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### Interest rate swap discount factor

Related articles: fincad interest rate swap functions can be used for the following: Generic interest rate swaps, allows custom structure (variable notional, variable fixed leg coupon) Cross-currency and basis swaps libor swaps Non-generic interest rate swaps Fixed legs Floating Rate Notes To evaluate the fincad.

In recent years, the libor-OIS spread has persistently widened, particularly after August 2007.

This rate is calculated and released daily by shirin ebadi nobel prize speech the Federal Reserve in its.15 report.Example: Vanilla Fixed for Floating Interest Rate Swap From a counterparty's perspective, a swap can be viewed as two series of cash flows: outflows are known as the "pay leg" and inflows are known as the "receive leg".Step 3 Calculate implied libor forward rates In order to find the value of the implicit FRN note for Step 4a below it is essential that a new libor forward curve is generated.This is typically called the "par swap curve.".Step 1 Obtain the term structure The complete term structure that will be used is as follows: Period Number of days in the period OIS fixed rates 1.10 2.60 3.20 4.70 5.00 6.30.This higher price is a reflection of the reduced credit risk on the collateralized interest rate swap as compared to the uncollateralized counterpart.Determine the future cash flows.The general formula for bootstrapping libor discount factors from at-market swap fixed rates (SFRs) is: where DFnlibor Discount factor for period n, discounting from end of period n to inception date.The same three step methodology and formulas in excel described above for libor discounting is used to determine the price of each bond.Sum the discounted cash flows, step 1 Obtain the term structure.An example of a non-standard interest rate swap is of a swap whose notional principal varies over its tenor.USD 3,662,843.98 To reiterate, the main assumption made in the above calculations is that the libor is an effective proxy for the near risk free yield curve needed for pricing a collateralized swap.To price a swap, we need to determine the present value of cash flows of each leg of the transaction.Floating Leg of a swap and where, pfit present values of cash flows for floating leg, N notional principal amount, Fi-1, i (implied) forward rate from date i - 1 to date i, i- 1,i accrual factor from date i - 1 to date.

And then sum these values across all the periods: Next we multiply this sum with the notional times the difference between the fixed rate at-market rate to determine the value of the IRS: 100,000,000 x (0.0526-0.034).The pricing of the IRS using OIS discounting follows almost the same four step process mentioned above with two main differences: Instead of libor deposits and swap fixed rates being used OIS rates are used.Step 3 Calculate implied libor forward rates Another important term is that of the implied forward rate (IFR which is also known as the projected forward rate for a 3-month libor between n-1 and n periods.In the illustration, for period 2, Aj (9292 360 184/360 days.Liborn libor deposit rate for period n Aj is the fraction of the year for the jth period.To be concrete, let's consider a 2-year USD par swap.

Consider the US Treasury market, using the outstanding Treasury notes and bonds (nearly 300 of them.

These bumped curves are then used to obtain the bumped up and bumped down fair value P and P-, respectively.

For the individual fixed and floating legs of the swap, the modified duration, convexity and basis point value are calculated numerically by bumping the accruing and discounting curves.