November 2001
贯通日本语Cour 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
interest
2
100
t
t
δ=, t > 0 .
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The amount of interest earned from time 3 to time 6 is X. Calculate X.
(A)385
(B)485
(C)585
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(E)785
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 “price,” 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
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(C)10.0
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oh mom(D)20.0
(E)40.0
3.Last year, a country's output incread 2.6%. The country’s capital stock increadflee
4.0%
while its labor hours incread 2.0%. The labor share of total income was 70%.
What was the country’s total factor productivity growth last year?
(A)–0.8
(B) 0.0
(C) 2.3
(D) 5.2
beside
(E) 6.0
4.Consider a project lasting one year. The initial outlay is 100,000 at the beginning of the
year and the expected inflow is 120,000 at the end of the year. The opportunity cost of capital for the project is 20%, the borrowing rate is 8%, and the marginal tax rate is 35%.
Calculate the adjusted prent value if the company borrows 54% of the project’s
required investment.
(A) 800
(B)1260
(C)1400
pixels(D)3150
(E)3500
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