Let K denote the quantity of capital a country has at the beginning of period t. Also, suppose that capital depreciates at a constant rate d, so that dK; of the capital stock wears out during period t. If investment during period t isdenoted by It, and the country does not trade with the rest of the world (the current account surplus is always zero), then we can say that the quantity of capital at the beginning of period t + 1 is given by K+1 = (1– d)K; +It | Suppose at the beginning of year 0 that this country has 80 units of capital. Investment expenditures are 10 units in each of years 0, 1, 2, 3, 4, ..., 10. The capital stock depreciates by 10% per year. (a) Calculate the quantity of capital at the beginning of years 0, 1, 2, 3, 4, ..., 10.

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12. Let K denote the quantity of capital a country
has at the beginning of period t. Also, suppose
that capital depreciates at a constant rate d, so
that dK; of the capital stock wears out during
period t. If investment during period t isdenoted
by It, and the country does not trade with the
rest of the world (the current account surplus is
always zero), then we can say that the quantity
of capital at the beginning of period t + 1 is
given by
K+1 = (1– d)K; +It
Suppose at the beginning of year 0 that this
country has 80 units of capital. Investment
expenditures are 10 units in each of years 0, 1,
2, 3, 4, ..., 10. The capital stock depreciates by
10% per year.
(a) Calculate the quantity of capital at the
beginning of years 0, 1, 2, 3, 4, . .., 10.
Transcribed Image Text:12. Let K denote the quantity of capital a country has at the beginning of period t. Also, suppose that capital depreciates at a constant rate d, so that dK; of the capital stock wears out during period t. If investment during period t isdenoted by It, and the country does not trade with the rest of the world (the current account surplus is always zero), then we can say that the quantity of capital at the beginning of period t + 1 is given by K+1 = (1– d)K; +It Suppose at the beginning of year 0 that this country has 80 units of capital. Investment expenditures are 10 units in each of years 0, 1, 2, 3, 4, ..., 10. The capital stock depreciates by 10% per year. (a) Calculate the quantity of capital at the beginning of years 0, 1, 2, 3, 4, . .., 10.
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