Fixed Income Mathematics

The previous chapters looked at the equations for compound interest and its related topics: present value, annuity certain, bond price, and the future value of an annuity. This chapter looks at discount yield and how to compute prices using discount yield. It shows the equation for price, given discount yield and some examples of securities traded using discount yield, especially United States Treasury bills. It develops the equation for bond equivalent yield, and shows why bond equivalent yield is important and where it is used.
United States Treasury bills (T-bills) are arguably the most important short-term securities issued anywhere in the world, and possibly the most important securities of any sort issued anywhere. You should know about T-bills, how they are quoted, issued, and traded. You should understand how to compare T-bill discount yields with the bond yield that we studied in the first chapters of this book. We use T-bills as the example for discount yield calculations.
When you finish this chapter, you should understand the definition of discount yield, how to compute price from discount yield, the relation between discount yield and bond equivalent yield, when and why you should use bond equivalent yield, and the most important securities (T-bills) traded on a discount yield basis.
Discount yield is used in many cases instead of bond yield to compute security prices. Almost always, discount yield is used to compute prices of relatively short-term securities, usually securities maturing in 1 year or less. Years ago, lenders...