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The excess spread is the difference between the interest rate received on the underlying collateral and the coupon on the issued security. It is typically one of the first defenses against loss. Even if some of the underlying loan payments are late or default, the coupon payment can still be made.
For example, a $300,000 30 year mortgage with an interest rate of 6.5% could be split into 300 1000-dollar bonds. These bonds would have a 30-year amortization, and an interest rate of 6.00% for example (with the remaining 0.50% going to the servicing company to send out the monthly bills and perform servicing work).
Option-adjusted spread (OAS) is the yield spread which has to be added to a benchmark yield curve to discount a security's payments to match its market price, using a dynamic pricing model that accounts for embedded options. OAS is hence model-dependent.
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where is the maturity of the longest transaction in the portfolio, is the future value of one unit of the base currency invested today at the prevailing interest rate for maturity , is the loss given default, is the time of default, () is the exposure at time , and (,) is the risk neutral probability of counterparty default between times and .
How to calculate a factor rate. Using the factor rate provided by the lender, you can quickly calculate the cost of the borrowed funds. For example, if you borrowed $100,000 with a factor rate of ...
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.
One of the most popular techniques to accomplish this is the use of key-rate durations (KRDs), introduced by Thomas Ho (1992). Ho defines a number of maturities on the yield curve as being the key rate durations, with typical values of 3 months, 1, 2, 3, 5, 7, 10, 15, 20, 25 and 30 years.
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