Question
Assume a firm owns a small warehouse. The warehouse is subject to the risk of a fire. Below is the probability distribution for losses: Loss
Assume a firm owns a small warehouse. The warehouse is subject to the risk of a fire. Below is the probability distribution for losses:
Loss ($) | P(Loss) |
0 | 0.72 |
4,300 | 0.13 |
8,000 | 0.08 |
9,700 | 0.05 |
12,500 | 0.02 |
The firm has four current risk management options it can use to manage this risk:
[1] Retention with a worry value of $600.
[2] Insurance policy with a face amount (FA) of $8,000, a premium cost of $1,500 and a deductible of 250. Implement a loss prevention program that costs $50 and changes the probability of a $0 loss to 80%, a $4,300 loss to 10%, an $8,000 loss to 6%, a $9,700 loss to 3%, and a $12,500 loss to 1%. This option has a worry value of $450.
[3] Insurance of $12,500 with a premium cost of $2,500.
[4] Insurance policy with a FA of $12,500, a premium of $1,700, and a deductible of 500. This option has a worry value of $50.
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Construct a loss matrix. What is the expected cost for each option? (16 points)
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Assume that the risk manager makes decisions based on total cost. What option would she choose? (1 point)
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