# Tag Info

## New answers tagged swaps

1

(In addition to the answers of Freddy and Phil H): With "modern" multi-curve setups: You have to distinguish between discount curves (which describe todays value of the a future fixed payoff (e.g. a zero coupon bond)) and forward curve, which describe the expectation (in a specific sense) of future interest rate fixings. Swaps pay LIBOR rates and are ...

0

You should take a look at the example from Hull's book. Assume that the 6-month, 12-month, 18-month zero rates are 4%, 4.5%, and 4.8%, respectively. Suppose we know that the 2-year swap rate is 5%, which implies that a bond with a semiannual coupon of 5% per annum sells for par: 2.5 e^{-0.04 \bullet 0.5} + 2.5 e^{-0.045 \bullet 1.0} + 2.5 e^{-0.048 ...

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Most likely the question is about CMS rate convexity adjustment. i.e. today value of a swap rate that fixes at some future time T. Mathematically, the adjustment arises from different measures (annuity versus forward measure). This is a good reference http://www.math.nyu.edu/~alberts/spring07/Lecture4.pdf As a rule of thumb, the size of the adjustment ...

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Given an index $t \mapsto S(t)$ (this may be a forward swap rate) and some value process $t \mapsto A(t)$ (this may be a swap annuity) we assume that $S/A$ is a traded product (which is true if $S$ is the forward swap rate and A is the corresponding (!) swap annuity. Then the future payoff $S(T) \cdot A(T)$ can be values as $S(t) \cdot A(t)$ (since $S$ is a ...

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For a vanilla forward-start swap, I would agree with imachabeli; convexity is an adjustment for the non-linearity of the quoted fixed rate dependence on the floating note. If expected Libors rise 1bp, the fixed leg can be increased 1bp to compensate. Convexity adjustments are made as standard to interest rate futures (i.e. 3m); with the next futures date ...

2

First of all it is not clear what exactly you mean by right number, you definitely do not adjust forward swap rate. You probably mean adjusting euro dollar futures contract rates so that you can later use these values to fit the swap/forward libor curve. Reason for adjustment is simple. If you are short ED futures and rates go higher futures price drops ...

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Yes, an adjustment has to be made and the reason is that a forward curve now will evolve and not be the same as the future spot curve. For example, a one year forward today is not equal to your spot rate a year hence. So spot curve discount factors have to be adjusted or directly replaced through the forward DFs. Convexity adjustments are already supposed ...

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