I tried doing Y1=200+0.5(Y1-0.4Y1)+250+114+M2-40-0.05Y1
And Y2=200+0.5(Y2-0.4Y2)+250+120+M1-40-0.3Y2
This is because 1's exports are 2's imports and vice versa, which is why exchange rate has been mentioned as unity i.e. we can directly look at M1 and M2.
Solving, I got:
Y1=940.34, Y2=650.08, M1=120.08 and M2=181.25
So country one does have a surplus but the level of income is not greater than country 2.
I don't get it.
i'm also getting y1= 1000 and y2= 620...
And country 1 runs a surplus of 136 and country 2 runs a deficit of the same amount.. So option c seems right!!! It HAS to be a trade surplus for sure for country 1 because MPM of country 2 is A LOT higher than MPM of country 1 and autonomous imports are equal so they get cancelled out. SO that narrows down to just the equilibrium output - option C OR D??
Oh you're right, made a very stupid error. Yes even my answer is now the same. Thanks I think C has to be the right answer because country 1's output is definitely higher, isn't it?
Hey tim, you were asking the relevance of exchange rate as unity. Well, when exchange rate is unity and Marshall Lerner condition holds, then interest parity requires that the interest rates be equal in both countries.