Exam 11: Choices Involving Risk

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Refer to Figures d and e.Bundle A is preferred to bundle B in Figure e and not in Figure d because: Refer to Figures d and e.Bundle A is preferred to bundle B in Figure e and not in Figure d because:

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B

Assume Brandon's benefit function for water is S(W)= √W and he consumes water both in droughts,WD,or in the rainy season,WR.Assume his current consumption bundle is WD = 400 and WR = 100 and the probability of drought is 0.75.Brandon's risk premium is:

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D

Assume Brandon's benefit function for water is S(W)= √W and he consumes water both in droughts,WD,or in the rainy season,WR.Assume his current consumption bundle is WD = 36 and WR = 25 and the probability of drought is 0.75.What is Brandon's expected utility?

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A

Explain the relationship between the correlation of payoffs and the risk reducing effects of diversification and hedging.

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Refer to Figure a.Assuming the solid line in the graph is a constant expected consumption line where Π (the probability of state S)= 0.50,which constant expected consumption line reflects an increase in Π? Refer to Figure a.Assuming the solid line in the graph is a constant expected consumption line where Π (the probability of state S)= 0.50,which constant expected consumption line reflects an increase in Π?

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$500 and there are two companies he could invest X dollars in: Dog Gone Salon,which has a payoff of 2X with 50% probability and $0 with 50% probability and Pretty Kitty Grooming,which has a payoff of 4X with 25% probability and $0 with 75% probability.Dean's expected payoff from investing $250 in both Dog Gone Salon and Pretty Kitty Grooming is:

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Assume Brandon's benefit function for water is S(W)= √W and he consumes water both in droughts,WD,or in the rainy season,WR.Assume his current consumption bundle is WD = 36 and WR = 25 and the probability of drought is 0.75.Expected water consumption is:

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Two variables are negatively correlated if:

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Suppose a consumer's expected utility function given two possible states of nature A and B can be expressed in terms of consumption of food,F,in both states as U(FA,FB)= [0.6 × ln(FA)] + [0.4 × ln(FB)].For this utility function,MUA is (0.6/FA)and MUB is (0.4/FB).Without insurance,the consumer can consume 200 in state A but only 50 in state B. The consumer can purchase insurance at a premium of 50 cents per dollar of benefit. What is the value of the insurance she purchases?

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Suppose Brandon's indifference curves are defined as U = (3/4)√FS + (1/4)√FH,where FS is consumption during sunny weather and FH is consumption during a hurricane.Further suppose Brandon receives 64 units of food when it is sunny and 16 units when there is a hurricane.What is the certainty equivalent of the expected food consumption bundle if the probability of sunshine is Π = 0.75?

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Suppose Lily's indifference curves are defined as U = √FS + √FH,where FS is consumption during sunny weather and FH is consumption during a hurricane.Lily receives 64 units of food when it is sunny and 16 units of food when there is a hurricane.What is the certainty equivalent of the expected food consumption bundle if the probability of sunshine is Π = 0.5?

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Refer to Figure b.Suppose consumers choose to consume water in two different states,sunny weather,WS and during a hurricane,WH.As the consumer moves from point A to B along the indifference curve,the variability of consumption: Refer to Figure b.Suppose consumers choose to consume water in two different states,sunny weather,W<sub>S</sub> and during a hurricane,W<sub>H</sub>.As the consumer moves from point A to B along the indifference curve,the variability of consumption:

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Two variables are positively correlated if:

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An insurance premium is:

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Refer to Figure f.A benefit function is plotted in Figure f.The letter D represents the: Refer to Figure f.A benefit function is plotted in Figure f.The letter D represents the:

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Suppose Dean has $500 and there are two companies he could invest X dollars in: Dog Gone Salon,which has a payoff of 2X with 50% probability and $0 with 50% probability and Pretty Kitty Grooming,which has a payoff of 4X with 25% probability and $0 with 75% probability.Dean's expected payoff from investing in Pretty Kitty Grooming only is:

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What is the expected payoff of an investment that yields $1,000,000 with a probability of 0.001 and $0 with a probability of 0.999?

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Refer to Figure g.Lily's benefit function (dashed)is more concave than Millie's benefit function (dotted).Lily: Refer to Figure g.Lily's benefit function (dashed)is more concave than Millie's benefit function (dotted).Lily:

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Assume Brandon's benefit function for water is S(W)= √W and he consumes water both in droughts,WD,or in the rainy season,WR.Assume his current consumption bundle is WD = 400 and WR = 100 and the probability of drought is 0.75.Expected water consumption is:

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What is the standard deviation of the payoff from an investment that yields $5,000 with a probability of 0.15 and $500 with a probability of 0.85?

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