# What is a Constant Maturity Swap ..

Finally, we show how the SABR model’s ability to inter- and extrapolate avolatility smile can be utilized in a pricing scenario to price a constant maturityswap.

## Pricing Constant Maturity Swap Derivatives ..

### of Swaps and Options on Constant Maturity CDS ..

Thus one dollar grows to $1.0638*1.0682 in two years and$1.0638*1.0682*1.0732 in three years. Of necessity, thesecalculations reach the same conclusion as do those based on therespective spot interest rates. However, the latter use differentrates for the same year (e.g. year 2), depending on theinvestment being analyzed, while the former do not. Thus forwardrates are closer to economic reality and can be used with farless risk of error.

### Other forms of swaps are constant-maturity ..

In any case, I am a Mum who shares custody of my daughter in a 50/50 set-up. Her dad and I were married, then separated but living in the same house, then separated and in different homes. It was two years ago last week that we set up two homes for her; she was 22 months old.

## Equal physical custody? You try it. — The Grown Up Child

For example, $1 invested at a rate of 6.60% per year,compounded yearly, would grow to $1/0.88 dollars at the end oftwo years. This interest rate could be termed the *2-year spotrate* to emphasize the fact that it assumes an investmentthat begins immediately and lasts for two years.

## Somehow I just don’t see maturity playing a part in any of the above

Given the previous discount function, such a bond has apresent value of $97.84. Based on its initial *par value*of $100, the yield is 6% per year. However, given the fact thatit is selling for $97.84, the effective yield is greater. Toreflect this, analysts often use a derived figure, the *yield-to-maturity*.This is a constant interest rate that makes the present value ofall the bond's payments equal its price. In this case, we seek avalue for i that will satisfy the equation:

## But I have a stilted view on the subject

A common set of assumptions holds that liquidity premiaincrease at a decreasing rate as maturity increases and thatexpected short-term real returns are constant. This implies thatthe term structure of forward rates will have the same shape asthe liquidity premium function in periods in which inflation isexpected to remain constant. If the forward curve is steeper,inflation is presumably expected to increase. If it is flatter ordownward-sloping, inflation can be expected to decrease.