In year T, a US citizen buys 100 shares of Sonic on the Tokyo stock exchange at 700 yens each. Suppose the exchange rate then is $0.01 per yen. Suppose the price of the stocks falls to 600 yens each at time T +1. Nothing else changes. Compute the change in US external wealth between periods T and T +1 in dollars.

Change in US external wealth between periods T and T +1 in dollars = -$100

Explanation:

Since nothing else changes, this implies that the exchange rate per yen is $0.01 in periods T and T +1. Therefore, we have:

Value shares of Sonic in period T in dollar = Number of shares of Sonic bought in period T * Price per share of Sonic in Yen in period T * Exchange rate per yen in periods T = 100 * 700 * $0.01 = $700

Value shares of Sonic in period T+1 in dollar = Number of shares of Sonic in period T+1 * Price per share of Sonic in Yen in period T+1 * Exchange rate per yen in period T+1 = 100 * 600 * $0.01 = $600

Change in US external wealth between periods T and T +1 in dollars = Value shares of Sonic in period T+1 in dollar - Value shares of Sonic in period T in dollar = $600 - $700 = -$100

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