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The risk of foreign Exchange Exposure 1. Introduction 2. Exchange Risk with “One Currency” 3. Exchange Risk with “Multiple Currencies” 4. Conclusion
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1. Introduction -Before: We have already talked about the different kinds of Foreign Exchange Exposure: -Translations Exposure (Accounting) -Transaction Exposure (Accounting) - Economic Exposure (Economic) -Now: We will analyze the RISK associated to this exposure.
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2. Exchange Risk with one currency Three types of exposure: –Exchange rate is fixed No variability = 0 (No Risk) –Exchange rate is variable Low variability 0 (Low Risk) High Variability 0 (High Risk)
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2. Exchange Risk with one currency z $1.1/£ $1.4/£ $1.7/£ $2/£ $2.3/£ $2.6/£ $2.9/£ Suppose: - - Future Exchange rate is $2/£ = 15 % 68% 95%
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2. Exchange Risk with one currency z $1.1m $1.4m $1.7m $2m $2.3m $2.6m $2.9m Suppose: £1’000,000 Receivable (£1m) 68% 95%
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2. Exchange Risk with one currency What to do as managers: Analyze the volatility of the exchange rate
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3. Exchange Risk with multiple currencies -Is more complex -It is necessary to analyze the correlation among currencies.
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3. Exchange Risk with multiple currencies
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Risk = Sum of exchange Variances + Sum of Covariance of particular currencies Example: Variance of annual percentage changes in Yen/$ is 600 percentage points, and Variance of DM/$ is 550 percentage points. From Table 8-2, correlation is 0.624 thus the covariance is 346.5. What is the exchange risk associated with $100 of Yen and $100 of DM? Risk = Sum of exchange Variances + Sum of Covariance of particular currencies
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3. Exchange Risk with multiple currencies 100^2Var(Ry) + 100^2Var(Rdm) + 2(100^2)Cov(Ry,Rdm) Var = 100^2(600+500+2(346.5)) = 100^2*1793 SD = Square Root of 100^2*1793 = 4234 cents or $42.34
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4. Conclusion As managers we have to take into account the risk of our exposure in different currencies.
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