How yield-to-maturity is calculated – with examples - Upstox (2024)

Yield to Maturity (YTM) is a crucial metric for evaluating fixed-income investments, particularly debt funds. It represents the total return an investor can expect if they hold the investment until its maturity, assuming all interest payments are made as scheduled. In the context of debt funds, YTM is the weighted average yield of all the bonds in the fund's portfolio. Understanding YTM can help investors make informed investment decisions. This article will delve into the concept of YTM, its calculation, and practical examples to understand this financial concept.

Understanding Yield to Maturity

YTM is the annualized rate of return an investor can expect if they hold a bond or a debt fund until its maturity. It factors in the bond's face value, purchase price, time to maturity, and coupon rate. YTM enables investors to compare bonds or debt funds with different characteristics and make informed investment decisions. However, it's essential to note that YTM assumes that all interest payments are reinvested at the same rate as the current YTM, which may not be the case in reality.

Yield to Maturity for Bonds

The YTM formula for a single bond is as follows:

YTM = [Annual Interest + (Face Value - Market Price) / Time to Maturity] / [(Face Value + Market Price) / 2]

In this formula:

  • Annual Interest = The annual interest payment made by the bond issuer
  • Face Value = The bond's face value or par value
  • Market Price = The current market price of the bond
  • Time to Maturity = The number of years remaining until the bond matures

Practical Example: Calculating Yield to Maturity for a Bond

Consider a bond with a face value of ₹1,000, an annual coupon rate of 6%, a market price of ₹900, and a time to maturity of 10 years. To calculate the YTM for this bond, we can use the formula provided above:

  • Annual Interest = 6% x ₹1,000 = ₹60
  • Face Value = ₹1,000
  • Market Price = ₹900
  • Time to Maturity = 10 years

YTM = [₹60 + (₹1,000 - ₹900) / 10] / [(₹1,000 + ₹900) / 2] = 7.4%

In this example, the bond's YTM is 7.4%. This means that if an investor holds the bond until maturity, they can expect an annualized return of 7.4%.

Yield to Maturity for Debt Funds

Debt funds invest in multiple bonds. Thus, the YTM of a debt fund is the weighted average yield of all the bonds in its portfolio. To calculate the YTM for a debt fund, you first need to calculate the YTM for each bond in the fund using the formula mentioned above. Then, you calculate the weighted average YTM by multiplying each bond's YTM by its respective weight in the portfolio and summing the results.

Practical Example: Calculating Yield to Maturity for a Debt Fund

Now, let's consider a debt fund that invests in three bonds with the following characteristics:

  • Bond A: Face Value = ₹1,000; Annual Coupon Rate = 6%; Market Price = ₹900; Time to Maturity = 10 years; Portfolio Weight = 30%
  • Bond B: Face Value = ₹1,000; Annual Coupon Rate = 5%; Market Price = ₹950; Time to Maturity = 8 years; Portfolio Weight = 40%
  • Bond C: Face Value = ₹1,000;

Annual Coupon Rate = 4%; Market Price = ₹1,100; Time to Maturity = 5 years; Portfolio Weight = 30%

First, we need to calculate the YTM for each bond:

  • Bond A: YTM = [₹60 + (₹1,000 - ₹900) / 10] / [(₹1,000 + ₹900) / 2] = 7.4%
  • Bond B: YTM = [₹50 + (₹1,000 - ₹950) / 8] / [(₹1,000 + ₹950) / 2] = 5.3%
  • Bond C: YTM = [₹40 + (₹1,000 - ₹1,100) / 5] / [(₹1,000 + ₹1,100) / 2] = 3.2%

Next, we calculate the weighted average YTM for the debt fund:

Weighted YTM = (Bond A YTM x Bond A Portfolio Weight) + (Bond B YTM x Bond B Portfolio Weight) + (Bond C YTM x Bond C Portfolio Weight)

Weighted YTM = (7.4% x 30%) + (5.3% x 40%) + (3.2% x 30%) = 5.22%

In this example, the debt fund's YTM is 5.22%. This means that if an investor holds the fund until all bonds in the portfolio mature, they can expect an annualized return of 5.22%.

Interpreting and Using Yield to Maturity

YTM can help investors gauge the potential returns and risks associated with a debt fund. A higher YTM may indicate higher returns but can also signal higher credit risk, as the fund may be investing in lower-rated bonds. Conversely, a lower YTM may suggest lower returns but can indicate lower risk, as the fund may be investing primarily in higher-rated bonds.

When using YTM to make investment decisions, it's essential to consider other factors such as credit quality, duration, and interest rate risk. Moreover, investors should be aware that YTM is a theoretical figure, and actual returns may vary due to changes in interest rates, bond prices, and other market factors.

How yield-to-maturity is calculated – with examples - Upstox (2024)

FAQs

How to calculate yield to maturity with an example? ›

YTM Formula: How to Calculate the Yield to Maturity with a Quick Approximation. To do the math quickly yourself, you can say: $50 + $100 / 5 = $70. Then, $950 is “halfway” between $1,000 and $900. $70 / $1,000 = 7%, so you can say that $70 / $950 is “just above 7%” if you had to answer this question in an interview.

What is the yield to maturity for dummies? ›

Yield to Maturity, or YTM, measures a bond's rate of return when buying it at different times when the price may vary from the original par value. Let's again look at our bond with a par value of $1,000, 5% coupon rate and 3 years to maturity.

How is YTM calculated in a mutual fund? ›

Taking the same example further, suppose the market price of the bond drops to Rs 950 (discounted rate). With your coupon remaining constant at Rs 80 per year, the current yield becomes= Rs 80/ Rs 950 %= 8.421%.

How do you calculate maturity percentage? ›

You can find the maturity value of an investment in four steps:
  1. Determine the principal of the investment.
  2. Calculate the interest rate of the investment.
  3. Determine the time of investment.
  4. Apply the maturity value formula: maturity value = principal x (1 + interest rate) ^ time .
4 days ago

How do you calculate yield to maturity without a calculator? ›

YTM formula is as follows: YTM = APR + ((Face value - current market price) divided by the number of years until maturity). Then take that value and divide it by (Face value + market price) / 2.

How do you calculate effective yield to maturity? ›

Effective Yield = [1 + (i/n)]n – 1

n – The number of coupon payments received in each year.

What is the formula for maturity value? ›

The maturity value formula is V = P x (1 + r)^n. You see that V, P, r and n are variables in the formula. V is the maturity value, P is the original principal amount, and n is the number of compounding intervals from the time of issue to maturity date.

What is the formula for yield? ›

Yield calculation and formula

The calculation for yield differs depending on the type of yield. The common formula is income (eg from dividends or interest payments) divided by investment value. This can then be multiplied by 100 to get a percentage figure.

Is yield to maturity the same as interest rate? ›

The "yield to maturity" is the annual rate of return on the security. In both examples, the yield is higher than the interest rate. Therefore, the price was lower than par value. During the life of the bond or note, you earn interest at the set rate on the par value of the bond or note.

How do you calculate maturity amount from interest rate? ›

M = P+ (P x R x T/ 100), wherein P is the principal amount, R is the rate of interest, and T is tenure in years.

What is the difference between current yield and yield to maturity? ›

A bond's current yield is the investment's annual income, the interest it pays, divided by the current price of the security. Yield to maturity (YTM) is the total return anticipated on a bond if the bond is held until its maturation date.

What is the approximate yield to maturity for a $1000 par value bond selling for $1120 that matures in 6 years and pays 12 percent interest annually? ›

Answer and Explanation:

The approximate yield to maturity is 9.43%.

How do you calculate the percentage yield of an example? ›

To find the yield percent we use the equation: percent yield = actual yield/theoretical yield x 100. Some possible reasons for getting a percent yield that is larger than 100% are: Incorrect Measurements during the experiment resulting in a larger actual yield. Competing reactions or contaminates in the experiment.

What is an example of a yield calculation? ›

For example, if there is a Treasury bond with a face value of $1,000 that matures in one year and pays 5% annual interest, its yield is calculated as $50 / $1,000 = 0.05 or 5%.

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