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PROBLEM 12-5: Valuation an American Option Given Risk-neutral probability 0.4626 Risk free Interest rate 5% Discount factor = exp(-Risk free interest rate) Strike (in $
PROBLEM 12-5: Valuation an American Option | ||||||||||||
Given | ||||||||||||
Risk-neutral probability | 0.4626 | |||||||||||
Risk free Interest rate | 5% | |||||||||||
Discount factor = exp(-Risk free interest rate) | ||||||||||||
Strike (in $ millions) | $ 23.00 | |||||||||||
Solution | ||||||||||||
Today | Year One | Year Two | Year Three | |||||||||
| $ 35.8300 | |||||||||||
| $ 31.7800 | |||||||||||
| $ 28.1900 | $ 26.5500 | ||||||||||
Text Color Legend | ||||||||||||
Value of Beginning Oil Field Operations Now | $ 25.000 | $ 23.5500 | ||||||||||
NPV of waiting (NPV-Waiting) | ||||||||||||
NPV of Exercising Now (NPV-Now) | ||||||||||||
Value of American Option = max (NPV-Waiting,NPV-Now) | $ 20.8800 | $ 19.6600 | ||||||||||
Cell Outline Legend | ||||||||||||
$ 17.4400 | ||||||||||||
Stock | ||||||||||||
Wait | $ 14.5700 | |||||||||||
Exercise - drill | ||||||||||||
Impossible node | ||||||||||||
a. | ||||||||||||
b. |
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