Under frost-free conditions, ABC company expects its strawberry crop to have a $60,000 market value. An unprotected crop subject to frost has an expected market value of $40,000. If ABC protects the strawberries against frost, then the market value of the crop is still expected to be $60,000 under frostfree conditions and $90,000 if there is a frost. What must be the probability of a frost for ABC to be indifferent to spending $10,000 for frost protection?
Answer(s): B
Explanation:
Choice "b" is correct. If there is no frost, then there is no difference between ABC's income with or without the insurance-the crop is worth $60,000 either way. However, if the insurance is purchased and a frost occurs, ABC earns $50,000 more with insurance ($90,000 − $40,000) than he would without the insurance.
The expected value of having the insurance is therefore:
Probability of frost x $50,000 + Probability of no frost x $0
ABC will be indifferent to spending $10,000 for frost protection when the expected value of the insurance equals the cost of the insurance:
Probability of frost x $50,000 = $10,000 Probability = 20%
Choices "a", "c", and "d" are incorrect based on the above Explanation.
Reveal Solution Next Question