The yield basis plays a crucial role in determining the pricing of money market instruments. Money market instruments are short-term debt securities with maturities typically ranging from overnight to one year. These instruments include Treasury bills, commercial paper, certificates of deposit, and repurchase agreements, among others. The yield basis provides a framework for comparing and evaluating the returns on these instruments, which in turn influences their pricing.
The yield basis refers to the method used to express the yield or return on a money market instrument. There are two commonly used yield bases in money markets: discount yield and investment yield.
The discount yield is the most prevalent yield basis for money market instruments. It is expressed as a percentage discount from the face value of the instrument. For example, if a Treasury bill with a face value of $10,000 is purchased at a price of $9,950 and matures in 90 days, the discount yield would be calculated as follows:
Discount Yield = (Face Value - Purchase Price) / Face Value * (360 / Days to Maturity)
= ($10,000 - $9,950) / $10,000 * (360 / 90)
= $50 / $10,000 * 4
= 0.02 or 2%
The discount yield represents the
annualized rate of return earned by an
investor when purchasing the instrument at a discount and holding it until maturity. It allows investors to compare the returns on different money market instruments with varying maturities and prices.
The investment yield, also known as the
bond equivalent yield or the annual percentage yield (APY), is another commonly used yield basis. Unlike the discount yield, the investment yield takes into account both the purchase price and the interest payments received over the
holding period. It is expressed as an annualized percentage rate.
To calculate the investment yield, one needs to consider the purchase price, interest payments, and the number of days to maturity. For example, if an investor purchases a 90-day Treasury bill with a face value of $10,000 for $9,950 and receives $50 in interest at maturity, the investment yield would be calculated as follows:
Investment Yield = (Interest + (Face Value - Purchase Price)) / Purchase Price * (360 / Days to Maturity)
= ($50 + ($10,000 - $9,950)) / $9,950 * (360 / 90)
= $100 / $9,950 * 4
= 0.0402 or 4.02%
The investment yield provides a more comprehensive measure of the return on a money market instrument, as it considers both the
capital gain or loss from the purchase price and the interest earned.
The choice of yield basis affects the pricing of money market instruments because it influences investors' perception of the instrument's attractiveness. The discount yield is commonly used for instruments such as Treasury bills, where the interest is effectively built into the purchase price. A lower discount yield indicates a higher price and a lower return, making the instrument less attractive to investors.
On the other hand, the investment yield is often used for instruments that pay periodic interest, such as commercial paper or certificates of deposit. The investment yield allows investors to compare these instruments with different maturities and interest rates on an annualized basis. A higher investment yield indicates a higher return, making the instrument more appealing to investors.
In summary, the yield basis, whether it is expressed as a discount yield or an investment yield, significantly impacts the pricing of money market instruments. It provides a standardized method for comparing and evaluating the returns on these instruments, enabling investors to make informed decisions based on their
risk appetite and return expectations.