Suppose you wish to insure an asset valued at $100. Only two states of the world...
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Suppose you wish to insure an asset valued at $100. Only two states of the world can occur in the future, FIRE and NO FIRE, with probabilities .25 and .75 respectively. In the FIRE state, the asset is completely destroyed. Your initial wealth (including this asset) is $120, and your utility U(W) = In W. A. Suppose an insurer offers to fully insure your fire risk for a premium of $25. Should you purchase this insurance policy? Why or why not? B. If the premium for full coverage is $35, should you fully insure? Why or why not? C. What is the maximum premium you are willing to pay to fully insure this risk? Explain how you determined the answer to this question. Suppose you wish to insure an asset valued at $100. Only two states of the world can occur in the future, FIRE and NO FIRE, with probabilities .25 and .75 respectively. In the FIRE state, the asset is completely destroyed. Your initial wealth (including this asset) is $120, and your utility U(W) = In W. A. Suppose an insurer offers to fully insure your fire risk for a premium of $25. Should you purchase this insurance policy? Why or why not? B. If the premium for full coverage is $35, should you fully insure? Why or why not? C. What is the maximum premium you are willing to pay to fully insure this risk? Explain how you determined the answer to this question.
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Total wealth 120 Home value 100 Probability of FIRE 025 Wealth in NO FIRE ... View the full answer
Related Book For
An Introduction to the Mathematics of Financial Derivatives
ISBN: 978-0123846822
3rd edition
Authors: Ali Hirsa, Salih N. Neftci
Posted Date:
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