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A basis swap is an interest rate swap which involves the exchange of two floating rate financial instruments. A basis swap functions as a floating-floating interest rate swap under which the floating rate payments are referenced to different bases.
Excel offers many user interface tweaks over the earliest electronic spreadsheets; however, the essence remains the same as in the original spreadsheet software, VisiCalc: the program displays cells organized in rows and columns, and each cell may contain data or a formula, with relative or absolute references to other cells. Excel 2.0 for ...
Excel graph of the difference between two evaluations of the smallest root of a quadratic: direct evaluation using the quadratic formula (accurate at smaller b) and an approximation for widely spaced roots (accurate for larger b). The difference reaches a minimum at the large dots, and round-off causes squiggles in the curves beyond this minimum.
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 example, if the current market rate for a five-year swap is 1.35 percent and the current yield on the five-year Treasury note is 1.33 percent, the five-year swap spread would be 0.02 percentage points, or 2 basis points. [2] [3] Often, fixed income prices will be quoted in "SWAPS +", wherein the swap rate is added to a given number of basis ...
In mathematics, a basis function is an element of a particular basis for a function space. Every function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors .
The term "basis point" has its origins in trading the "basis" or the spread between two interest rates. Since the basis is usually small, these are quoted multiplied up by 10,000, and hence a "full point" movement in the "basis" is a basis point. Contrast with pips in FX forward markets. Expense ratios of investment funds are often quoted in ...
The definition here is based on Lakhbir Hayre's Mortgage-Backed Securities textbook. Other definitions are rough analogs: Other definitions are rough analogs: Take the expected value (mean NPV ) across the range of all possible rate scenarios when discounting each scenario's actual cash flows with the Treasury yield curve plus a spread, X .