北美精算师(SOA)考试_FM_2001_November_年真题.pdf

November 2001 Course 2 Interest Theory, Economics and Finance Society of Actuaries/Casualty Actuarial Society 1. Ernie makes deposits of 100 at time 0, and X at time 3 . The fund grows at a force of 2 t interest δt = , t 0 . 100 The amount of interest earned from time 3 to time 6 is X . Calculate X . (A) 385 (B) 485 (C) 585 (D) 685 (E) 785 Course 2, November 2001 2 2. The production of a good requires two inputs, labor and capital. At its current level of daily output, a competitive firm employs 100 machine hours of capital and 200 labor hours. The marginal product of machine hours is 10 units. The marginal product of labor hours is 5 units. The rental rate, or ìprice,î of capital is 20 per machine hour. If the firm minimizes its costs, what is the hourly wage rate? (A) 2.5 (B) 5.0 (C) 10.0 (D) 20.0 (E) 40.0 Course 2, November 2001 3 3. Last year, a countrys output increased 2.6%. The countryís capital stock increased 4.0% while its labor hours increased 2.0%. The labor share of total income was 70%. What was the countryís total factor productivity growth last year? (A) ñ0.8 (B) 0.0 (C) 2.3 (D) 5.2