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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.
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 ...
Using the same example of five $1,000 annual payments, the present value calculation would determine the single upfront investment required to generate this future income stream, assuming a ...
Present value calculations, and similarly future value calculations, are used to value loans, mortgages, annuities, sinking funds, perpetuities, bonds, and more. These calculations are used to make comparisons between cash flows that don’t occur at simultaneous times, [ 1 ] since time and dates must be consistent in order to make comparisons ...
For example, bonds can be readily priced using these equations. A typical coupon bond is composed of two types of payments: a stream of coupon payments similar to an annuity, and a lump-sum return of capital at the end of the bond's maturity—that is, a future payment. The two formulas can be combined to determine the present value of the bond.
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.
The Present Value of the Terminal Value is then added to the PV of the free cash flows in the projection period to arrive at an implied Enterprise Value. Note that if publicly traded comparable company multiples must be used, the resulting implied enterprise value will not reflect a control premium .