Comparing Market-based Forecasts
Response to the following problem:
For all parts, assume that interest rate parity exists, the prevailing 1-year U.S. nominal interest rate is low, and that you expect U.S. inflation to be low this year
a. Assume that the country Dinland engages in much trade with the United States and the trade involves many different products. Dinland has had a zero trade balance with the United States (the value of exports and imports is about the same) in the past. Assume that you expect a high level of inflation (about 40 percent) in Dinland over the next year because of a large increase in the prices of many products that it produces. Dinland presently has a 1-year risk-free interest rate of more than 40 percent. Do you think that the prevailing spot rate or the 1-year forward rate would result in a more accurate forecast of Dinland's currency (the din) 1 year from now? Explain
b. Assume that the country Freeland engages in much trade with the United States and the trade involves many different products. Freeland has had a zero trade balance with the United States (the value of exports and imports is about the same) in the past. You expect high inflation (about 40 percent) in Freeland over the next year because of a large increase in the cost of land (and therefore housing) in Freeland. You believe that the prices of products that Freeland produces will not be affected. Freeland presently has a 1-year risk-free interest rate of more than 40 percent. Do you think that the prevailing 1-year forward rate of Freeland's currency (the fre) would overestimate, underestimate, or be a reasonably accurate forecast of the spot rate 1 year from now? (Presume a direct quotation of the exchange rate, so that if the forward rate underestimates, it means that its value is less than the realized spot rate in 1 year. If the forward rate overestimates, it means that its value is more than the realized spot rate in 1 year.)