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QUESTION 19 Wizz Company plans to invest in a project in Singapore. The project requires an...

QUESTION 19

  1. Wizz Company plans to invest in a project in Singapore. The project requires an initial investment of SGD592,000 and is expected to produce cash inflows of SGD198,000 a year for four years. The risk-free rate in Singapore is 2.60 percent and the risk-free rate in the U.S. is 2.10 percent. The current spot rate is SGD1 = USD.72. Wizz's required return on US dollar investment of this type is 10%. What is the net present value of this project in U.S. dollars?

    a

    $32,910

    b

    $16,347

    c

    $28,533

    d

    $20,328

    e

    $24,656

Solutions

Expert Solution

Given

SGD 1 = USD 0.72

Risk free rate in Singapore = 2.6%

Risk free rate in U.S = 2.10%

Computation of 1 year forward rate

SGD 1 = USD 0.72

SGD 1 ( 1+ Interest rate in singapore ) ^1 = USD 0.72 ( 1+Interest rate in USA)^1

SGD 1 ( 1+0.026)^1 = USD 0.72( 1+0.021)^1

SGD ( 1.026)^1 = USD 0.72 ( 1.021)^1

SGD 1.026 = USD 1.021*0.72

SGD 1.026 = USD 0.73512

SGD = USD 0.73512/1.026

SGD = USD 0.716491

Computation of 2 year forward rate

SGD 1 = USD 0.72

SGD 1 ( 1+ Interest rate in singapore ) ^2 = USD 0.72 ( 1+Interest rate in USA)^2

SGD 1 ( 1+0.026)^2 = USD 0.72( 1+0.021)^2

SGD ( 1.026)^2 = USD 0.72 ( 1.021)^2

SGD 1.052676 = USD 1.042441*0.72

SGD 1.052676 = USD 0.750558

SGD = USD 0.750558/1.052676

SGD = USD 0.7130

Computation of 3 year forward rate

SGD 1 = USD 0.72

SGD 1 ( 1+ Interest rate in singapore ) ^3 = USD 0.72 ( 1+Interest rate in USA)^3

SGD 1 ( 1+0.026)^3 = USD 0.72( 1+0.021)^3

SGD ( 1.026)^3 = USD 0.72 ( 1.021)^3

SGD 1.080046 = USD 0.72*1.064332

SGD 1.080046 = USD 0.766319

SGD = USD 0.766319/1.080046

SGD = USD 0.709525

Computation of 4 year forward rate

SGD 1 = USD 0.72

SGD 1 ( 1+ Interest rate in singapore ) ^4 = USD 0.72 ( 1+Interest rate in USA)^4

SGD 1 ( 1+0.026)^4 = USD 0.72( 1+0.021)^4

SGD ( 1.026)^4 = USD 0.72 ( 1.021)^4

SGD 1.108127 = USD 0.72*1.086683

SGD 1.108127 = USD 0.782412

SGD = USD 0.782412/1.108127

SGD = USD 0.706067

Year Forward Rate
1 SGD 1 = USD 0.716491
2 SGD 1 = USD 0.7130
3 SGD 1 = USD 0.709525
4 SGD 1 = USD 0.706067
Year Cash flow in SGD Cash flow in USD C alculation Cash flow in USD
0 -592000 -592000*0.72 -426240.0000
1 198000 198000*0.716491 141865.2180
2 198000 198000*0.7130 141174.0000
3 198000 198000*0.709525 140485.9500
4 198000 198000*0.706067 139801.2660
137086.4340

Computation of NPV

Year Cash flow in USD Disc @ 10% Discounted Cash flows
0 -426240.0000 1 -426240
1 141865.2180 0.9091 128968.38
2 141174.0000 0.8264 116672.7273
3 140485.9500 0.7513 105549.1736
4 139801.2660 0.6830 95486.14576
NPV 20436.42658

* NPV = Present value of Cash inflows - Intial outlay

NPV of a project is $ 20436.42568.So option d ) $ 20328 is the correct answer.

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