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A Credit valuation adjustment (CVA), [a] in financial mathematics, is an "adjustment" to a derivative's price, as charged by a bank to a counterparty to compensate it for taking on the credit risk of that counterparty during the life of the transaction. "CVA" can refer more generally to several related concepts, as delineated aside.
Credit spreads are negative vega since, if the price of the underlying doesn't change, the trader will tend to make money as volatility goes down. Credit spreads are also positive theta in that, broadly speaking if the price of the underlying doesn't move past the short strike , the trader will tend to make money just by the passage of time.
The iron butterfly is a special case of an iron condor (see above) where the strike price for the bull put credit spread and the bear call credit spread are the same. Ideally, the margin for the iron butterfly is the maximum of the bull put and bear call spreads, but some brokers require a cumulative margin for the bull put and the bear call.
The lower the credit rating, the higher the spread, thus reflecting the extra yield premium demanded for greater risk. Using this model we can describe returns of, say, an A-rated security in terms of movements in the AAA curve, plus movements (tightening or widening) in the credit spread.
Yield spread can also be an indicator of profitability for a lender providing a loan to an individual borrower. For consumer loans, particularly home mortgages, an important yield spread is the difference between the interest rate actually paid by the borrower on a particular loan and the (lower) interest rate that the borrower's credit would allow that borrower to pay.
Given: 0.5-year spot rate, Z1 = 4%, and 1-year spot rate, Z2 = 4.3% (we can get these rates from T-Bills which are zero-coupon); and the par rate on a 1.5-year semi-annual coupon bond, R3 = 4.5%. We then use these rates to calculate the 1.5 year spot rate. We solve the 1.5 year spot rate, Z3, by the formula below:
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.
For an MBS, the word "option" in option-adjusted spread relates primarily to the right of property owners, whose mortgages back the security, to prepay the mortgage amount. Since mortgage borrowers will tend to exercise this right when it is favourable for them and unfavourable for the bond-holder, buying an MBS implicitly involves selling an ...