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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.

Percentage

Currency

Change

Probability

Effective Rate

Canadian dollar

2.0%

30%

(1.06)(1.02) - 1 = 8.12%

Canadian dollar

4.0%

70%

(1.06)(1.04) - 1 = 10.24%

Japanese yen

-3.0%

60%

(1.10)( .97) - 1 = 6.70%

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.

Canadian

Japanese

Joint

Portfolio

Dollar

Yen

Probability

Effective Rate

8.12%

6.70%

(.3)(.6) = .18

(.5)( 8.12%) + (.5)( 6.70%) = 7.41%

8.12%

11.10%

(.3)(.4) = .12

(.5)( 8.12%) + (.5)(11.10%) = 9.61%

10.24%

6.70%

(.7)(.6) = .42

(.5)(10.24%) + (.5)( 6.70%) = 8.47%

10.24%

11.10%

(.7)(.4) = .28

(.5)(10.24%) + (.5)(11.10%) = 10.67%

1.00

Step 3.

Determine effective financing rate of portfolio.

(.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

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