the-money" straddle, So=95, T = 3 months, o=35% and r=2%.
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