Q5. The following equation: AW₁ = TBo+r*W-1 tells us that change in wealth (AW = WoW-1) equals the interest paid/earned on wealth from previous period and the trade balance in current period. Using the above equation and notation from the slides, answer the following questions. Assume that unilateral transfers and capital account equals zero. a. Write an expression for the stock of external wealth at the end of period 0 (W) as a function of the economy's trade balance (TB), the real interest rate, and initial external wealth (W-1). b. Write an expression for the stock of external wealth at the end of period 1 (W₁) as a function of the economy's trade balance each period (TB), the real interest rate, and initial external wealth (W-1). Use the given equation and your answer to part a. c. Suppose the economy faces a constraint requiring that external wealth at the end of period 2 equals zero. Write down the budget constraint for the economy that the present value of trade balances (in periods 0, 1, and 2) must satisfy.

Principles of Economics 2e
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Chapter20: Economic Growth
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Q5. The following equation:
AW₁ = TBo+r*W-1
tells us that change in wealth (AW = WoW-1) equals the interest paid/earned on wealth
from previous period and the trade balance in current period. Using the above equation and
notation from the slides, answer the following questions. Assume that unilateral transfers and
capital account equals zero.
a. Write an expression for the stock of external wealth at the end of period 0 (W) as a
function of the economy's trade balance (TB), the real interest rate, and initial external
wealth (W-1).
b. Write an expression for the stock of external wealth at the end of period 1 (W₁) as a
function of the economy's trade balance each period (TB), the real interest rate, and
initial external wealth (W-1). Use the given equation and your answer to part a.
c. Suppose the economy faces a constraint requiring that external wealth at the end of
period 2 equals zero. Write down the budget constraint for the economy that the present
value of trade balances (in periods 0, 1, and 2) must satisfy.
Transcribed Image Text:Q5. The following equation: AW₁ = TBo+r*W-1 tells us that change in wealth (AW = WoW-1) equals the interest paid/earned on wealth from previous period and the trade balance in current period. Using the above equation and notation from the slides, answer the following questions. Assume that unilateral transfers and capital account equals zero. a. Write an expression for the stock of external wealth at the end of period 0 (W) as a function of the economy's trade balance (TB), the real interest rate, and initial external wealth (W-1). b. Write an expression for the stock of external wealth at the end of period 1 (W₁) as a function of the economy's trade balance each period (TB), the real interest rate, and initial external wealth (W-1). Use the given equation and your answer to part a. c. Suppose the economy faces a constraint requiring that external wealth at the end of period 2 equals zero. Write down the budget constraint for the economy that the present value of trade balances (in periods 0, 1, and 2) must satisfy.
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