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Suppose that two countries, Vietnam andCôte d’Ivoire, produce coffee. The currencyunit used in Vietnam is the dong (VND).Côte d’Ivoire is a member of CommunauteFinanciere Africaine (CFA), a currency unionof West African countries that use theCFA franc (XOF). In Vietnam, coffee sellsfor 5,000 dong (VND) per pound. The ex-change rate is 30 VND per 1 CFA franc,EVND / XOF = 30.a. If the law of one price holds, what is theprice of coffee in Côte d’Ivoire, measured inCFA francs?b. Assume the price of coffee in Côte d’Ivoireis actually 160 CFA francs per pound of cof-fee. Compute the relative price of coffee inCôte d’Ivoire versus Vietnam. Where willcoffee traders buy coffee? Where will theysell coffee in this case? How will these trans-actions affect the price of coffee in Vietnam?In Côte d’Ivoire?

Question

Suppose that two countries, Vietnam andCôte d’Ivoire, produce coffee. The currencyunit used in Vietnam is the dong (VND).Côte d’Ivoire is a member of CommunauteFinanciere Africaine (CFA), a currency unionof West African countries that use theCFA franc (XOF). In Vietnam, coffee sellsfor 5,000 dong (VND) per pound. The ex-change rate is 30 VND per 1 CFA franc,EVND / XOF = 30.a. If the law of one price holds, what is theprice of coffee in Côte d’Ivoire, measured inCFA francs?b. Assume the price of coffee in Côte d’Ivoireis actually 160 CFA francs per pound of cof-fee. Compute the relative price of coffee inCôte d’Ivoire versus Vietnam. Where willcoffee traders buy coffee? Where will theysell coffee in this case? How will these trans-actions affect the price of coffee in Vietnam?In Côte d’Ivoire?

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Solution

a. If the law of one price holds, the price of coffee in Côte d’Ivoire, measured in CFA francs, would be the price of coffee in Vietnam divided by the exchange rate. So, 5000 VND / 30 VND/XOF = 166.67 XOF per pound of coffee.

b. If the price of coffee in Côte d’Ivoire is actually 160 CFA francs per pound of coffee, the relative price of coffee in Côte d’Ivoire versus Vietnam is 160 XOF / 166.67 XOF = 0.96. This means coffee is cheaper in Côte d’Ivoire than in Vietnam. Therefore, coffee traders will buy coffee in Côte d’Ivoire and sell it in Vietnam. This will increase the demand for coffee in Côte d’Ivoire, raising its price, and increase the supply of coffee in Vietnam, lowering its price. Over time, this should lead to the prices in the two countries converging, assuming no transportation costs or trade barriers.

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