FRM Part I · FRM Exam Part I · Country Risk: Determinants, Measures, and Implications
A valuation of a Mexican subsidiary is done in Mexican pesos. Expected peso cash flows are discounted at a USD-based cost of capital of 9.0% with no adjustment for currency. Expected long-run inflation is 4.0% in Mexico and 2.0% in the US. Which statement is correct about the consistent treatment?
Peso cash flows should be discounted at roughly 11%, because the USD rate of 9.0% must be adjusted upward for the 2-point inflation differential between Mexico and the US. Cash flows and discount rates have to be in the same currency, so leaving the USD rate unchanged is inconsistent.
- AThe peso cash flows should be discounted at approximately 11.0%, adjusting the USD rate for the inflation differentialCorrect
- BThe USD rate is acceptable because inflation affects only cash flows, not discount rates
- CThe discount rate should be reduced to about 7.0% because Mexican inflation is higher
- DThe rate should be left at 9.0% as long as a country risk premium is added to cash flows
Explanation
Cash flows and discount rates must use the same currency. Converting a USD rate to pesos: (1.09)×(1.04/1.02) − 1 ≈ 11.14%, roughly 11%. Lowering the rate for higher inflation reverses the adjustment.
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