Bond Characteristics
Bond Characteristics form the foundation of fixed‑income investing. This sub‑topic explains the key attributes of a bond, how they affect price and yield, and why SEBI‑mandated disclosures matter for Portfolio Management Services (PMS) distributors. Mastery helps you answer calculation‑based questions and avoid common conceptual traps in the NISM Series XXI‑A exam.
Learning Objectives
- 1Identify and define the main features of a bond such as face value, coupon rate, maturity and rating.
- 2Calculate bond price using the standard pricing formula and interpret the result.
- 3Distinguish between coupon rate, current yield and yield to maturity and know when each is used in the exam.
- 4Understand how bond characteristics influence risk, duration and client suitability.
Bond Basics
A bond is a debt instrument issued by a borrower (government, PSU, corporate, etc.) to raise capital from investors. The issuer promises to pay a fixed coupon at regular intervals and to return the face value (also called par value) on the maturity date.
In the Indian context, SEBI requires the issuer to disclose the coupon frequency (annual, semi‑annual, or quarterly), the date of first coupon, and any call/put options. These disclosures affect the cash‑flow timing that distributors must model when constructing a portfolio.
Exam relevance: Questions often present a bond’s face value, coupon rate and years to maturity, then ask for price, yield or cash‑flow schedule. Remember that the coupon amount is calculated on the face value, not on the market price.
- Face Value – amount repaid at maturity, usually ₹100 or ₹1,000 per unit.
- Coupon Rate – annual interest expressed as a percent of face value.
- Maturity – the date when the principal is repaid.
Coupon Rate, Face Value and Maturity
The coupon rate is fixed at issuance and determines the periodic interest payment. For a bond with ₹1,000 face value and an 8% coupon, the annual coupon amount is ₹80. If coupons are paid semi‑annually, each payment is ₹40.
Maturity defines the horizon of the cash‑flow stream. Short‑term bonds (≤3 years) have lower interest‑rate risk, while long‑term bonds (≥10 years) are more sensitive to rate changes, a point frequently tested in risk‑assessment questions.
Why it matters for the exam: The relationship between coupon rate and prevailing market rates determines whether a bond trades at a premium, discount or at par. If the coupon is higher than the market yield, the bond will be priced above face value (premium); the opposite yields a discount.
Students often mistake the coupon rate for the bond’s yield. Remember: coupon is fixed on face value, while yield (current yield or YTM) reflects the market price. The exam will test your ability to separate the two.
Bond Pricing Formula
The price of a bond is the present value of all future cash flows – the periodic coupons and the face value at maturity. Discounting uses the market yield (y) as the discount rate, not the coupon rate.
Mathematically, the price (P) is calculated as:
P = \frac{C}{y}\left(1 - \frac{1}{(1+y)^{n}}\right) + \frac{FV}{(1+y)^{n}}
Where C is the annual coupon amount, y is the market yield (in decimal), n is the number of years to maturity, and FV is the face value. This formula is a staple of NISM calculations and appears in multiple-choice and numerical questions.
Where:
P= Bond price in rupeesC= Annual coupon amount in rupees (Face Value × Coupon Rate)y= Market yield per annum in decimal (e.g., 6% = 0.06)n= Number of years to maturityFV= Face value of the bond in rupeesWorked Example
Given FV = 1000, Coupon Rate = 8% → C = 80, Market Yield y = 6% (0.06), n = 5 years: Step 1: Compute C/y = 80 ÷ 0.06 = 1333.33 Step 2: Compute (1+y)^n = (1.06)^5 ≈ 1.3382 Step 3: Compute 1/(1+y)^n = 1 ÷ 1.3382 ≈ 0.7473 Step 4: Compute 1 - 0.7473 = 0.2527 Step 5: First term = 1333.33 × 0.2527 ≈ 336.99 Step 6: Second term = 1000 ÷ 1.3382 ≈ 747.26 Step 7: Price P = 336.99 + 747.26 ≈ 1084.25 Verification: \frac{80}{0.06}\left(1 - \frac{1}{1.06^{5}}\right) + \frac{1000}{1.06^{5}} = 1084.25.
Current Yield
Current yield provides a quick snapshot of the income generated by a bond relative to its market price. It is calculated by dividing the annual coupon by the current market price.
The formula is simple, but the exam tests whether you apply it to the correct price (market price, not face value) and express the result as a percentage.
Current yield does not consider capital gains or losses that arise when the bond is held to maturity, so it differs from Yield to Maturity (YTM). Knowing when the exam expects current yield versus YTM is crucial for scoring.
Where:
C= Annual coupon amount in rupeesP= Current market price of the bond in rupeesWorked Example
Using the bond priced at ₹1,084.25 with an annual coupon of ₹80: Step 1: Current Yield = (80 ÷ 1084.25) × 100 Step 2: 80 ÷ 1084.25 ≈ 0.0738 Step 3: ×100 = 7.38% Verification: (80 / 1084.25) × 100 = 7.38%.
Yield to Maturity (YTM) – Conceptual Overview
Yield to Maturity (YTM) is the internal rate of return (IRR) that equates the present value of all future cash flows to the bond’s current market price. It incorporates both coupon income and any capital gain or loss realized at maturity.
While the exact YTM calculation requires iterative methods or a financial calculator, the NISM exam often asks you to identify the relationship: when a bond trades at a premium, YTM < coupon rate; when at a discount, YTM > coupon rate.
Understanding this relationship helps you answer scenario‑based questions where the exam gives you price and coupon and asks whether the bond is priced above or below par, without requiring a numeric YTM solve.
Classification of Bonds by Issuer in India
| Issuer Type | Typical Rating Range | Key Feature for Investors |
|---|---|---|
| Government of India (G‑Sec) | AAA | Highest credit safety, tax‑exempt interest in some cases |
| Public Sector Undertaking (PSU) | AA‑A | Slightly higher yield than G‑Sec, still low default risk |
| Corporate | BBB‑B | Higher yield, credit risk varies with industry and leverage |
| Municipal/Local Authority | A‑BBB | Often used for infrastructure projects, may have tax benefits |
Average Yield by Bond Category (2024 Snapshot)
Scenario
Rohit, a 45‑year‑old investor, wants a fixed‑income instrument for the next 7 years with a target annual return of at least 7%. He approaches a PMS distributor who considers a corporate bond with a face value of ₹1,000, coupon rate 8%, market price ₹950, and maturity in 7 years.
Solution
Step 1: Compute the annual coupon = 8% of 1,000 = ₹80. Step 2: Calculate current yield = (80 ÷ 950) × 100 ≈ 8.42%, which already exceeds Rohit's 7% target. Step 3: Since the bond is priced at a discount (price < face value), its YTM will be higher than the coupon rate, further confirming suitability. Step 4: Assess credit rating (assume BBB) and match it with Rohit's risk tolerance. The distributor can recommend the bond, noting the higher yield and the 7‑year horizon aligns with Rohit's plan.
Conclusion
The bond meets the income target and maturity requirement, but the distributor must disclose the BBB rating and advise Rohit about possible interest‑rate risk if rates fall.
Many candidates treat the face value as the market price when calculating yields. Always use the actual quoted price; otherwise your yield calculations will be off and you’ll lose marks.
Duration and Interest‑Rate Risk
Duration measures the weighted average time to receive a bond’s cash flows and is a proxy for interest‑rate sensitivity. Longer‑duration bonds experience larger price swings when market yields change.
In the Indian PMS context, SEBI expects distributors to match a client’s investment horizon with the bond’s duration. A mismatch can be flagged as unsuitable advice during compliance checks.
Exam tip: If the question gives a high coupon and short maturity, the duration will be low, indicating lower interest‑rate risk. Conversely, low‑coupon, long‑maturity bonds have high duration and higher risk, which the exam may test through scenario analysis.
⭐Exam Takeaways
- Bond price equals the present value of coupons plus discounted face value; use the market yield, not the coupon rate, as the discount rate.
- Current yield = (Annual Coupon ÷ Market Price) × 100 – a quick income measure that ignores capital gains/losses.
- When a bond trades at a premium, its YTM is lower than the coupon; at a discount, YTM is higher – a relationship frequently tested.
- Classify bonds by issuer (Government, PSU, Corporate, Municipal) to answer credit‑risk and yield‑comparison questions.
- Duration reflects interest‑rate risk; match duration with client investment horizon to satisfy SEBI suitability norms.
Practice Questions
8 questions on Bond Characteristics
What is the term for the amount repaid at maturity of a bond?
Which formula correctly represents the current yield of a bond?
A bond has a face value of ₹1,000 and an annual coupon rate of 8%. What is the annual coupon amount?
If a bond’s coupon rate is higher than the prevailing market yield, how will the bond be priced relative to its face value?
Using the bond pricing formula, calculate the price of a bond with FV ₹1,000, coupon rate 8% (C=₹80), market yield 6% (y=0.06) and 5 years to maturity.
A corporate bond with face value ₹1,000, coupon rate 8% is trading at ₹950 and has 7 years to maturity. What can be said about its Yield to Maturity (YTM) relative to the coupon rate?
Which issuer type typically has the highest credit safety rating in India?
An investor seeks at least a 7% annual return over 7 years. A bond offers FV ₹1,000, coupon 8%, market price ₹950. Based on current yield, is the bond suitable?
