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Bond valuation is the process by which an investor arrives at an estimate of the theoretical fair value, or intrinsic worth, of a bond.As with any security or capital investment, the theoretical fair value of a bond is the present value of the stream of cash flows it is expected to generate.
To derive this rate we observe that the theoretical price of a bond can be calculated as the present value of the cash flows to be received in the future. In the case of swap rates, we want the par bond rate (Swaps are priced at par when created) and therefore we require that the present value of the future cash flows and principal be equal to ...
The Z-spread of a bond is the number of basis points (bp, or 0.01%) that one needs to add to the Treasury yield curve (or technically to Treasury forward rates) so that the Net present value of the bond cash flows (using the adjusted yield curve) equals the market price of the bond (including accrued interest). The spread is calculated iteratively.
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The bonds are purchased from the market at $985.50. Given that $2.00 pays the accrued interest, the remainder ($983.50) represents the underlying value of the bonds. The following table illustrates the values of these terms. The market convention for corporate bond prices assigns a quoted (clean price) of $983.50.
There is a time dimension to the analysis of bond values. A 10-year bond at purchase becomes a 9-year bond a year later, and the year after it becomes an 8-year bond, etc. Each year the bond moves incrementally closer to maturity, resulting in lower volatility and shorter duration and demanding a lower interest rate when the yield curve is rising.
The OAS is defined as the value of X that equates the market price of the MBS to its expected value in this theoretical framework. Treasury bonds (or alternate benchmarks, such as the noncallable bonds of some other borrower, or interest rate swaps ) are generally not available with maturities exactly matching MBS cash flow payments, so ...
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