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A US based computer manufacture produces and sells laptops in South America thro

ID: 2803921 • Letter: A

Question

A US based computer manufacture produces and sells laptops in South America through two manufacturing facilities: one in Argentina and the other in Brazil. The following applies:

Argentina

Brazil

Investment price

200 million US$

200 million US$

Cost per Laptop

900 pesos

600 reals

Price per Laptop

1200 pesos

800 reals

Projected Annual Earnings

150 million pesos

100 million reals

Exchange Rate

Pesos 3 / US$

Reals 2/US$

If Brazil real depreciates 20% against the US$, what is the return on investment in Brazil, if other things remain the same?

15%

20%

25%

30%

Argentina

Brazil

Investment price

200 million US$

200 million US$

Cost per Laptop

900 pesos

600 reals

Price per Laptop

1200 pesos

800 reals

Projected Annual Earnings

150 million pesos

100 million reals

Exchange Rate

Pesos 3 / US$

Reals 2/US$

Explanation / Answer

Projected Annual Earnings in Reals = 100 million reals

Current Exchange rate for Real is 1US$ = 2 Reals

It is given that Real depreciates 20% against US$

Therefore, new exchange rate is

1 US$ = 2 Reals * 1.20

1 US$ = 2.4 Reals

Projected Annual Earnings in US$ = 100 Million Reals / 2.4 Reals

= US$41.67 Million

Return on Investment = (41.67 / 200) * 100

= 0.20835 * 100

= 20.835%

The answer is nearer to 20%.

If there was no change in exchange rate, then the rate would be 1 US$ = 2 Reals

Earnings would be = (100 / 2)

= US$ 50 Million

Return would be = (50 / 200) * 100

= 25%

But because of depreciation in the exchange rate, return on investment has reduced to 20%.

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