Principles of Macroeconomics (12th Edition)
Principles of Macroeconomics (12th Edition)
12th Edition
ISBN: 9780134061115
Author: CASE
Publisher: PEARSON
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Chapter 19, Problem 3.5P
To determine

The impact of change in the exchange rate

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When Great Britain voted to leave the eurozone, the pound depreciated 17% against the dollar. It also raised fears that the eurozone, which uses the euro as a common currency, would fall apart. Suppose that the dollar is considered safer than the euro, given these conditions. The following graph shows the market for dollars, with the quantity of dollars measured along the horizontal axis and the price of dollars in terms of euros measured along the vertical axis (in other words, the euro/dollar exchange rate).
Suppose that you hold a piece of land in the city of London that you may want to sell in one year. As a U.S. resident, you are concerned with the dollar value of the land. Assume that if the British economy booms in the future, the land will be worth £2,000, and one British pound will be worth $1.50. If the British economy slows down, on the other hand, the land will be worth less, say, £1,500, but the pound will be stronger, say, $1.60 per pound. You feel that the British economy will experience a boom with a 60 percent probability and a slowdown with a 40 percent probability. Required: Estimate your exposure (b) to the exchange risk. Note: Negative amount should be indicated by a minus sign. Compute the variance of the dollar value of your property that is attributable to exchange rate uncertainty.
Using data from The Economist's Big Mac Index for 2019, the following table shows the local currency price of a Big Mac in several countries as well as the actual exchange rate between each country and the United States. At the time of the data collection, a Big Mac would have cost you $5.74 in the United States and GBP 3.29 in the United Kingdom. The actual exchange rate between the British pound and the U.S. dollar was $1.25 per pound. The dollar price of a Big Mac purchased in the United Kingdom was, therefore, computed as follows: Dollar price of a Big Mac in the United KingdomDollar price of a Big Mac in the United Kingdom  =  =  GBP 3.29×$1.25GBP 1.00GBP 3.29×$1.25GBP 1.00    =  =  $4.11$4.11   For the price you paid for a Big Mac in the United States, you could have purchased a Big Mac in the United Kingdom and had some change left over for fries! Complete the final column of the table by computing the dollar price of a Big Mac for the countries where this amount is…
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