FREE online courses on Investment Decisions in Exchange Rates - Predicted
Exchange Rates
If the real rate of interest is the same in all countries
(due to the international mobility of capital) the International Fisher Effect
implies that differences in nominal interest rates will signal differences in
the expected rates of inflation across countries. Given that RUS is 6 percent per year and
that the German interest rate RDM is 11 percent per year, we would expect the
expected rate of inflation in Germany to be roughly 5 percent greater than the
expected rate of inflation in the U.S..
Relative Purchasing Power Parity implies that the expected
changes in exchange rates should reflect differences the expected rates of
inflation in the two countries in question,
= [ ]N
where E( S$/DM(t+n) ) denotes the exchange rate expected in n
periods. This formula implies that
over the next two years we can expect the following exchange rates
E( S$/DM(t+1) ) = $0.65/DM1 [ ],
= $0.6207/DM1 ,
and
E( S$/DM(t+2) ) = $0.65/DM1 [ ],
= $0.5928/DM1 .
The anticipated structure of exchange rates can be used to
convert the anticipated WV denominated cash flows to dollars, which can then be
discounted using the US cost of capital.
Cash Flows in 1000s of DM
0 1
2 3
Investment in DM
a.
Plant and Equipment
<DM 25,000>
b.
Working Capital <DM 5,000>
DM 5,000
DM Cash Flows
DM 20,000 DM 20,000
Total DM Cash Flows <DM 30,000> DM 20,000
DM 25,000
Projected Exchange Rate
$0.6500/DM1 $0.6207/DM1
$0.5928/DM
Projected Dollar Cash Flow
<$19,500> $12,414
$14,820
Assuming that the firm has a weighted average cost of capital
of 12 percent, the net present value of the projected dollar stream of cash
flows is $3,398 (1000s), which indicates that the project should be accepted.