Question

AN INCREASE IN CAPITAL AND INTERNATIONAL DEBTS Fill in the missing values in Table 1, Question 3 below. $C A_t$ is notation for the current account balance. All other notations are in the text. The stock variable $B_t^f$ is calculated at the end of the period using equation (18.4). The stock variable $K_t$ is calculated as of the beginning of the period using equation (18.2). At the end of period 1 (the beginning of period 2) $B_t^f$ is zero. $K_t$ equals 300 at the beginning of period 2. The interest rate earned on foreign assets or paid on foreign debt is $10 \%$. a. What is the value of the depreciation rate $\delta$ ? Why is the capital stock unchanged from year 4 to year 5 ? b. What is the value of $B_t^f$ at the end of period 2 ? Is there a current account deficit in period 2? Explain the source of the current account deficit in year 3. Calculate net foreign debts at the end of year 3 . c. There is a sharp fall in consumption in year 5 . What is the effect of that drop in consumption in the current account? What is the effect of that drop in consumption in this country's net foreign debts at the end of year 5 ? $$ \begin{array}{cccccccccc} \text { Year } & \boldsymbol{Y}_{\boldsymbol{t}} & \boldsymbol{C}_{\boldsymbol{t}} & \boldsymbol{t}_{\boldsymbol{t}} & \boldsymbol{x}_{\boldsymbol{t}} & \boldsymbol{a}_{\boldsymbol{t}} & \boldsymbol{C A}_{\boldsymbol{t}} & \boldsymbol{B}_{\boldsymbol{t}}^{\boldsymbol{t}} & \begin{array}{c} \text { Trade } \\ \text { Balance } \end{array} & \boldsymbol{K}_{\boldsymbol{t}} \\ \hline 2 & 100 & 70 & 30 & 20 & 20 & & 0 & & 300 \\ 3 & 100 & 65 & 40 & & 25 & & -5 & & 310 \\ 4 & 105 & 73 & 31 & 21 & 20 & & & 310 \end{array} $$

   AN INCREASE IN CAPITAL AND INTERNATIONAL DEBTS

Fill in the missing values in Table 1, Question 3 below.
$C A_t$ is notation for the current account balance. All other notations are in the text. The stock variable $B_t^f$ is calculated at the end of the period using equation (18.4). The stock variable $K_t$ is calculated as of the beginning of the period using equation (18.2). At the end of period 1 (the beginning of period 2) $B_t^f$ is zero. $K_t$ equals 300 at the beginning of period 2. The interest rate earned on foreign assets or paid on foreign debt is $10 \%$.
a. What is the value of the depreciation rate $\delta$ ? Why is the capital stock unchanged from year 4 to year 5 ?
b. What is the value of $B_t^f$ at the end of period 2 ? Is there a current account deficit in period 2? Explain the source of the current account deficit in year 3. Calculate net foreign debts at the end of year 3 .
c. There is a sharp fall in consumption in year 5 . What is the effect of that drop in consumption in the current account? What is the effect of that drop in consumption in this country's net foreign debts at the end of year 5 ?
$$
\begin{array}{cccccccccc}
\text { Year } & \boldsymbol{Y}_{\boldsymbol{t}} & \boldsymbol{C}_{\boldsymbol{t}} & \boldsymbol{t}_{\boldsymbol{t}} & \boldsymbol{x}_{\boldsymbol{t}} & \boldsymbol{a}_{\boldsymbol{t}} & \boldsymbol{C A}_{\boldsymbol{t}} & \boldsymbol{B}_{\boldsymbol{t}}^{\boldsymbol{t}} & \begin{array}{c}
\text { Trade } \\
\text { Balance }
\end{array} & \boldsymbol{K}_{\boldsymbol{t}} \\
\hline 2 & 100 & 70 & 30 & 20 & 20 & & 0 & & 300 \\
3 & 100 & 65 & 40 & & 25 & & -5 & & 310 \\
4 & 105 & 73 & 31 & 21 & 20 & & & 310
\end{array}
$$
Show more…
Macroeconomics
Macroeconomics
J. Olivier, David R.… 5th Edition
Chapter 18, Problem 3 ↓

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Step 1

- Given that \(K_t\) is 310 in both year 4 and year 5, and assuming no investment, the capital stock remains constant. This implies that depreciation equals investment, maintaining the capital stock level. - The depreciation rate \(\delta\) can be calculated using  Show more…

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AN INCREASE IN CAPITAL AND INTERNATIONAL DEBTS Fill in the missing values in Table 1, Question 3 below. $C A_t$ is notation for the current account balance. All other notations are in the text. The stock variable $B_t^f$ is calculated at the end of the period using equation (18.4). The stock variable $K_t$ is calculated as of the beginning of the period using equation (18.2). At the end of period 1 (the beginning of period 2) $B_t^f$ is zero. $K_t$ equals 300 at the beginning of period 2. The interest rate earned on foreign assets or paid on foreign debt is $10 \%$. a. What is the value of the depreciation rate $\delta$ ? Why is the capital stock unchanged from year 4 to year 5 ? b. What is the value of $B_t^f$ at the end of period 2 ? Is there a current account deficit in period 2? Explain the source of the current account deficit in year 3. Calculate net foreign debts at the end of year 3 . c. There is a sharp fall in consumption in year 5 . What is the effect of that drop in consumption in the current account? What is the effect of that drop in consumption in this country's net foreign debts at the end of year 5 ? $$ \begin{array}{cccccccccc} \text { Year } & \boldsymbol{Y}_{\boldsymbol{t}} & \boldsymbol{C}_{\boldsymbol{t}} & \boldsymbol{t}_{\boldsymbol{t}} & \boldsymbol{x}_{\boldsymbol{t}} & \boldsymbol{a}_{\boldsymbol{t}} & \boldsymbol{C A}_{\boldsymbol{t}} & \boldsymbol{B}_{\boldsymbol{t}}^{\boldsymbol{t}} & \begin{array}{c} \text { Trade } \\ \text { Balance } \end{array} & \boldsymbol{K}_{\boldsymbol{t}} \\ \hline 2 & 100 & 70 & 30 & 20 & 20 & & 0 & & 300 \\ 3 & 100 & 65 & 40 & & 25 & & -5 & & 310 \\ 4 & 105 & 73 & 31 & 21 & 20 & & & 310 \end{array} $$
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