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Yield of a discount security on a bank discount basis formula

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 Description of the Yield of a discount security on a bank discount basis formula

Formula for the calculation of the yield of a discount security, like T-Bills or commercial papers, on a bank discount basis.

  Formula

\[ r=\frac{C_{v}}{C_{m}}\cdot \frac{nbj_{base}}{nbj_{vd \to md }} \ \]

 Symbols

\(C_{m}\ \)       
Redeemed capital (generally par)
\(C_{v}\ \)       
Price of the security at value date
\(nbj_{base}\ \)       
Number of days per year (360, 365 or 366 depending on day-count convention)
\(nbj_{vm}\ \)       
Number of days between value date and maturity date