- •Chapter 20—Short-Term Financing
- •Solution:
- •Exhibit 20-1
- •30. Refer to Exhibit 20-2. What is the expected effective financing rate of the portfolio Luzar is contemplating (assume the two currencies move independently from one another)?
- •Solution:
- •31. Refer to Exhibit 20-2. What is the probability that the financing rate of the two-currency portfolio is less than the domestic financing rate?
- •Exhibit 20-3
30. Refer to Exhibit 20-2. What is the expected effective financing rate of the portfolio Luzar is contemplating (assume the two currencies move independently from one another)?
a. |
9.03%. |
b. |
7.00%. |
c. |
10.00%. |
d. |
7.59%. |
e. |
none of the above |
ANS: A
Solution:
Step 1. |
Determine effective financing rate for each currency under each possible scenario. |
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Percentage |
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Currency |
Change |
Probability |
Effective Rate |
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Canadian dollar |
2.0% |
30% |
(1.06)(1.02) - 1 = 8.12% |
|
Canadian dollar |
4.0% |
70% |
(1.06)(1.04) - 1 = 10.24% |
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Japanese yen |
-3.0% |
60% |
(1.10)( .97) - 1 = 6.70% |
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Japanese yen |
1.0% |
40% |
(1.10)(1.01) - 1 = 11.10% |
Step 2. |
Determine joint probabilities and effective financing rate of portfolio for each scenario. |
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Canadian |
Japanese |
Joint |
Portfolio |
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Dollar |
Yen |
Probability |
Effective Rate |
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8.12% |
6.70% |
(.3)(.6) = .18 |
(.5)( 8.12%) + (.5)( 6.70%) = 7.41% |
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8.12% |
11.10% |
(.3)(.4) = .12 |
(.5)( 8.12%) + (.5)(11.10%) = 9.61% |
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10.24% |
6.70% |
(.7)(.6) = .42 |
(.5)(10.24%) + (.5)( 6.70%) = 8.47% |
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10.24% |
11.10% |
(.7)(.4) = .28 |
(.5)(10.24%) + (.5)(11.10%) = 10.67% |
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1.00 |
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Step 3. |
Determine effective financing rate of portfolio. |
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(.18)(7.41%) + (.12)(9.61%) + (.42)(8.47%) + (.28)(10.67%) = 9.03% |
PTS: 1
31. Refer to Exhibit 20-2. What is the probability that the financing rate of the two-currency portfolio is less than the domestic financing rate?
a. |
12%. |
b. |
30%. |
c. |
100%. |
d. |
0%. |
e. |
none of the above |
ANS: D
SOLUTION: |
Since the domestic financing rate is 7%, the table above shows that there is no possibility that foreign financing with the portfolio of currencies is cheaper than domestic financing. |
PTS: 1