Investors can calculate the yield or return on investment for treasury bills by considering two primary measures: the discount yield and the investment yield. These measures provide insights into the profitability of investing in treasury bills and help investors make informed decisions.
The discount yield, also known as the bank discount yield, is a simple method to calculate the return on investment for treasury bills. It is expressed as an annualized percentage and represents the difference between the purchase price of the bill and its face value. To calculate the discount yield, the investor needs to know the purchase price, face value, and the number of days to maturity.
The formula for calculating the discount yield is as follows:
Discount Yield = (Discount / Face Value) * (360 / Days to Maturity)
Where:
- Discount refers to the difference between the face value and the purchase price of the treasury bill.
- Face Value represents the value of the treasury bill at maturity.
- Days to Maturity indicates the number of days remaining until the treasury bill matures.
For example, let's assume an investor purchases a treasury bill with a face value of $10,000 for $9,800, and it has 90 days until maturity. The discount would be $200 ($10,000 - $9,800). Using the formula, the discount yield would be:
Discount Yield = ($200 / $10,000) * (360 / 90) = 0.08 or 8%
This means that the investor would earn an 8% return on investment if they held the treasury bill until maturity.
Another measure to consider is the investment yield, also known as the
bond equivalent yield or the annualized yield. Unlike the discount yield, which is based on a 360-day year, the investment yield is calculated using a 365-day year. This allows for better comparison with other types of investments that use a 365-day year.
The formula for calculating the investment yield is as follows:
Investment Yield = (Discount / Purchase Price) * (365 / Days to Maturity)
Using the same example as before, with a purchase price of $9,800, the investment yield would be:
Investment Yield = ($200 / $9,800) * (365 / 90) = 0.082 or 8.2%
This means that the investor would earn an 8.2% return on investment if they held the treasury bill until maturity.
Both the discount yield and the investment yield provide valuable information to investors. The discount yield is useful for comparing treasury bills with different maturities or face values, as it standardizes the return on a 360-day basis. On the other hand, the investment yield is more suitable for comparing treasury bills with other types of investments that use a 365-day year.
It's important to note that these yield calculations assume holding the treasury bill until maturity and do not account for any reinvestment of interest payments. Additionally, these calculations do not consider factors such as transaction costs or taxes, which may impact the actual return on investment.
In conclusion, investors can calculate the yield or return on investment for treasury bills using either the discount yield or the investment yield. These measures provide valuable insights into the profitability of investing in treasury bills and assist investors in making informed decisions based on their financial goals and risk tolerance.