Case 2: Hedging Transaction Exposure Sarah Scott and George Stoeckert
The Case December 2012: DW orders part from Japan, incurs a payable of 200,000, JPY Parts are received in April Payment due in May
Part I
Associated Risk: Best/Worst Case Scenario JPYExchange RateMultiplierOutcome Range Best Case Scenario 200,000, $ 1,932, $ 960, Worst Case Scenario 200,000, $ 2,893,475.94
99% Confidence Interval: $ 62, JPY Transaction Exposure Today +/- Confidence IntervalOutcomeRange Upper Bound 200,000, $ 2,308, $ 2,371, $ 125, Lower Bound 200,000, $ 2,308, $ 2,245, Associated Risk: Simulated Distribution
Normal Distribution 99% Confidence Interval: JPYExchange RateMultiplierOutcomeRange Upper Bound 200,000, $ 2,290, $ 35, Lower Bound 200,000, $ 2,326, Associated Risk: Normal Distribution
Value at Risk Calculation VaR: Exchange RateJPYασΔtΔtVaR 4mo ,000, $ 367, mo ,000, $ 459, Δt in terms of 4 months
PHLX Options Estimated Spot Rate CallsOptionPremium Total Option Price Total Premium Price Total Combined Price April Spot Rate April Close Out April Close Out + Premium ProbabilityExercise Option? PHLX Option June $ 1,600, $ 916, $ 2,516, $ 2,462, $ 3,379, %YES PHLX Option June $ 1,600, $ 916, $ 2,516, $ 2,505, $ 3,422, %YES PHLX Option June $ 1,600, $ 916, $ 2,516, $ 2,548, $ 3,465, %YES Estimated Spot Rate CallsOptionPremium Total Option Price Total Premium Price Total Combined Price April Spot Rate April Close Out Close Out + PremiumProbabilityExercise Option? PHLX Option June $ 1,800, $ 725, $ 2,525, $ 2,462, $ 3,187, %YES PHLX Option June $ 1,800, $ 725, $ 2,525, $ 2,505, $ 3,230, %YES PHLX Option June $ 1,800, $ 725, $ 2,525, $ 2,548, $ 3,273, %YES Estimated Spot Rate CallsOptionPremium Total Option Price Total Premium Price Total Combined Price April Spot Rate April Close Out Close Out + PremiumProbabilityExercise Option? PHLX Option June $ 2,000, $ 590, $ 2,590, $ 2,462, $ 3,053, %YES PHLX Option June $ 2,000, $ 590, $ 2,590, $ 2,505, $ 3,096, %YES PHLX Option June $ 2,000, $ 590, $ 2,590, $ 2,548, $ 3,139, %YES
Frequency Distribution: 4-Month Changes
OTC Options: Estimated Spot Rate CallsOptionPremium Total Option Price Total Premium Price Interest EarnedTotal Combined Price March Spot Rate March Close Out March Close Out + Premium Probability Exercise Option? OTC Option March.009 $ $ $ 1,800, $ 816, $ 77, $ 2,538, $ 2,461, $ 3,278, %YES OTC Option March.009 $ $ $ 1,800, $ 816, $ 77, $ 2,538, $ 2,501, $ 3,317, %YES OTC Option March.009 $ $ $ 1,800, $ 816, $ 77, $ 2,538, $ 2,541, $ 3,357, %YES Estimated Spot Rate CallsOptionPremium Total Option Price Total Premium Price Interest EarnedTotal Combined Price March Spot Rate March Close Out March Close Out + Premium Probability Exercise Option? OTC Option March.01 $ $ $ 2,000, $ 639, $ 77, $ 2,562, $ 2,461, $ 3,101, %YES OTC Option March.01 $ $ $ 2,000, $ 639, $ 77, $ 2,562, $ 2,501, $ 3,141, %YES OTC Option March.01 $ $ $ 2,000, $ 639, $ 77, $ 2,562, $ 2,541, $ 3,180, %YES
Frequency Distribution: 3-Month Changes
Forward Alternative Requirement (Due March 15th) 200,000, Current Exchange Rate JPY/USD (12/15/12) Interest Rate US 6mo Interest Rate Japan 6mo Forward Rate Dec 6- May Month Forward Contract Cost $ 2,733,247.10
Cost Comparison: Hedging Alternatives
Part II Hedging Transaction Exposure
What would be the effective total cost (in USD) of the Japanese parts if you had advised… Using three months forward? Long 3 Month Forward (Dec & March) (Dec-Mar) 200,000,000 JPY * (3 Month FR) = $2,498, Rolled into new 3 month Forward and calculated the new 3 Month Forward Rate in March 2015: (Mar-June) 200,000,000 JPY * = $2,122, Cash Outflows from transactions = $374, $106, Short 1 Month Forward (May-June) Shorted 1 Month Forward to Close Position with opposite transactions (May-June) 200,000,000 JPY * (1 Month Forward) = $2,092,800 Cash inflow from transactions = $76, Cost of Forward Premiums = $404, Value of JPY in May = $2,008, Total Cost (excluding other undocumented fees) = $2,412,461.79
Using six months forward? (Dec-June) Long 6 Month JPY Forward 200,000,000 JPY * (6 Month FR) = $2,512, Value of JPY in June = $2,015, Cash Outflow of $496, (May-June) Short 1 Month JPY Forward 200,000,000 JPY * (1 Month FR) = $2,092,800 Cash Inflow of $76, Cost of Forward Premiums = $419,400 Value of JPY in May = $2,008, Total Cost (excluding other undocumented fees) = $2,427,400 What would be the effective total cost (in USD) of the Japanese parts if you had advised…
Using June Futures? Long (Dec-June) 200,000,000 JPY * (June Future Rate) = $2,514, Cash Outflow Close position with Short (May-June) 2000,000,000 JPY * = $2,000, Cash Inflow Total Cost of Future Premiums = $513,600 Value of JPY in May = $2,008, Total Cost of Future = $2,521,600
What would be the effective total cost (in USD) of the Japanese parts if you had advised… Using the OTC JPY Option? Call Both Options Invest JPY on March 17 th = 200,000,000 * = 200,091,880 JPY Interest Earned = 91,880 JPY Purchase JPY for Payment = 200,000,000 * = $2,000, Convert Interest = 91,880 JPY * = $ OTC.009 Total Cost = $2,616,200 - $ = $2,615, OTC.010 Total Cost = $2,639,520 - $ = $2,638,597.53
What would be the effective total cost (in USD) of the Japanese parts if you had advised… If the PHLX June Options had been… Total Cost of JPY with (June.008 Call) = $2,009, Total Cost of JPY with (June.009 Call) = $2,011, Total Cost of Option (June.010 Call) = $2,590,840.00
What would be the effective total cost (in USD) of the Japanese parts if you had advised… Left Position Open? Value of JPY in USD (Dec 2012) = $2,308, Additional Interest Income (Low Interest Rate Assumed) = $4, $2,308, * (.23%/6*12*(150/360)) = $4, Cash Inflow Value of JPY in May = 200,000,000 (JPY) * (St) = $2,008,000 USD Total Cost of JPY Less Additional Interest Income = $2,003,560.17
Final Comparison Open Position Is Most Risky but Least Expensive Left Position Open PHLX 3 Month Forwards 6 Month Forwards Futures OTC $2,003, $2,009, $2,412, $2,427, $2,521, $2,615,277.53