Yield to Call vs Yield to Maturity: A Comprehensive Guide

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Scrabble tiles spelling 'Zinsen' on a marble surface with scattered tiles around, symbolizing interest rates.
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Yield to call and yield to maturity are two crucial concepts in fixed income investing that can be easily misunderstood. Yield to call is the return an investor can expect from a bond if it's sold before its maturity date.

The yield to call is typically higher than the yield to maturity because it's based on the assumption that the bond will be sold at the call price, which is usually higher than the face value. This is because bonds often have a call feature that allows the issuer to redeem the bond at a predetermined price.

In contrast, yield to maturity is the total return an investor can expect from a bond if it's held until maturity. It takes into account the bond's coupon rate, face value, and time to maturity.

What is Yield to Call vs Yield to Maturity?

Yield to Call is similar to Yield to Maturity, but it assumes investors hold the bond only until an earlier call date, not the maturity date, and also receive some type of penalty fee paid by the company in exchange for this early repayment.

Credit: youtube.com, Investopedia Video: Bond Yields - Current Yield and YTM

The Yield to Call and Yield to Maturity both measure the annualized return an investor can expect to receive on a bond, but they do it in different ways. The Yield to Call assumes a shorter holding period than the Yield to Maturity.

Unlike the Yield to Maturity, the Yield to Call accounts for the possibility of early repayment, which can happen if the company decides to call the bond back before its maturity date.

The Yield to Call is a more realistic measure of the potential return on a bond, especially for investors who plan to sell their bonds early due to changes in the market or the company's credit profile.

The Yield to Call is calculated similarly to the Yield to Maturity, but it takes into account the penalty fee paid by the company for early repayment.

Key Concepts

Yield to call is a crucial concept in bond investing, and understanding it requires grasping the basics of bond yields.

Credit: youtube.com, Relationship of Nominal Yield, Current Yield, Yield to Maturity and Yield to Call. Series 7 Exam

A bond's yield refers to the expected earnings generated and realized on a fixed-income investment over a particular period of time, expressed as a percentage or interest rate. This is a fundamental concept that underlies yield to call and yield to maturity.

There are numerous methods for arriving at a bond's yield, and each of these methods can shed light on a different aspect of its potential risk and return. This is especially important when considering callable bonds, where the yield to call and yield to maturity can vary significantly.

Here are the key differences between yield to call and yield to maturity:

This table illustrates the relationship between coupon rate and yield to maturity, which is essential for understanding yield to call.

Coupon Rate Parity

A bond's coupon rate is the interest rate it pays to investors, while its Yield to Maturity (YTM) is the total return an investor can expect to earn. If a bond's coupon rate is less than its YTM, then the bond is selling at a discount.

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The relationship between coupon rate and YTM is crucial in determining the bond's market value. If a bond's coupon rate is more than its YTM, then the bond is selling at a premium. This means the investor is essentially paying more for the bond than its face value.

The only time a bond's coupon rate is equal to its YTM is when it's selling at par. This is a key concept to understand when evaluating bond investments.

Periodicity

Periodicity is an important concept in bonds that can affect the effective yield. The more frequent the coupon payments, the higher the effective yield.

The frequency of coupon payments can have a significant impact on the effective yield. For example, an annual-pay bond has an effective yield of 10%, while a semi-annual coupon bond has an effective yield of 10.25%. This difference may not seem significant, but it can add up over time.

Credit: youtube.com, Periodicity Principle | Accounting Principles | Letstute Accountancy

As we can see from the examples, the effective yield increases with the periodicity. This means that bonds with more frequent coupon payments tend to have higher yields.

Here's a quick comparison of the effective yields for different coupon payment frequencies:

  • Annual-pay bond: 10%
  • Semi-annual coupon bond: 10.25%
  • Quarterly coupon bond: 10.38%

Measures for Fixed-Rate Bonds

A bond's yield is a crucial factor in determining its potential risk and return.

Yield-to-maturity (YTM) is a common yield measure for bonds, but there are other yield measures that provide more insight into the returns from investing in a bond.

There are numerous methods for arriving at a bond's yield, and each of these methods can shed light on a different aspect of its potential risk and return.

To determine the yield of a bond, you need to know which type of yield is being conveyed, such as YTM or coupon rate.

Here's a quick rundown of how to determine the yield of a bond:

If a bond's coupon rate is less than its YTM, then the bond is selling at a discount. If a bond's coupon rate is more than its YTM, then the bond is selling at a premium. If a bond's coupon rate is equal to its YTM, then the bond is selling at par.

Callable bonds generally offer a slightly higher yield to maturity, but the issuer may opt to pay it off early, resulting in a yield to call.

Calculating Yield to Maturity

Credit: youtube.com, How to Calculate Yield To Maturity of a Bond -What is YTM and How to Use the Approximation Formula

Calculating Yield to Maturity can be done in several ways, including using the YIELD function in Excel. This function accounts for all the assumptions mentioned above and provides the easiest method to calculate YTM.

The YIELD function takes into account the maturity date, coupon rate, bond price, and other factors to provide an accurate calculation of YTM. For example, if a bond has a maturity date of December 31, 2029, and a coupon rate of 5%, and is trading at a 10% discount, the YIELD function would calculate the YTM as approximately 2.5% higher than the coupon rate.

You can also use the IRR function in Excel to calculate YTM, but this approach takes far more time and effort. Alternatively, you can use a quick approximation formula: Approximate YTM = ($50 + $100 / 5) / $950 = $70 / $950 = ~7.4%. However, keep in mind that this method does not account for compounding and is more accurate when the discount is much lower.

Here's a comparison of the different methods:

YTM Formula

Credit: youtube.com, Calculate Yield to Maturity of a Coupon Bond in 2 Minutes

Calculating Yield to Maturity can be a complex task, but there are several methods to make it easier. The easiest method is to use the YIELD function in Excel, which accounts for all the assumptions mentioned above.

The YIELD function in Excel is a straightforward way to calculate YTM, and it's widely used by financial professionals. You can see it directly in the Excel download available on this page.

The intuition behind the YIELD function is that it takes into account the initial purchase, interest payments, and repayment upon maturity. This makes it a more accurate method than some of the other options.

One of the benefits of using the YIELD function is that it's fast and efficient, saving you time and effort. You can apply this function to a bond's cash flows to confirm that it's nearly the same as the output from the YIELD function.

Another option to calculate YTM is to use the IRR function in Excel, which represents the annualized return on a bond. However, this approach takes far more time and effort because you must project the cash flows of the bond.

Credit: youtube.com, How to Calculate a Bond's Yield to Maturity (Using Excel)

If you're looking for a quick approximation, you can use the formula: Approximate YTM = ($50 + $100 / 5) / $950 = $70 / $950 = ~7.4%. This method is more accurate when the discount is much lower.

However, this approximation method does not account for compounding, which means it's not as accurate as the Excel YIELD and IRR functions.

Zero-Coupon Bond Formula

A zero-coupon bond is a type of bond that doesn't make regular interest payments, instead, the investor receives the face value at maturity. This unique feature makes it a popular choice for investors looking to save for a specific goal.

The zero-coupon bond formula is used to calculate the yield to maturity, which is the rate of return an investor can expect to earn from a bond. The formula is: YTM = (Face Value - Purchase Price) / Number of Years.

In simple terms, the yield to maturity is the difference between the face value and the purchase price, divided by the number of years until maturity. This calculation gives you the effective rate of return on your investment.

For example, let's say you buy a zero-coupon bond with a face value of $1,000 and a purchase price of $500, and it matures in 5 years. Using the formula, the yield to maturity would be: YTM = ($1,000 - $500) / 5 = 40%.

Comparing Yield to Call and Yield to Maturity

Credit: youtube.com, Yield to call and Yield to worst (for the @CFA Level 1 exam)

Yield to Call and Yield to Maturity are two yield metrics that measure the returns an investor can expect to receive on a bond, but they do it in different ways.

Yield to Call is similar to Yield to Maturity, but investors hold the bond only until an earlier call date, not the maturity date, and also receive some type of penalty fee paid by the company in exchange for this early repayment.

The price paid by the investor for a callable bond will be higher than the face value of the bond, and the exact price will be based on prevailing rates at the time.

A callable bond can be issued with one or more call dates attached, and the yield to call can be estimated based on the bond's coupon rate, the time until the first or second call date, and the market price.

Here's a comparison of Yield to Call and Yield to Maturity:

Investors in callable bonds also want to estimate the yield to call, or the total return that will be received if the bond purchased is held only until its call date instead of full maturity.

Frequently Asked Questions

Is there a difference between yield and yield to maturity?

Yes, there is a difference between yield and yield to maturity: yield is the annual income of a bond, while yield to maturity is the total return if held until maturity. Understanding the difference can help you make informed investment decisions and maximize your returns.

Danielle Hamill

Senior Writer

Danielle Hamill is a seasoned writer with a keen eye for detail and a passion for storytelling. With a background in finance, she brings a unique perspective to her writing, tackling complex topics with clarity and precision. Her work has been featured in various publications, covering a range of topics including cryptocurrency regulatory alerts.

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