1Learning roadmap
A bond is a contract for borrowing money. To understand any bond, ask: who owes you, what cash flows are promised, when principal comes back, and who can change those payments? This guide builds those questions around a ₹1,000 investment.
By the end, you should be able to classify bonds along several dimensions, draw their cash flows, compare embedded options, and explain why a higher coupon is not automatically a better return. Examples are hypothetical, before fees and taxes; they are not current offers.
2Bond anatomy and the running example
| Term | Meaning | Our starting contract |
|---|---|---|
| Face value | Principal used to calculate the coupon | ₹1,000 |
| Coupon rate | Annual interest rate applied to the relevant principal | 8% fixed |
| Maturity | Scheduled final repayment date | 5 years |
| Frequency | Number of coupon payments each year | Annual |
| Redemption | Principal paid at maturity | ₹1,000 at par |
| Seniority / security | Legal priority and any pledged collateral | Senior unsecured |
| Options | Rights to change the scheduled contract | None |
Annual coupon = ₹1,000 × 8% = ₹80. Years 1–4 pay ₹80 each; year 5 pays ₹1,080. At issue at par, the investor pays ₹1,000. The market price later can differ from face value.
3One bond can have many labels
Bond categories overlap. “Corporate” describes the issuer; “floating-rate” describes the coupon; “secured” describes collateral; “callable” describes an issuer option. None excludes the others.
| Classification axis | Examples | Question answered |
|---|---|---|
| Issuer | Sovereign, state, municipal, corporate, supranational | Who must pay? |
| Coupon | Fixed, floating, zero, inflation-linked, step-up | How is interest determined? |
| Principal | Bullet, amortising, sinking-fund, perpetual | When is capital returned? |
| Rights | Callable, puttable, convertible | Who can alter the cash flows? |
| Credit / ranking | Investment grade, high yield, senior, subordinated | How vulnerable is repayment? |
| Currency / purpose | Domestic, foreign currency, green, social | What currency and financing purpose? |
A five-year, senior secured, callable, floating-rate corporate bond has five separate characteristics. Its security does not remove the call option, and its floating coupon does not remove default risk.
4Government and public-sector bonds
Sovereign bonds are issued by national governments. State and local authorities also borrow; supranational institutions issue debt backed by their own financial structures. Credit quality depends on the actual obligor, currency and legal terms. Public ownership alone is not an explicit government guarantee.
| Instrument / issuer | Cash-flow idea | Risk to examine |
|---|---|---|
| Government of India dated securities | Many pay fixed semiannual coupons; other structures exist | Market-rate sensitivity and inflation |
| State Development Loans | State government borrowing | State finances, liquidity and relative spreads |
| Municipal bonds | Local authority or project borrowing | Revenue source, security and issuer capacity |
| Supranational bonds | Debt of a multilateral institution | Institutional credit support and currency |
At 8% on ₹1,000, two equal regular semiannual coupon payments are ₹40 each. Do not discount each ₹40 using a full annual rate without converting the compounding convention.
For Indian market terminology, see the RBI government-securities primer.
General obligation, revenue and agency debt
| Structure | Source of repayment | Question to investigate |
|---|---|---|
| Municipal general obligation (GO) | Issuer’s general resources and taxing authority, within applicable law | What legal pledge and fiscal capacity support payment? |
| Municipal revenue bond | Specified project or system revenues, as defined by the security documents | Can tolls, tariffs or user charges cover debt service? |
| Agency / government-sponsored issuer | Issuer resources plus any legally specified support | Is support explicit, limited or only expected? |
| Supranational | Resources and support arrangements of the institution | What capital, shareholder support and creditor status apply? |
An association with government does not make every agency security sovereign-guaranteed. Municipal structures and tax rules also differ across countries. A project’s revenue covenant can require tariffs sufficient to maintain an agreed debt-service coverage ratio.
5Corporate credit, security and seniority
Corporate bondholders lend to a company; shareholders own a residual interest. Interest and principal remain subject to the issuer’s capacity and contractual obligations. Ratings summarise a credit opinion; they do not guarantee repayment or liquidity.
| Feature | Meaning | What it does not promise |
|---|---|---|
| Secured | Claims supported by specified collateral | Full recovery in every default |
| Senior unsecured | General creditor claim with contractual priority over subordinated debt | Priority over all secured claims on their collateral |
| Subordinated | Ranks behind specified senior creditors | The same recovery as senior debt |
| Investment grade / high yield | Credit-rating categories; high yield indicates greater credit risk | An assured realised return |
On ₹1,000 principal, a simplified 40% principal recovery is ₹400, leaving ₹600 principal loss before coupons, costs and timing effects. The recovery depends on assets, collateral and the insolvency process.
Terms such as “debenture” vary across jurisdictions. Read the security documents rather than inferring collateral from the name. See Investor.gov’s corporate-bond overview.
Covenants: what the borrower must do
| Covenant | What it addresses | Worked interpretation |
|---|---|---|
| Affirmative | Obligations such as providing financial reports | Deliver audited accounts by the contractual deadline |
| Negative pledge | Restrictions on granting security to other creditors | Read the permitted-lien exceptions; this does not itself create collateral |
| Incurrence test | A test when taking a specified action | Additional borrowing allowed only if the stated leverage test is met |
| Maintenance test | A test at recurring dates | Leverage must remain within a limit at each testing date |
| Cross-default / cross-acceleration | Events on other debt that can trigger rights here | Thresholds, cure periods and acceleration requirements differ |
| Change-of-control put | Holder redemption right following specified events | A 101% put on $1,000 face pays $1,010 plus any contractually payable accrued interest |
Incurrence and maintenance describe when a test applies; affirmative and negative describe the obligation’s nature. Covenant packages vary by transaction. Do not assume every investment-grade or high-yield bond contains the same protections.
Payment-in-kind interest
PIK interest is added to debt or paid in additional securities instead of cash, according to the terms. A $1,000 balance with 8% annual capitalised PIK becomes $1,080 after one year and $1,166.40 after two. The growing claim does not provide current cash or ensure eventual recovery.
6Fixed-rate bonds
The coupon rate remains unchanged under the contract. With a bullet structure, principal is returned at maturity. A stable coupon fixes scheduled income, not the resale price or purchasing power.
Our ₹80 annual coupon remains ₹80 if the market price falls to ₹950. Current yield becomes ₹80 / ₹950 = 8.42%. That is not yield to maturity: it ignores the timing and value of the ₹1,000 redemption.
For unchanged promised cash flows, a higher required yield implies a lower present value. Longer maturities and lower coupons generally increase interest-rate sensitivity, other things equal. Coupon receipts also create reinvestment risk.
7Zero-coupon bonds and STRIPS
A zero-coupon bond makes no periodic coupon payments. Its return comes from the difference between the purchase price and redemption amount, provided the issuer pays. STRIPS separate eligible bond coupons and principal into individually tradable zero-coupon claims.
At an 8% annually compounded yield, price = ₹1,000 / 1.08⁵ = ₹680.58. Holding to maturity produces ₹319.42 of price accretion over five years; this is not an 8% cash payment each year.
A zero avoids interim coupon reinvestment but can be highly price-sensitive before maturity. Tax treatment may recognise income before cash receipt, depending on jurisdiction. TreasuryDirect explains marketable securities and STRIPS.
8Floating-rate notes and step-up bonds
A floating-rate coupon resets using a specified benchmark plus a contractual spread. The benchmark, fixing date, reset frequency, payment lag, day-count basis, cap and floor determine the payment. A step-up bond instead changes its coupon according to a predefined schedule or trigger.
Assume ₹1,000 principal, benchmark + 1.50%, and a 90/360 accrual fraction. A 6.00% fixing gives ₹1,000 × 7.50% × 90/360 = ₹18.75. A later 7.00% fixing gives ₹21.25 for an equal-length quarter.
Frequent resetting often reduces sensitivity to the benchmark rate, but credit-spread changes, caps, floors and liquidity can still move the price. Floating-rate does not mean capital-protected.
A contract paying 6% in year 1, 7% in year 2 and 8% in year 3 follows a schedule. It does not automatically rise when market rates rise.
9Inflation-linked bonds
Inflation-linked bonds tie principal or payments to a specified price index. US TIPS apply a fixed coupon rate to inflation-adjusted principal. The index, lag and any redemption floor matter; structures differ by country.
With ₹1,000 base principal and an index ratio of 1.05, adjusted principal is ₹1,050. At a 2% annual coupon rate paid semiannually, a coupon calculated on that adjusted principal is ₹10.50. This uses rupees only to illustrate the arithmetic, not to describe an Indian TIPS product.
For US TIPS, maturity redemption is the greater of adjusted principal and original principal. This does not guarantee recovery of a premium paid in the secondary market. Their prices can fall when real yields rise. Source: TreasuryDirect, TIPS.
10Bullet, amortising and sinking-fund bonds
A bullet returns principal at final maturity. An amortising bond returns some principal along the way, reducing the balance on which interest is charged. A sinking-fund provision requires scheduled retirement or funding arrangements under the indenture; individual holders may be affected differently.
| Year | Opening principal | 8% interest | Principal repaid | Total receipt |
|---|---|---|---|---|
| 1 | ₹1000 | ₹80 | ₹200 | ₹280 |
| 2 | ₹800 | ₹64 | ₹200 | ₹264 |
| 3 | ₹600 | ₹48 | ₹200 | ₹248 |
| 4 | ₹400 | ₹32 | ₹200 | ₹232 |
| 5 | ₹200 | ₹16 | ₹200 | ₹216 |
The year-1 receipt of ₹280 includes ₹200 of your own principal. Only ₹80 is interest. An amortising bond’s larger early cash receipt is not necessarily a higher investment return.
11Callable bonds: the issuer’s option
A call provision lets the issuer redeem under specified conditions, often after a protection period and at a specified price. When refinancing becomes cheaper, a call may be attractive to the issuer, leaving investors to reinvest at lower rates.
If our 8% bond is called at ₹1,020 immediately after its year-3 coupon, receipts are ₹80, ₹80 and ₹1,100. Years 4 and 5 disappear. At a ₹1,000 purchase price, solve the three-year cash-flow equation for yield to call, rather than using five-year maturity.
For otherwise comparable instruments, callable value = option-free bond value − issuer call value. Price upside can be limited as the call becomes likely. Make-whole calls use different compensation mechanics. Compare relevant yields to call and maturity; yield to worst is a contractual yield scenario, not protection against default. Source: Investor.gov, callable bonds.
12Puttable and convertible bonds
A put gives the holder a right to demand redemption on stated terms. A conversion right permits exchange into shares using a defined ratio, sometimes subject to issuer actions or mandatory conversion provisions.
| Feature | Who benefits from the option? | Simple example |
|---|---|---|
| Puttable | Holder, subject to issuer solvency | Put ₹1,000 principal back at par in year 3 |
| Convertible | Holder for a conventional voluntary conversion right | Convert ₹1,000 face into 20 shares |
| Callable convertible | Both sides hold different rights | Issuer call may influence the holder’s conversion decision |
A 20-share conversion ratio implies a ₹50 conversion price per share. At a ₹60 share price, conversion value is ₹1,200. At ₹40 it is ₹800. The convertible’s market value need not equal either conversion value or face value: remaining coupons, credit and option terms also matter.
For a comparable simple puttable bond, value = straight-bond value + holder put value. The issuer must still be able to honour the put.
13Perpetuals, hybrids and contingent capital
A perpetual has no scheduled final maturity. Some hybrids allow coupon deferral, cancellation or loss absorption. Bank regulatory-capital instruments can contain write-down or conversion triggers and subordinated ranking. The precise contractual and regulatory terms dominate the familiar word “bond”.
If ₹80 is paid forever and the required annual yield is 10%, theoretical value = ₹80 / 0.10 = ₹800. This assumes constant perpetual payments and yield, and no default or optionality. It is not an appropriate complete valuation model for a callable loss-absorbing bank security.
A first call date is not a maturity promise. Do not treat perpetual capital as a deposit or assume a missed coupon always has the same default consequence as on ordinary senior debt.
14Securitised bonds: ABS and MBS
Asset-backed securities draw payments from pools such as auto loans or receivables. Mortgage-backed securities are supported by mortgage cash flows. A waterfall allocates payments and losses across claims or tranches; guarantees and legal structures vary.
If mortgage borrowers refinance, principal may return earlier than expected. If rates rise and refinancing slows, principal may return later. These are prepayment and extension risk, respectively; the expected maturity can change.
A senior tranche is protected by structural subordination only to the extent provided by the deal. Collateral losses, correlation, servicing and the waterfall still need analysis.
15Currency, international markets and labelled bonds
Currency is a separate risk dimension. An investor’s home-currency return depends on both the bond return and the exchange rate. Foreign bonds are issued by foreign borrowers in a domestic market under that market’s framework; Eurobonds are international issues outside the domestic market of their currency and need not be denominated in euros.
Suppose a $1,000 investment returns $1,050 after one year. If USD/INR moves from ₹85 to ₹80, the original outlay is ₹85,000 and the final proceeds are ₹84,000: a −1.18% rupee return before costs, despite a 5% dollar return.
Green, social and sustainability bonds typically describe eligible use of proceeds. Sustainability-linked bonds tie financial terms to stated performance targets. These labels do not by themselves establish seniority, collateral or a repayment guarantee.
A hypothetical sustainability-linked ₹1,000 bond increases its annual coupon by 25 basis points if a target is missed. That is ₹2.50 additional annual interest, if triggered under the contract; it is not a 25% increase in principal.
16Compare the structures
| Type | Scheduled income | Principal timing | Main extra question |
|---|---|---|---|
| Fixed bullet | Fixed coupons | At maturity | What happens if yields rise? |
| Zero coupon | None before redemption | At maturity | Can you tolerate price volatility? |
| Floating rate | Benchmark-linked | Contract-dependent | What reset, spread, cap and floor? |
| Inflation-linked | Index-dependent amount | Index-linked terms | Which index, real yield and floor? |
| Amortising | Declines with balance if rate fixed | In instalments | How will returned principal be reinvested? |
| Callable | Until call or maturity | Issuer can accelerate | What are call dates and prices? |
| Puttable | Until put or maturity | Holder can accelerate | Can issuer fund the put? |
| Convertible | Coupon plus equity option | Cash or shares under terms | What conversion and dilution rules? |
| Perpetual / hybrid | Contract-dependent | No scheduled maturity | Can coupons or principal absorb losses? |
| ABS / MBS | Pool-dependent | Often uncertain | What waterfall and prepayment behaviour? |
Credit ratings, spreads and expected loss
The usual long-term investment-grade boundary is BBB− for S&P/Fitch and Baa3 for Moody’s; BB+/Ba1 begins speculative grade. Ratings express opinions, and agency definitions are not identical. A rating does not determine a unique spread or default probability.
A credit spread compensates for more than expected default loss: liquidity, uncertainty, risk premiums, maturity and options can contribute. A simple yield difference requires comparable maturity and conventions. An option-adjusted spread uses a model to account for embedded options; its value depends on that model.
| Measure | Meaning | Illustration |
|---|---|---|
| Spread | Yield premium over a stated reference | 6.90% bond yield − 5.00% reference = 190 basis points |
| PD | Probability of default over a specified horizon | 0.35% over one year |
| LGD | Loss given default as a fraction of exposure | 1 − 43.5% assumed recovery = 56.5% |
| EAD | Exposure at default | $10,000,000 |
| Expected loss | EAD × PD × LGD | $10,000,000 × 0.0035 × 0.565 = $19,775 |
The PD and recovery in this example are workbook scenario assumptions, not current market estimates or verified historical averages. Expected loss is an average across possible outcomes, not a forecast of the actual loss on one bond. Seniority, collateral, jurisdiction and the enterprise structure affect recoveries.
For the workbook’s four equal-$10 million exposures, the assumed PD/LGD pairs are 0.08%/27.5%, 0.35%/56.5%, 2.10%/56.5% and 7.80%/69.0%. Their expected losses are $2,200, $19,775, $118,650 and $538,200: total $678,825, or 1.6971% of $40 million. Add exposure-level expected losses; multiplying separate average PD and average LGD generally gives a different answer.
Tax and liquidity comparisons
Tax outcomes depend on the security, investor and jurisdiction. If a hypothetical 3.5% yield is entirely exempt from the tax being compared and the alternative is taxed at 30%, its taxable-equivalent yield is 3.5% / (1 − 30%) = 5.00%. This simple comparison assumes otherwise comparable risk and ignores other taxes. No municipal, supranational or sustainable label establishes universal tax exemption.
For liquidity, inspect actual trading frequency, issue size, bid–ask spread and available size at quoted prices. A broad label such as “investment grade” does not guarantee an easy exit during market stress.
17Interactive cash-flow laboratory
Compare a fixed bullet, zero-coupon and equal-principal amortising structure. Change coupon, maturity and required yield. All calculations use annual periods, ₹1,000 face value, settlement at time zero, no accrued interest, no fees, no default and no embedded options. The zero-coupon choice ignores the coupon input.
At an 8% coupon and an 8% required yield, the fixed bullet and equal-principal amortising bonds both price at ₹1,000. The five-year zero prices at ₹680.58. Raise required yield to 10%: the fixed bullet falls to ₹924.18.
Workbook case: compare five $1,000 structures
This separate classroom case preserves the workbook’s dollar units and 5% assumptions. The rupee calculator above remains an independent exercise. Bullet and amortising coupons are 5%; the zero is purchased at a 5% annual yield. The floating note uses annual illustrative benchmark fixings of 4.00%, 4.50%, 3.50%, 3.00% and 3.25%, plus 1.50%. The indexed bond uses a 2% real coupon and constant 3% annual inflation.
| Year | Fixed bullet | Zero | Amortising | Floating | Indexed |
|---|---|---|---|---|---|
| 1 | $50.00 | $0.00 | $250.00 | $55.00 | $20.60 |
| 2 | $50.00 | $0.00 | $240.00 | $60.00 | $21.22 |
| 3 | $50.00 | $0.00 | $230.00 | $50.00 | $21.85 |
| 4 | $50.00 | $0.00 | $220.00 | $45.00 | $22.51 |
| 5 | $1,050.00 | $1,000.00 | $210.00 | $1,047.50 | $1,182.46 |
| Structure | Initial outlay | Total receipts | Receipts less outlay | Cash-flow IRR |
|---|---|---|---|---|
| Fixed bullet | $1,000.00 | $1,250.00 | $250.00 | 5.00% |
| Zero coupon | $783.53 | $1,000.00 | $216.47 | 5.00% |
| Amortising | $1,000.00 | $1,150.00 | $150.00 | 5.00% |
| Floating | $1,000.00 | $1,257.50 | $257.50 | 5.1803% |
| Indexed | $1,000.00 | $1,268.64 | $268.64 | 5.06% |
The three 5%-IRR structures have different total dollar gains because their investment amounts and capital-return timing differ. Total receipts are not comparable annual returns. The floating IRR is conditional on the assumed future fixings; the arithmetic average coupon is 5.15% and is not the IRR.
For the indexed example, year-5 principal is $1,000 × 1.03⁵ = $1,159.27. The model’s nominal return is (1.02 × 1.03) − 1 = 5.06%. These annual schedules are simplified teaching models. Actual US TIPS pay semiannually and use their contractual indexation conventions; actual FRNs follow their own fixing, accrual and reset terms.
18Formula sheet and Excel blueprint
| Calculation | Formula / Excel example | Convention |
|---|---|---|
| Coupon | Face × annual coupon rate / payments per year | Equal regular coupon periods |
| Present value | P = Σ CFₜ / (1 + y)ᵗ | Annual yield; t in years |
| Five-year bullet | =PV(8%,5,-80,-1000) | Positive result ₹1,000 |
| Five-year zero | =1000/(1+8%)^5 | ₹680.58 |
| Yield to maturity | =RATE(5,80,-1000,1000) | 8% annual yield at par |
| Floating coupon | Outstanding principal × (benchmark + spread) × day fraction | Contractual day-count convention |
| Conversion value | Conversion ratio × share price | Before other option adjustments |
| Home-currency return | (1 + foreign return) × (ending FX / starting FX) − 1 | FX is home currency per foreign unit |
For a cash-flow worksheet, place years 1–5 in A2:A6, opening principal in B2:B6, interest in C2:C6 and principal repayments in D2:D6. Set E2 = C2+D2 and F2 = E2/(1+$H$1)^A2, then fill down. Put the annual yield in H1 and sum F2:F6. For equal-principal amortisation, principal repayment is ₹200 a year; reduce the next opening balance accordingly.
YTM is an internal rate of return on promised cash flows. Achieving the same compounded terminal return also depends on reinvestment at that yield and receiving all payments. Use actual date and day-count conventions for real instruments.
Workbook extension: price, duration and convexity
Use $1,000 face, a 5.5% annual coupon, ten years, semiannual payments and a 5.0% nominal annual yield compounded semiannually. Assume settlement on a coupon date with no accrued interest. There are 20 periods, each coupon is $27.50, and the periodic discount rate is 2.5%.
| Output | Recomputed result | Interpretation |
|---|---|---|
| Price | $1,038.9729 | Premium because coupon exceeds required yield |
| Macaulay duration | 7.87135 years | Present-value-weighted average payment time |
| Modified duration | 7.67937 years | Macaulay duration / 1.025 |
| Convexity | 72.08323 years² | Second-order sensitivity to the quoted annual yield |
| DV01 | $0.79787 per bond | Approximate price decline for a 1 bp yield increase |
Calculate these from the same discounted cash flows. With period k, frequency m = 2 and price P: DMac = Σ[(k/m) × CFk/(1+y/m)k]/P. Convexity = Σ[k(k+1) × CFk/(1+y/m)k+2]/(P m²). For a small yield change, ΔP/P ≈ −DmodΔy + ½ Convexity × (Δy)².
Keep annual rates, periodic rates, number of periods and time in years consistent. Between coupon dates, accrued interest and the market’s day-count convention must be handled separately. A simple regular-period PV expression alone does not determine a settlement-date clean price.
19Knowledge check and common errors
Q1 · Does “fixed income” mean every payment is fixed?
No. Floating coupons, inflation indexation, calls, prepayments and default can change amounts or timing.
Q2 · What is the year-5 receipt on the running fixed bullet example?
₹1,080: ₹80 coupon plus ₹1,000 principal.
Q3 · Why does a zero have no coupon reinvestment risk before maturity?
It pays no interim coupons. It still has market-price, credit and inflation risk, and reinvestment risk after redemption.
Q4 · What is a quarterly coupon at a 6% benchmark plus 150 bps on ₹1,000, using 90/360?
₹18.75 = 1,000 × 0.075 × 0.25.
Q5 · Who holds a call, and who holds a put?
The issuer holds the call; the investor holds the put, according to the contract.
Q6 · Is a ₹280 amortising receipt all income?
No. In our year-1 example, ₹80 is interest and ₹200 is returned principal.
Q7 · Is a bond with a first call in five years guaranteed to repay then?
No. A call is an option, not a scheduled maturity repayment.
Q8 · Can a green bond be subordinated and floating-rate?
Yes. Use of proceeds, legal ranking and coupon structure are separate classifications.
Q9 · At ₹60 a share, what is the value of a 20-share conversion entitlement?
₹1,200, before considering other contractual features and costs.
Q10 · Why can a floating-rate bond fall in price?
Credit spreads may widen, liquidity may worsen, or caps and reset mechanics may limit the coupon response.
Common errors: equating coupon with return; treating principal repayments as income; assuming collateral guarantees full recovery; using a call date as maturity; and interpreting a credit rating as a promise.
20Key takeaways and further reading
Start with the contract, draw the timeline, identify who can change it, then decide which risks affect each cash flow. A bond’s issuer, coupon, principal schedule, seniority, options and currency jointly determine its behaviour.
A complete comparison needs more than yield: examine cash-flow certainty, credit, liquidity, inflation, currency, reinvestment and embedded options. Use the laboratory to understand structures, then apply the actual terms to any real security.
- Investor.gov: Bonds — FAQs
- TreasuryDirect: Marketable securities
- RBI: Government securities market primer
Continue learning: Spot rates vs forward rates · Duration and convexity · All fixed income topics.
Educational study guide · The Mountain Path Academy · Illustrative calculations, not investment recommendations.
Teaching-note reference
Adapted from 01. Deep_Dive_into_Bonds_workbook.xlsx: Bond_Taxonomy_Overview; Cash_Flow_Structures; Yield_Pricing_Analytics; and Credit_Rating_Spread_Matrix. The numerical cases above are independently recalculated from the stated assumptions. Market-size figures, spread tables and recovery statistics without dated sources are not presented as current market facts.
For interest-rate conventions, see TreasuryDirect: Understanding Pricing and Interest Rates.