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![Lesson objectives Introduce the concept of interest rate swaps and](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-1.jpg)
Lesson objectives
Introduce the concept of interest rate swaps and its importance
for financial market.
Review the mechanics of swap contracts.
Evaluate cash flows associated with swap contracts.
Study term structure and empirical behavior of swaps
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![Introduction](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-2.jpg)
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![Swaps term structure and behavior over business cycle 3](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-3.jpg)
Swaps term structure and behavior over business cycle 3
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![Uses of interest rate swaps Portfolio management: add or subtract](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-4.jpg)
Uses of interest rate swaps
Portfolio management:
add or subtract duration, adjust interest
rate exposure
offset the risks posed by interest rate volatility.
Speculation:
Swaps allow to speculate on movements in interest rates while potentially avoiding the cost of long and short positions in Treasuries or other assets.
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![Uses of interest rate swaps 2 Corporate finance (hedging) Hedge](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-5.jpg)
Uses of interest rate swaps 2
Corporate finance (hedging)
Hedge against falling interest
rates by paying floating and receiving fixed.
Risk management
Offset the residual interest risk in the portfolio.
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![Essence of swap contracts Exchange two cash flows generated by](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-6.jpg)
Essence of swap contracts
Exchange two cash flows generated by different interest
rates.
For instance fixed swap rate are paid (received) against those based on floating LIBOR rate.
Swap contract is arranged as a pure exchange of cash flows. Thus no additional cash payment should be required at initiation.
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![Swap cash flows: example Interest rate swap with the following](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-7.jpg)
Swap cash flows: example
Interest rate swap with the following parameters
1000000 USD notional amount (N)
7% fixed rate p.a.
2 years maturity, payments in semiannual frequency
Floating cash flow generated by 6month LIBOR(Lt)
A fixed payer (also called buyer of the swap) will pay fixed payments and receive floating payments.
A fixed receiver(also called seller of the swap) will do the opposite
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![Swap cash flows: example 2](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-8.jpg)
Swap cash flows: example 2
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![Dependence on benchmark rate Exchange of defined cash flows is](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-9.jpg)
Dependence on benchmark rate
Exchange of defined cash flows is made acceptable
to both parties by adding corresponding spread to one of cash flows.
The market includes swap spread in the fixed rate.
The benchmark rate for interest rate swap is often selected as sovereign bond yield of the same maturity.
By adjusting the spread with the benchmark rate market can bring two parties together to perform exchange of cash flows.
Agreed fixed rate=Swap rate= Benchmark rate+ + Swap spread
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![Interest rate swap decomposition](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-10.jpg)
Interest rate swap decomposition
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![Interest rate swap decomposition 2](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-11.jpg)
Interest rate swap decomposition 2
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![Interest rate swap decomposition 2 Long swap Long floating rate note paying LIBOR](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-12.jpg)
Interest rate swap decomposition 2
Long swap
Long floating rate note paying
LIBOR
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![Evaluating present value of swap cash flows 1](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-13.jpg)
Evaluating present value of swap cash flows 1
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![Evaluating present value of swap cash flows 2](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-14.jpg)
Evaluating present value of swap cash flows 2
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![Connection between swap rates and FRA rates](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-15.jpg)
Connection between swap rates and FRA rates
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![Connection between swap rates bond rates and FRA rates](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/21926/slide-16.jpg)
Connection between swap rates bond rates and FRA rates