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Expanding this expression, we obtain   (2t/365 - 1)BEY2+ (4t/365)BEY + 4(1 - 100/P) = 0   The expression above is


a quadratic equation which is an equation which can be written in the form:     whichcanbesolvedasfollows:   ax2+ bx + c = 0   2 x - b (b   - 4ac )   1 2 = ------------------------------------------------- 2a       -2´t ætö2 æ2´t ö æ 100ö 12 -------------- + 2 è---ø - è----------- - 1ø´è1- ---------ø T T T P BEY = ------------------------------------------------------------------------------------------------------------------- 2 t ----------- - 1 T     As an example, lets use a Fannie Mae 52-week Benchmark bill that yields 5.87% on a bank discount basis and suppose there are 350 days remaining until maturity. The price of this bill would be 94.0647 (per $100 of face value). Suppose further that the year in question such that T = 366. Substituting this information in the expression above gives the bond-equivalent yield for this 52-week bill:   -2´350 æ350ö2 æ2´350 ö æ 100 ö12 ---------------------- + 2 è---------ø - è------------------- - 1ø´è1- ---------------------ø 366 366 366 94.2931 BEY = ----------------------------------------------------------------------------------------------------------------------------------------------------