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Yield Basis: Understanding, Calculation, and Examples

Last updated 03/08/2024 by

Silas Bamigbola

Edited by

Fact checked by

Summary:
The yield basis is a method of quoting the price of a fixed-income security as a yield percentage, rather than as a dollar value. It helps bond buyers easily compare the characteristics of various bonds before making a purchase.

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Understanding yield basis

Yield basis is a critical concept in fixed-income investing, particularly in the bond market. Unlike stocks, which are quoted in dollars, bonds are quoted with a yield basis. Essentially, the yield basis method presents the price of a fixed-income security as a percentage of its face value or par value.

Calculation method

The calculation method for yield basis is relatively straightforward and involves simple arithmetic. To calculate the yield basis of a bond, investors need to know two key pieces of information: the annual coupon payment and the bond purchase price.
Firstly, the annual coupon payment represents the fixed interest payment that the bond issuer promises to pay to bondholders each year. This coupon payment is typically expressed as a percentage of the bond’s face value.
Secondly, the bond purchase price is the amount that an investor pays to acquire the bond in the secondary market. It may be higher or lower than the bond’s face value, depending on market conditions and prevailing interest rates.
To calculate the yield basis, investors simply divide the annual coupon payment by the bond purchase price. This yields a percentage figure that represents the bond’s yield basis. The higher the yield basis, the higher the yield relative to the purchase price of the bond.
It’s important to note that while yield basis provides valuable insight into the potential returns of a bond, it does not account for factors such as taxes, fees, or changes in interest rates that may impact the actual returns realized by investors.

Comparing bonds

Comparing bonds is a fundamental aspect of fixed-income investing, and yield basis plays a pivotal role in this process. When investors compare bonds, they evaluate various factors such as coupon rates, time to maturity, credit ratings, and prevailing market conditions.
Yield basis allows investors to assess the relative value of bonds by expressing their prices as a percentage of face value. This standardized metric enables investors to make apples-to-apples comparisons between bonds with different characteristics.
Investors can use yield basis to identify bonds that are trading at a premium or discount relative to their intrinsic value. Bonds with higher yield basis may offer better returns relative to their purchase price, while those with lower yield basis may indicate higher demand in the market.
Furthermore, comparing bonds based on their yield basis helps investors diversify their fixed-income portfolio effectively. By selecting bonds with varying yield characteristics, investors can manage risk and optimize their overall investment strategy.

Bank discount yield

Bank discount yield is a critical concept in the realm of fixed-income investments, particularly for instruments like Treasury bills that are issued at a discount to their face value.
The bank discount yield represents the annualized rate of return on a pure discount instrument, calculated based on the discount from the face value of the security.
Unlike bonds, which pay periodic interest payments (coupons), Treasury bills and other pure discount instruments are typically sold at a discount to their face value and do not make periodic interest payments. Instead, investors purchase these instruments at a discount and receive the face value upon maturity.
The calculation of bank discount yield takes into account the discount from the face value of the security and the time remaining until maturity. The formula for bank discount yield is:
Bank Discount Yield = (Discount / Face Value) × (360 / t)
Where:
  • Discount is the difference between the face value of the security and its purchase price.
  • Face Value is the nominal value of the security.
  • t is the time to maturity, typically expressed in days.
The bank discount yield is expressed as an annualized percentage, allowing investors to compare the yields of different Treasury bills and similar instruments.
It’s important to note that bank discount yield assumes simple interest and does not account for compounding effects. As such, it provides a standardized measure of return for pure discount instruments.

Calculation example

For example, if a Treasury bill with a face value of $1,000 is selling for $970 and has 180 days until maturity, the bank discount yield would be calculated based on the discount from the face value and the time left to maturity.

Net yield basis

Net yield basis includes the broker’s profit or markup for executing the trade. When purchasing bonds, investors should understand whether the quoted yield includes the broker’s profit or if there are additional fees.

Comparison with net yield basis

Net yield basis may include broker’s commission or markup, which affects the actual yield investors receive. It’s important for investors to clarify the terms of the transaction and understand the overall cost involved.

Examples

Let’s consider a hypothetical scenario where two bonds are being compared based on their yield basis:
  • Bond A: $1,000 face value, 6% coupon rate, trading at $950
  • Bond B: $1,000 face value, 5% coupon rate, trading at $970
Calculating the yield basis for Bond A:
Coupon payment = 6% of $1,000 = $60
Yield basis = $60 / $950 = 6.32%
Calculating the yield basis for Bond B:
Coupon payment = 5% of $1,000 = $50
Yield basis = $50 / $970 = 5.15%

Conclusion

In conclusion, understanding yield basis is crucial for investors in the fixed-income market. It provides a standardized method for quoting bond prices, allowing investors to compare bonds with different characteristics easily. By calculating yield basis, investors can assess whether a bond is trading at a premium or discount and make informed investment decisions. Additionally, being aware of net yield basis and its implications helps investors understand the total cost involved in bond transactions. With the examples and insights provided, investors can navigate the bond market more effectively, maximizing their investment potential.

Frequently asked questions

What is the significance of yield basis in bond investing?

Yield basis allows investors to evaluate bond prices based on their yield percentage, facilitating comparison among bonds with varying characteristics.

How does the calculation method differ for yield basis and bank discount yield?

The calculation method for yield basis involves dividing the annual coupon payment by the bond purchase price, while bank discount yield considers the discount from the face value of the bond over its time to maturity.

Why is it important to understand the comparison with net yield basis?

Understanding the comparison with net yield basis helps investors grasp the additional costs, such as broker commissions or markups, involved in bond transactions.

Can yield basis be used to assess the current market value of a bond?

Yes, yield basis provides insight into whether a bond is trading at a premium or discount compared to similar bonds, helping investors gauge its current market value.

Is yield basis applicable only to bonds, or can it be used for other fixed-income securities?

While yield basis is commonly used for bonds, it can also be applied to other fixed-income securities, providing a standardized method for price comparison.

How does net yield basis impact the overall cost of bond transactions?

Net yield basis includes the broker’s profit or markup, which directly affects the total cost of bond transactions for investors.

What factors should investors consider when comparing bonds based on their yield basis?

Investors should consider factors such as coupon rates, time to maturity, and prevailing market conditions when comparing bonds based on their yield basis.

Key takeaways

  • The yield basis quotes the price of fixed-income securities as a yield percentage.
  • It helps investors compare bonds with different characteristics.
  • Bank discount yield is used for pure discount instruments like Treasury bills.
  • Investors should understand the net yield basis, including broker’s profit or markup.

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