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a.
What
would you estimate is the difference between the annual inflation rates of the
United States and Japan?
1.
Expected Spot
Rates
[LO2] Suppose the spot exchange rate for the Hungarian forint is HUF 204.32.
The inflation rate in the United States will be 1.9 percent per year. It will
be 4.5 percent in Hungary. What do you predict the exchange rate will be in one
year? In two years? In five years? What relationship are you using?
2.
Capital
Budgeting
[LO2] Lakonishok Equipment has an investment opportunity in Europe. The project
costs €12 million and is expected to produce cash
flows of €1.8 million in Year 1, €2.6 million in Year 2, and €3.5 million in
Year 3. The current spot exchange rate is $1.36/€ ;the current risk-free rate
in the United States is 2.3 percent, compared to that in Europe of 1.8 percent.
The appropriate discount rate for the project is estimated to be 13 percent,
the U.S cost of capital for the company. In addition, the subsidiary can be
sold at the end of three years for an estimated €8.9 million. What is the NPV
of the project?
3.
Capital
Budgeting [LO2]
You are evaluating a proposed expansion of an existing subsidiary locatd in
Switerzland. The cost of the expansion would be SF 21 million. The cash flows
from the project would be SF 5.9 million per year for the next five years. The
dollar required return is 12 percent per year, and the current exchange rate is
SF 1.09. The going rate on Eurodollars is 5% per year. It is 4% per year on
Eurowiss.
a.
What
do you project will happen to exchange rates over the next four years?
b.
Based
on your answer in (a), convert the projected franc flows into dollars flows and
calculate the NPV.
c.
What
is the required return on franc flows? Base on your answer, calculate the NPV
in francs and then convert to dollars.
4.
Translation
Exposure
[LO3] Atreides International has operations in Arrakis. The balance sheet for
this division in Arrakeensolaris shows assets of 27,000 solaris, debt in the
amount of 11,000 solaris, and equity of 16,000 solaris.
a.
If
the current exchange ratio is 1.50 solaris per dollar, what does the balance
sheet look like in dollars?
b.
Assume
that one year from now the balance sheet in solaris is exactly the same as at
the beginning of the year. If the exchange rate is 1.60 solaris per dollar,
what does the balance sheet look like in dollars now?
c.
Rework
part (c) assuming the exchange rate is 1.41 solaris per dollar.
5.
Translation
Exposure
[LO3] In the previous problem, assume the equity increases by 1,250 solaris due
to retained earnings. If the exchange rate at the end of the year is 1.54
solaris per dollar, what does the balance sheet look like?
6.
Using the Exact
International Fischer Effect [LO2] From or discussion of the Fischer
effect in Chapter 7, we know that the actual relationship between a nominal
rate, R, a real rate, r, and an inflation rate, h, can be written as:
1 + r = (1 + R)/(1 + h)
This is the domestic Fischer effect.
a.
What
is the nonapproximate form of the international Fischer effect?
b.
Based
on your answer in (a), what is the exact form for UIP? (Hint: Recall the exact
form of IRP and use UFR)
c.
What
is the exact form for relative PPP? (Hint: Combine your previous two answers.)
d.
Recalculate
the NPV for the Kihlstrom drill bit project (discussed in Section 21.5) using
the exact forms for UIP and the international Fischer effect. Verify that you
get precisely the same answer either way.
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