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My bad, that's actually the correct answer.
Assume,
quantity of exports X = 10 units @ $2
quantity of imports M = 5 units @ $3
initial exchange rate, $1 = 10 rupees
Final exchange rate, $1 = 20 R
BOT ($1=10R) = $-5
BOT ($1=20R) = $-5
I initially believed that balance of trade is in terms of local currency but is actually calculated in terms of globally accepted trade currency.
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