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Mon 13 Mar, 2017 09:04 pm

> Consider two countries - a domestic country (with excess capacity and

> unlimited supply of labour) and a benevolent foreign country. The

> domestic country produces a single good at a fixed price of **Rupee**

> $ 1$ per unit and is in equilibrium initially (i.e., in year $0$) with

> income at Rs. 100 and consumption, investment and savings at **Rs.**$

> 50$ each. Investment expenditure is autonomous. Final expenditure in

> any **year** $t$ shows up as income in **year t** (say, **Yt**) , but

> consumption expenditure in **year t** (say, **Ct**) is given by:

> $C_{t} = 0.5Y_{t-1}$. The foreign country agrees to give a loan of

> **Rs.100** to the domestic country in **year 1** at zero interest rate, but on conditions that it be

> ***(i) used for investment only and (ii) repaid in full at the beginning of the next year***. The loan may be renewed every year, but

> on the same conditions as above. Find the income, consumption,

> investment and savings of the domestic country in **year 1, year 2**

> and in final equilibrium when the country takes the loan in **year 1**

> only.

Hello, there has been a lot of confusion regarding the correct solution to this question.

Some of the possible solutions are listed below:

>**(1)** As in year $0$ we are starting with $Yo=100$ so at the beginning of

> $year 1$ $C_{1}=0.5*100=50$

>

> $S_{1}=50 (Yo-C1)$

>

> now loan has also been taken this year so $I=100 + 50 (50=savings)$.

>

> The economy at the end of $year 1$, $Y_{1} = 150+50=200$

>

> now for $year 2$

>

> loan has to be repaid i.e $200-100$.

>

> $100$ remains in the economy $C_{2}=0.5*y_{1}=0.5*200 = 100$

>

> since there was $100$ in the economy and all is consumed so $S_{2}=0$

>

> loan has been taken this year also so $I=100+0 (0 is savings)$

> economy at the end of $year 2$ ,$y_{2}=100+100=200$

>

> this goes on for subsequent years in which saving always remains $0$.

and this is another possibility:

> **(2)** Period $1$: $Y=C+I+Loan taken$ : $200=50+50+100$

>

> Period $2$: $C=0.5*200= 100$ Autonomous investment= $50$

>

> Y should be $100+50=150$

>

> But repayment of loan: So $Y =150-100=50$

>

> Therefore: $50= 100+50 -(100)$

>

> Therefor savings= $(-100)$

> **No equilibrium**

**Any help as to what is the right approach to this problem will be appreciated!**

The answer is always Guns and Butter

And Subprime Mortgagesâ€‹

Slathered in Guns and Butter