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You use today’s spot rate of the Brazilian real to forecast the spot rate of the

ID: 2724696 • Letter: Y

Question

You use today’s spot rate of the Brazilian real to forecast the spot rate of the real for one month ahead. Today’s spot rate is $.4558. Use the value-at-risk method to determine the maximum percentage loss of the Brazilian real over the next month based on a 95 percent confidence level. Use the spot exchange rates at the end of each of the last 6 months as shown below to conduct your analysis. Forecast the exchange rate that would exist under these conditions.

END OF MONTH VALUE OF BRAZILIAN REAL 1 $.4251 2 .4203 3 .4196 4 .4523 5 .4417 6 .4558

Explanation / Answer

The standard deviation of the real value of last six months = 4.09%.

The maximum expected loss in the currency’s value = 1.65 × 4.09% = 6.75%.

If this loss occurs, the exchange rate of the real in one month = $0.4558 × (1 – .0675) = $0.4250.

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