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 = ----------------------------------------------------------------------------------------------------------------------------------------------------