北美精算师(SOA)考试P_2000_November年真题.pdf

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北美精算师(SOA)考试P_2000_November年真题.pdf

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November 2000 Course 1 Society of Actuaries/Casualty Actuarial Society 1. A recent study indicates that the annual cost of maintaining and repairing a car in a town in Ontario averages 200 with a variance of 260 . If a tax of 20% is introduced on all items associated with the maintenance and repair of cars (i.e., everything is made 20% more expensive), what will be the variance of the annual cost of maintaining and repairing a car? (A) 208 (B) 260 (C) 270 (D) 312 (E) 374 November 2000 1 Course 1 2. An investor purchases two assets, each having an initial value of 1000 . The value V n of the first asset after n years can be modeled by the relationship: V = 1.10 V for n = 1, 2, 3, . . . n n–1 The value W of the second asset after n years can be modeled by the relationship: n W = W + 0.20 W for n = 1, 2, 3, . . . n n– 1 0 According to these models, by how much will the value of the first asset exceed the value of the second asset after 25 years? (A) 4050 (B) 4835 (C) 5035 (D) 5718 (E) 6000 Course 1