Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Binko is building a manufacturing plant in Taiwan at a cost of $10 million. The

ID: 2764780 • Letter: B

Question

Binko is building a manufacturing plant in Taiwan at a cost of $10 million. The project will last 5 years and the following cash flows (in Taiwanese dollars) are projected: Year 1: 64.3 million, Year 2: 71.2 million, Year 3: 93.6 million, Year 4: 121.8 million, Year 5: 109.6 million. The company usually uses a discount rate of 7.5 percent for domestic projects but is adding a 2.5 percent country risk premium for this project. The current spot exchange rate is 32.03 TWD/$. The risk free rate in the United States is currently 2.5 percent, and the risk free rate in Taiwan is currently 6 percent. The projected interest rates for the next four years are shown below. What is the NPV of the project?

1 year

2 years

3 years

4 years

5 years

U. S. interest rate

2.5

2.5

2.6

2.7

2.7

Taiwan interest rate

6.9

6.7

6.4

6.2

6.2

1 year

2 years

3 years

4 years

5 years

U. S. interest rate

2.5

2.5

2.6

2.7

2.7

Taiwan interest rate

6.9

6.7

6.4

6.2

6.2

Explanation / Answer

CALCULATION OF NPV (Amount in Million dollars)

________________________________________________________________________________________

YEAR           CASH FLOWS(TWD)       EXCHANGE RATE         NET CASH FLOWS (US$)   PV @10% PV OF CF

0                        320.30                              30.03                                 -10.000                                1              (10.000)

1                          64.3                                30.71                                   2.093                                0.909          1.901

2                          71.2                                30.76                                  2.314                                 0.826          1.911

3                          93.6                                30.89                                  3.030                                 0.751          2.276

4                          121.8                              30.97                                  3.933                                 0.683          2.069

5                          109.6                              30.97                                  3.539                                 0.621          2.198

NET PRESENT VALUE                                                                                                                                    $ 0.355

Decsion : Since NPV is positive, project may be accepted.

Year 0                        32.03 spot rate

Year 1              32.03 + 1+0.025/1+0.069 = 30.71

year 2              32.03 + 1.025/1.067 = 30.76

Year 3             32.03 + 1.026/1.064 = 30.89

Year 4             32.03 + 1.027/1.062 = 30.77

Year 5             32.03 + 1.027/1.062 = 30.77