9.5

Traditional Yield Measures

Traditional Yield Measures are the fundamental ways to express the return on fixed income securities. They help an investment adviser compare bonds, debentures and other debt instruments quickly. The exam tests your ability to calculate and interpret these yields, and to recognise the situations where each measure is appropriate. Mastery of these concepts is essential for advising Indian clients under SEBI regulations.

Learning Objectives

  • 1Define and differentiate Current Yield, Yield to Maturity, Yield to Call and Holding Period Return.
  • 2Apply the standard NISM formulas to compute each yield measure.
  • 3Identify common exam traps related to yield calculations.
  • 4Explain how yield measures influence advisory recommendations.

What are Traditional Yield Measures?

In the world of fixed income, a yield represents the annualised return an investor expects to earn from a security, expressed as a percentage of its price or face value. Traditional yield measures focus on cash‑flow based returns without adjusting for price volatility or credit risk, making them easy to calculate and widely used in advisory practice.

These measures are especially important for Indian investors because most retail bond products – such as government securities, corporate bonds and tax‑free bonds – are quoted in terms of yields. SEBI’s Investment Adviser guidelines require advisers to disclose the yield assumptions used when recommending a debt instrument.

For the NISM Series X‑A exam, you will be asked to compute yields, compare them across securities, and spot typical pitfalls like mixing up current yield with yield to maturity. Understanding the underlying assumptions of each measure will help you answer scenario‑based questions accurately.

⚠️Exam Trap – Current Yield vs. YTM

Students often treat Current Yield as the total return on a bond. Remember, Current Yield ignores capital gains or losses, whereas Yield to Maturity captures the full life‑time return.

Current Yield

Current Yield measures the income component of a bond relative to its current market price. It is calculated by dividing the annual coupon payment by the market price and multiplying by 100 to express it as a percent.

This measure is useful for investors who are primarily interested in the cash‑flow aspect, such as retirees seeking steady income. However, it does not account for any price appreciation or depreciation that will occur if the bond is held to maturity.

On the NISM exam, Current Yield questions often provide the coupon amount, market price and ask you to compute the percentage. Watch out for coupons quoted semi‑annually – you must annualise them before using the formula.

Formula: Current Yield
CP×100\frac{C}{P}\times 100

Where:

C= Annual coupon payment in rupees
P= Current market price of the bond in rupees

Worked Example

Given C = 50, P = 950: Step 1: Current Yield = (50 / 950) × 100 Step 2: Current Yield = 5.263% Verification: (50 / 950) × 100 = 5.263%.

Yield to Maturity (YTM) – Approximation

Yield to Maturity is the internal rate of return earned if the bond is held until it matures, assuming all coupons are reinvested at the same rate. The exact YTM requires solving a present‑value equation, which is iterative. NISM provides an approved approximation that is sufficient for most exam scenarios.

The approximation adds the annual coupon to the average annual capital gain (or loss) and divides by the average of the face value and the purchase price. The result is then annualised and expressed as a percent.

Remember: the approximation is acceptable only when the question explicitly asks for “approximate YTM” or provides limited data. If the exam expects a precise YTM, you would need a financial calculator – which is beyond the scope of the paper.

Formula: Approximate Yield to Maturity (YTM)
C+FPnF+P2×100\frac{C + \frac{F - P}{n}}{\frac{F + P}{2}} \times 100

Where:

C= Annual coupon payment in rupees
F= Face (par) value of the bond in rupees
P= Current market price of the bond in rupees
n= Years to maturity

Worked Example

Given F = 1000, P = 950, C = 50, n = 5: Step 1: Capital gain per year = (F - P) / n = (1000 - 950) / 5 = 10 Step 2: Numerator = C + Capital gain per year = 50 + 10 = 60 Step 3: Denominator = (F + P) / 2 = (1000 + 950) / 2 = 975 Step 4: Approx YTM = (60 / 975) × 100 = 6.154% Verification: (60 / 975) × 100 = 6.154%.

Yield to Call (YTC) and Yield to Worst (YTW)

Many Indian corporate bonds are callable, meaning the issuer can redeem them before maturity at a predetermined call price. Yield to Call is calculated similarly to YTM but uses the call price and the years until the call date.

The NISM syllabus provides an approximation identical in form to the YTM formula, substituting the call price (CP) for the face value. This helps advisers assess the worst‑case return if the bond is called early.

Yield to Worst is the lowest yield among YTM, YTC and any other optional redemption yields. It is the most conservative figure and is the one SEBI expects advisers to disclose when presenting callable bonds.

Formula: Approximate Yield to Call (YTC)
C+CPPnCP+P2×100\frac{C + \frac{CP - P}{n}}{\frac{CP + P}{2}} \times 100

Where:

C= Annual coupon payment in rupees
CP= Call price of the bond in rupees
P= Current market price in rupees
n= Years until the call date

Worked Example

Given CP = 1020, P = 950, C = 50, n = 3: Step 1: Capital gain per year = (CP - P) / n = (1020 - 950) / 3 = 23.33 Step 2: Numerator = C + Capital gain per year = 50 + 23.33 = 73.33 Step 3: Denominator = (CP + P) / 2 = (1020 + 950) / 2 = 985 Step 4: Approx YTC = (73.33 / 985) × 100 = 7.44% Verification: (73.33 / 985) × 100 = 7.44%.

Holding Period Return (HPR) for Fixed Income

Holding Period Return captures the total return earned over the actual holding period, which may be shorter than the bond’s full term. It includes both coupon income received and any price change between purchase and sale.

The formula adds the income (I) to the capital gain (P1‑P0) and divides by the initial purchase price (P0). This measure is useful when an adviser recommends selling a bond before maturity.

On the exam, HPR questions often give you the purchase price, sale price and total coupons received during the holding period. Be careful to annualise the result only if the question explicitly asks for an annualised return.

Formula: Holding Period Return (HPR)
I+(P1P0)P0×100\frac{I + (P_{1} - P_{0})}{P_{0}} \times 100

Where:

I= Total coupon income received during the holding period in rupees
P_{1}= Sale price (or market price at the end of holding) in rupees
P_{0}= Purchase price (initial investment) in rupees

Worked Example

Given P0 = 950, P1 = 970, I = 45: Step 1: Capital gain = P1 - P0 = 970 - 950 = 20 Step 2: Numerator = I + Capital gain = 45 + 20 = 65 Step 3: HPR = (65 / 950) × 100 = 6.842% Verification: (65 / 950) × 100 = 6.842%.

Comparison of Traditional Yield Measures

Yield MeasureDefinitionCalculation BasisTypical Exam Focus
Current YieldIncome return based on current priceAnnual coupon ÷ Market priceStraight‑forward % calculation
Yield to Maturity (Approx.)Total return if held to maturity (approx.)Coupon + avg. capital gain ÷ avg. priceUse when maturity data given
Yield to Call (Approx.)Return if bond is called early (approx.)Coupon + avg. call‑price gain ÷ avg. priceApplicable to callable bonds
Yield to WorstLowest of YTM, YTC, etc.Select minimum yield among optionsSEBI disclosure requirement
Holding Period ReturnReturn over actual holding periodIncome + price change ÷ Purchase priceScenario‑based questions

Traditional Yield Measures for Sample Bonds

ℹ️Exam Tip – Use Approximation Only When Asked

If the question states “approximate YTM” or provides limited data, apply the NISM approximation. For exact YTM, the exam will either give the answer or require a financial calculator; do not force the approximation.

Example: NISM‑Style Scenario: Computing Current Yield and Approximate YTM

Scenario

An Indian retail investor is considering a corporate bond with a face value of ₹1,000, a 5% annual coupon, and a current market price of ₹950. The bond matures in 5 years. Compute the Current Yield and the Approximate Yield to Maturity.

Solution

Step 1: Compute Current Yield using the formula C ÷ P × 100. Here C = 5% of 1,000 = ₹50. Current Yield = (50 ÷ 950) × 100 = 5.263%.\nStep 2: Apply the Approximate YTM formula: Numerator = C + (F‑P)/n = 50 + (1,000‑950)/5 = 50 + 10 = 60. Denominator = (F + P)/2 = (1,000 + 950)/2 = 975. Approx YTM = (60 ÷ 975) × 100 = 6.154%.\nStep 3: Present both results rounded to two decimals: Current Yield ≈ 5.26%, Approximate YTM ≈ 6.15%.

Conclusion

The bond offers a modest income yield but a higher total return if held to maturity. Remember to distinguish the two percentages in advisory discussions and exam answers.

Impact of Market Price Changes and Practical Use for Advisers

Bond prices and yields move inversely: when market prices rise, yields fall, and vice‑versa. This relationship is central to advising clients who react to interest‑rate movements. For example, a decline in RBI policy rates will push existing bond prices up, reducing their yields.

Advisers use the appropriate yield measure based on the client’s horizon. Income‑focused clients may care more about Current Yield, while long‑term investors need YTM or YTW to gauge total return. SEBI mandates that advisers disclose the Yield to Worst for callable bonds, ensuring clients understand the most conservative outcome.

In practice, you will compare yields across different issuers, sectors and credit ratings. A higher Yield to Maturity does not automatically mean a better investment; it may reflect higher credit risk. Balancing yield with credit quality and duration is the hallmark of a prudent advisory recommendation.

⚠️Common Mistake – Higher Coupon ≠ Higher Yield

A bond with a larger coupon may have a lower Yield to Maturity if its market price is high. Always compute the yield rather than relying on coupon size alone.

Exam Takeaways

  • Current Yield = (Annual Coupon ÷ Market Price) × 100 – reflects income only.
  • Approximate YTM = \frac{C + \frac{F-P}{n}}{\frac{F+P}{2}} × 100 – captures total return if held to maturity.
  • Yield to Call uses the call price in place of face value; Yield to Worst is the lowest of YTM, YTC, etc.
  • Holding Period Return = \frac{Income + (Sale Price - Purchase Price)}{Purchase Price} × 100 – useful for early sales.
  • Bond price and yield move inversely; higher coupons can still yield lower YTM if the price is premium.
  • SEBI requires advisers to disclose Yield to Worst for callable bonds.
  • Use the approximation only when the question explicitly asks for it; otherwise, the exact YTM is not required on the paper.
  • Memorise the three‑step approximation method – coupon, capital gain per year, average price – to avoid calculation errors.

Practice Questions

8 questions on Traditional Yield Measures

1

What does the Current Yield of a bond measure?

2

Which formula represents the NISM approximation for Yield to Maturity (YTM)?

3

A bond pays an annual coupon of ₹60 and is currently priced at ₹1,200. What is its Current Yield (rounded to two decimals)?

4

Using the NISM approximation, calculate the Yield to Maturity for a bond with face value ₹1,000, market price ₹920, annual coupon ₹40 and 4 years to maturity. (Round to two decimals)

5

A callable bond has face value ₹1,000, call price ₹1,025, current price ₹970, annual coupon ₹45, 6 years to maturity and 3 years to the call date. What is the Yield to Worst (YTW) using the NISM approximations?

6

Which statement best illustrates the exam warning that a higher coupon does not necessarily mean a higher yield?

7

For a retiree primarily interested in steady income, which traditional yield measure should an adviser emphasize?

8

How do bond prices and yields move in relation to each other?

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