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World Tours, Incorporated (WTI)
Cash Management Swap FINA 7360 Srilakshmi Bharthwaj Andrey Kolokoltsov Asal Shokati
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Keeping the seasonal factor out, we designed the swap:
Period Revenue Profit before Interest Swap Exchange Rate (St) Predicted Revenue Trend D Seasonal Effect on Revenue Seasonal Effect on Profits 1 2.04 1714.6 1400 280 22.4 2 2.111 1600 -1 -320 -25.6 3 2.103 1800 360 28.8 4 1622.8 1.989 1585.8 2000 -400 -32 5 2.022 2200 440 35.2 6 1941.6 -4.672 2.026 2400 -480 -38.4 7 2.033 2600 520 41.6 8 6.2192 1.899 2800 -560 -44.8 9 1.874 3374.2 3000 600 48 10 1.924 3200 -640 -51.2 11 138.86 1.856 3400 680 54.4 12 4.8368 1.614 3600 -720 -57.6 13 1.663 3800 760 60.8 14 2379.8 30.384 1.671 2409.4 4000 -800 -64 15 1.568 4200 840 67.2 16 1.57 2383.8 4400 -880 -70.4 17 4360.8 1.605 4430.8 4600 920 73.6 18 1.518 4800 -960 -76.8 19 4726.5 218.12 1.586 4759 5000 1000 80 20 2507.7 40.616 1.504 5200 -1040 -83.2 21 1.528 5400 1080 86.4 22 1.497 5600 -1120 -89.6 23 1.463 5800 1160 92.8 24 3176.1 94.088 1.558 3207.8 6000 -1200 -96 Revenue = Trend + Seasonal + ECI Factor + Random Trend = (200 x Period) Seasonal = .2 x D x Trend ECI Factor = .6 x (ER – 2.000) x Trend
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Swap Schedule Let’s assume YTM= 8% compounded quarterly WTI
Payment 99.2 Payment 99.2*(1+0.02) Payment 105.6 Payment 105.6*(1+0.02) Payment 112 Payment 112*(1+0.02) Payment 118.4 Payment 118.4*(1+0.02) Interest Rate Swap Dealer 1Q 1991 2Q 1991 3Q 1991 4Q 1991 1Q 1992 2Q 1992 3Q 1992 4Q 1992
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Retroactively applying the swap, keeping the seasonal factor out.
Interest Swap pay Interest Swap Receive Cash Flows from Swap Total CF after the Swap 22.4 -22.4 22.848 28.8 -28.8 29.376 -0.8 35.2 -35.2 35.904 31.232 41.6 -41.6 42.432 48 -48 63.812 48.96 54.4 -54.4 84.46 55.488 60.8 -60.8 62.016 92.4 67.2 -67.2 68.544 73.6 -73.6 75.072 80 -80 138.12 81.6 86.4 -86.4 88.128 92.8 -92.8 94.656 Retroactively applying the swap, keeping the seasonal factor out.
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Cash Flows after the Interest Rate Swap
in Comparison to the No Hedge Strategy Profits
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Rate of Change before Swap Rate of Change after Interest Rate Swap
Volatility Rate of Change before Swap Rate of Change after Interest Rate Swap SD Volatility before Swap Volatility after Swap Volatility after Interest Rate Swap and after actual profitability in period 4
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This is an accreting fixed-for-fixed interest rate swap due to the fact that our notional value grows as opposed to having a floating swap leg.
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Our exchange rate exposure is 85% of the revenue
Our exchange rate exposure is 85% of the revenue. This is due to the fact that 15% of WTI’s expenses is in domestic currency. Swap should cover 85% of predicted revenue. ECI/DCU=2 so ECI factor =0.
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Predicted Revenue assuming Currency Swap We pay in DCU
We receive in ECI and pay in Europe Swap’s Effect on Profits Currency and Interest Rate Swap Combined 1680 1428 2856 -2.688 1280 1088 2176 2160 1836 3672 1600 1360 2720 1.056 0.256 2640 2244 4488 1920 1632 3264 3120 2652 5304 2240 1904 3808 3600 3060 6120 18.144 81.956 2560 4352 97.792 4080 3468 6936 2880 2448 4896 4560 3876 7752 3200 5440 63.168 5040 4284 8568 3520 2992 5984 90.816 5520 4692 9384 87.216 202.48 3840 6528 6000 5100 10200 99.36 237.48 4160 3536 7072 6480 5508 11016 4480 7616 6960 5916 11832 4800 8160 316.04
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The both sides of the swap have the same exact value since the swap was originally designed to create an NPV of zero for the total cash flows.
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We have different alternatives to pay him/ her for the deal:
The original design of this fixed-for-fixed interest rate swap allows for the total NPV=0 -> no spread for the dealer. We have different alternatives to pay him/ her for the deal: Upfront fee A fixed percentage of the growing notional value Fee per transaction
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