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2022-10-08 来源:乌哈旅游
1Chapter 13Exchange Rates and the Foreign ExchangeMarket: An Asset Approach

1 Essay Questions

1. In the year 2000, Americans flocked to Paris. What economic forces made French goods appear so cheap to residents of the United States?

Answer: One major factor was a sharp fall in the dollar price of France’s currency.

2. Who are the major participants in the foreign exchange market?

Answer: (1) Commercial banks

(2) Corporations

(3) Nonbank financial institutions

(4) Central banks

3. Based on the case study, “A Tale of Two Dollars,” explain why errors in the currency market can be more costly to the Toronto Blue Jays baseball team than errors in the field.

Answer: See page 329. The Toronto team has most of its revenue paid in Canadian dollars, but most of its expenses are players’ salaries paid in U.S. dollars. Since the Canadian dollar has depreciated substantially, it causes big losses for the team by raising its expenses relative to its receipts. To protect itself from the vagaries of the exchange rate, the team tries to predict its need for U.S. dollars ahead of time so that it can sell Canadian dollars and purchase the American currency in advance to lock in the exchange rate. Errors in the currency market can thus be more costly to the team than on the field.

4. Explain what is a “vehicle currency.” Why is the U.S. dollar considered a vehicle currency?

Answer: A vehicle currency is one that is widely used to denominate international contracts made by parties who do not reside in the country that issues the vehicle currency. Since in 2004, nearly ninety percent of foreign exchange transactions involve exchanges of foreign currencies for U.S. dollars; therefore, it is considered a vehicle currency.

5. What are the factors affecting the demand for foreign currency?

Answer: Three factors affect the demand for foreign currency. They are expected return, risk and liquidity.

6. What is the interest parity condition?

Answer: The condition that the expected returns on deposits of any two currencies are equal when measured in the same currency is called the interest parity condition. It implies that potential holders of foreign currency deposits view them as equally desirable assets, i.e. risk is assumed away.

In notational forms:

R$= RE+ (Ee$/E – E$/E)/E$/E

7. Discusses the effects of a rise in the dollar interest rate on the exchanger rate.

Answer: For a given euro interest rate and constant expected exchange rate, a rise in the interest rate offered by dollar deposits causes the dollar to appreciate.

8. Discusses the effects of a rise in the interest rate paid by euro deposits on the exchanger rate.

Answer: For a given U.S. interest rate and a given expectation with regards to the future exchange rate, a rise in the interest rate paid by euro deposits causes the dollar to depreciate.

9. Explain the purpose of the following figure. Show the effects of German unification on Germany’s interest rate.

Answer: The main purpose is to show that different interest rates exist for different assets since foreign currencies are different assets. From 1990 to 1995, the DM interest rate is higher than that of the United States. Excluding this period, the dollar rates are higher reflecting higher inflation in the United States and depreciating of the dollar versus the German currency.

10. Explain the purpose of the following figure.

Answer: To show that spot and forward exchange rates are in general close to each other.

11. Explain the purpose of the following figure in the context of the interest rates on the dollar and the Japanese Yen between 1980 and 2004. (Figure 13-2 on page 337g)

Answer: Since the dollar and the Yen interest rates are not measured in comparable terms, they can move quite differently over time. Except for a period from 1990 to 1993 when the Yen interest rate was higher than the dollar, dollar interest rates have been higher than the Yen, indicating depreciation of the dollar against the Yen.

12. Explain why depreciation in a country’s currency today lowers the expected domestic currency return on foreign currency deposits.

Answer: We have assumed that expected future currency rates and interest rates do not change. A depreciation today means that the dollar now needs to depreciate by a smaller amount to reach any given expected future level. If the expected future dollar/euro exchange rate does not change when the dollar depreciates today, the dollar’s expected future depreciation against the euro falls. Because interest rates are unchanged, today’s dollar depreciation makes euro deposits less attractive compared with dollar deposits. The future dollar payoff of a euro is the same, but the deposit’s current dollar cost increases.

13. What can you learn from the following figure? (Refers updated figure 13-1 with new data on pages 333a–333f).

Answer: The graph shows the trend of the dollar/pound spot and forward exchange rates between 1981 and 2004. We can see that spot and forward rates tend to move in a highly correlated fashion.

14. Explain why the interest parity condition must hold if the foreign exchange market is in equilibrium.

Answer: The foreign exchange market is in equilibrium when deposits of all currencies offer the same expected rate of return. Potential holders of foreign currency deposits view them all as equally desirable assets. If expected rate of return on any currency deposit is higher or lower than the other, there will exist an excess supply or demand for that currency because one will yield a higher return than the other.

15. Explain risk and liquidity of assets.

Answer: Risk is the variability an asset contributes to a savers’ wealth. An asset’s real return can be unpredictable and savers dislike this uncertainty if the return fluctuates widely. Liquidity refers to the ease with which an asset can be sold or exchanged for goods. Cash is the most liquid of assets because it is always acceptable at face value as payment for goods or other assets. Thus, savers consider an asset’s liquidity and its expected return and risk in deciding how much of it to hold.

2 Quantitative/Graphing Problems

1. Compute how many dollars would it cost to buy an Edinburgh Woolen Mill sweater costing

50 British pounds for the following exchange rates?

Exchange Rate

Number of Dollars per

Price of a Sweater

One British Poundin British PoundsPrice in Dollars
150
1.150
1.250
1.2550
1.350
1.450
1.550
1.650
1.750
1.7550
1.850
1.950
250
Answer:

Exchange Rate

Number of Dollars per

Price of a Sweater

One British Poundin British PoundsPrice in Dollars
150$50.00
1.150$55.00
1.250$60.00
1.2550$62.50
1.350$65.00
1.450$70.00
1.550$75.00
1.650$80.00
1.750$85.00
1.7550$87.50
1.850$90.00
1.950$95.00
250$100.00
2. Compute how many British pounds would it cost to buy a pair of American designer jeans costing $45?

Exchange Rate

Number of Dollars per

Price of a Pair of

One British PoundAmerican Designer JeansPrice in British Pounds
145
1.145
1.245
1.2545
1.345
1.445
1.545
1.645
1.745
1.7545
1.845
1.945
245
Answer:

Exchange Rate

Number of Dollars per

Price of a Pair of

American Designer

One British PoundJeansPrice in British Pounds
14545
1.14540.90909091
1.24537.5
1.254536
1.34534.61538462
1.44532.14285714
1.54530
1.64528.125
1.74526.47058824
1.754525.71428571
1.84525
1.94523.68421053
24522.5
3. Find the exchange rate between the dollar and the British pounds for the following cases

Price of a Pair of

American Designer

Exchange Rate

Number of Dollars per

JeansPrice in British Poundsone British Pound
4510
4520
4530
4540
4550
4560
4570
4580
4590
45100
45110
45120
45130
45140
Answer:

Price of a Pair of

American Designer

Exchange Rate

Number of Dollars per

JeansPrice in British Poundsone British Pound
45104.5
45202.25
45301.5
45401.125
45500.9
45600.75
45700.642857143
45800.5625
45900.5
451000.45
451100.409090909
451200.375
451300.346153846
451400.321428571
4. For the following 15 cases, compare the dollar rates of return on dollar and euro deposits:

Dollar

Interest

Euro

Interest

Expected

Rate of

Dollar

Depreciation

Rate of

Return

Difference

Between

Dollar and

Euro

CaseRate, R$Rate, REAgainst EuroDeposits
10.10.060
20.10.060.04
30.10.060.08
40.10.12–0.04
50.10.180
60.150.060
70.150.060.04
80.150.060.08
90.150.12–0.04
100.150.180
110.20.060
120.20.060.04
130.20.060.08
140.20.12–0.04
150.20.180
Answer:

Dollar

Interest

Euro

Interest

Expected

Rate of

Dollar

Depreciation

Rate of

Return

Difference

Between

Dollar and

Euro

CaseRate, R$Rate, REAgainst EuroDeposits
10.10.0600.04
20.10.060.040
30.10.060.08–0.04
40.10.12–0.040.02
50.10.180–0.08
60.150.0600.09
70.150.060.040.05
80.150.060.080.01
90.150.12–0.040.07
100.150.180–0.03
110.20.0600.14
120.20.060.040.1
130.20.060.080.06
140.20.12–0.040.12
150.20.1800.02
5. For the table above (or below) calculate the EXACT relationship.

Expected

Rate of

Dollar

Depreciation

Against Euro

Rate of

Return

Difference

Between

Dollar and

Euro

Exact

CaseR$REEDepositsFormula
10.10.0600.04
20.10.060.040
30.10.060.08–0.04
40.10.12–0.040.02
50.10.180–0.08
60.150.0600.09
70.150.060.040.05
80.150.060.080.01
90.150.12–0.040.07
100.150.180–0.03
110.20.0600.14
120.20.060.040.1
130.20.060.080.06
140.20.12–0.040.12
150.20.1800.02
Answer:

Expected

Rate of

Dollar

Depreciation

Against Euro

Rate of

Return

Difference

Between

Dollar and

Euro

Exact

CaseR$REEDepositsFormula
10.10.0600.040.04
20.10.060.040–0.0024
30.10.060.08–0.04–0.0448
40.10.12–0.040.020.0248
50.10.180–0.08–0.08
60.150.0600.090.09
70.150.06–0.040.050.0476
80.150.060.080.010.0052
90.150.12–0.040.070.0748
100.150.180–0.03–0.03
110.20.0600.140.14
120.20.060.040.10.0976
130.20.060.080.060.0552
140.20.12–0.040.120.1248
150.20.1800.020.02
6. Calculate the interest rate in the United States, if interest parity condition holds, for the following

15 cases:

Expected

Rate of Dollar

Depreciation

Against Euro

CaseREER$
10.060
20.060.04
30.060.08
40.12–0.04
50.180
60.060
70.060.04
80.060.08
90.12–0.04
100.180
110.060
120.060.04
130.060.08
140.12–0.04
150.180
Answer:

Expected

Rate of Dollar

Depreciation

Against Euro

CaseREER$
10.0600.06
20.060.040.1
30.060.080.14
40.12–0.040.08
50.1800.18
60.0600.06
70.060.040.1
80.060.080.14
90.12–0.040.08
100.1800.18
110.0600.06
120.060.040.1
130.060.080.14
140.12–0.040.08
150.1800.18
7. Calculate the interest rate in the euro zone if interest parity condition holds, for the following

15 cases:

Expected

Rate of Dollar

Depreciation Against Euro

CaseREER$
100.06
20.040.11
30.080.16
4–0.040.05
500.1
600.11
70.040.16
80.080.21
9–0.040.1
1000.15
1100.16
120.040.21
130.080.26
14–0.040.15
1500.2
Answer:

Expected

Rate of Dollar

Depreciation Against Euro

CaseREER$
10.0600.06
20.070.040.11
30.080.080.16
40.09–0.040.05
50.100.1
60.1100.11
70.120.040.16
80.130.080.21
90.14–0.040.1
100.1500.15
110.1600.16
120.170.040.21
130.180.080.26
140.19–0.040.15
150.200.2
8. Assume that the euro interest rate is constant at 5 percent, and that the expected exchange rate is 1.05 dollars per one euro. Find the expected dollar return on euro deposits for the following cases.

Today’s

Dollar/Euro

Exchange

Interest

Rate on

Euro

Expected

Dollar

Depreciation

Rate

Against

Euro

Expected Dollar

Return on Euro

Deposits

CaseRateDeposits(1.05 – E)/ERe + (1.05 – E)/E
11.07
21.06
31.05
41.04
51.03
61.02
71.01
81
90.99
100.98
Answer:

Today’s

Dollar/Euro

Exchange

Interest

Rate on

Euro

Expected

Dollar

Depreciation

Rate

Against

Expected Dollar

Return on Euro

Deposits

CaseRateDepositsEuro (1.05 – E)/ERe + (1.05 – E)/E
11.070.05–0.01869160.031308411
21.060.05–0.0094340.040566038
31.050.0500.05
41.040.050.00961540.059615385
51.030.050.01941750.069417476
61.020.050.02941180.079411765
71.010.050.0396040.08960396
810.050.050.1
90.990.050.06060610.110606061
100.980.050.07142860.121428571
9. For the data in Question 8, plot today’s dollar/euro exchange rate against the expected dollar return on euro deposits.

Answer:

10. Using the data from Question 8 and the plot in Question 9, show that if the interest rate in the

United States is 10 percent, the exchange rate will be 1, and if the interest rate in the United States

is 12 percent, the exchange rate will be 0.98 dollars per euro.

Answer: Points 1 and 2 in the figure below correspond to these two equilibrium points.

11. Assume the U.S. interest rate is 10 percent, and the interest rate on euro deposits is 5 percent. For the following exchange rates, find the forward exchange rates.

Today’s

Dollar/Euro

Exchange Rate

E

Forward

Exchange Rate

F

$/E$/E
1
1.05
1.1
1.2
1.3
Answer: Using the covered interest rate parity will yield the second column in the table:

ef7413da4a40a5520f33b13a1adc9c1a.png

Today’s

Dollar/Euro

Exchange Rate

E

Forward

Exchange Rate

F

$/E$/E
11.05
1.051.1025
1.11.155
1.21.26
1.31.365
12. Calculate the Expected Dollar Depreciation Rate against the euro and the expected dollar return on euro deposits if the expected exchange rate is $1.10 per euro.

Today’s Dollar/Euro

Exchange Rate

Interest Rate on Euro

Deposits

R

Expected Dollar

Depreciation Rate

Against Euro

Expected Dollar

Return on Euro

Deposits

38d55fd4c76808481d1af0cca1db906e.pnga5aeeeae5f98c8775af7ffe1e73bbc25.pnge51d2749c8f41e97e428cc9a36ce43bf.png
1.100.03
1.080.03
1.060.03
1.040.03
1.020.03
Answer:

Today’s Dollar/Euro

Exchange Rate

Interest Rate on Euro

Deposits

R

Expected Dollar

Depreciation Rate

Against Euro

Expected Dollar

Return on Euro

Deposits

38d55fd4c76808481d1af0cca1db906e.pnga5aeeeae5f98c8775af7ffe1e73bbc25.pnge51d2749c8f41e97e428cc9a36ce43bf.png
1.100.0300.03
1.080.030.0185190.048519
1.060.030.0377360.067736
1.040.030.0576920.087692
1.020.030.0784310.108431
13. Show graphically a drop in the interest rate paid by euro deposits. What is the effect on the dollar?

Answer: A drop in the interest rate from R1$ to R2$ causes the dollar to depreciate from

69d5c2f4c54ed5274fd9a2a6d83cd02b.png (point 1) to d079fb23c95b55b4c39bf6f47575d9a7.png (point 2).

14. Show graphically a drop in the interest rate offered by dollar deposits, R$, and the effect on the exchange rate, cdfa037caf27693076c1933b0764fae9.png

Answer:

A drop in the interest rate paid by euro deposits causes the dollar to appreciate from 69d5c2f4c54ed5274fd9a2a6d83cd02b.png (point 1) to d079fb23c95b55b4c39bf6f47575d9a7.png(point 2). The expected future exchange rate also drops.

15. Determine for each, whether the interest parity condition holds or not, if ac190bfe31f4cfd47b6934ca230d6cf8.png

Interest Rate for

the Dollar

R

Interest Rate for

the Euro

R

Exchange Rate

$38d55fd4c76808481d1af0cca1db906e.png
0.0401.037
0.070.020.99
0.080.080.948
0.090.041.047
0.20.11
0.100.99
0.120.040.948
Answer:

Interest Rate

for the Dollar

R

Interest Rate

for the Euro

R

Expected Rate

of Dollar

Depreciation

Against Euro

Interest Parity

$59a23e283a086d733ea84bfa01270fc7.pngCondition Holds?
0.0400.06No
0.070.020.11No
0.080.080.16Yes
0.090.040.05Yes
0.20.10.1Yes
0.100.11No
0.120.040.16Yes

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