Convertible Bonds Explained: Why a Company Borrows at a 2% Coupon by Selling Bondholders an Equity Call Option — the Conversion Premium Set 30% Above Today’s Share Price, the Bond Floor That Makes It Debt Below Conversion and Equity Above It, the Arbitrage Funds That Actually Set the Price, and the Capped Call That Buys the Dilution Back
Michael King, PE Investment Manager · 10 min read ·
- A convertible bond is a bond bundled with an embedded equity call option: it pays a coupon and returns par like ordinary debt, but the holder can instead convert it into a fixed number of the issuer’s shares. The issuer borrows at a coupon well below straight debt — a growth name might pay ~2% on a convert against ~7–8% it would owe on a high-yield bond — and the bondholder accepts that lower coupon in return for the equity upside. The coupon saving is the price of the option the issuer has sold, not a free lunch.
- The option strikes at the conversion price, set at issue at a premium — commonly 25–35% — above the current share price. If the shares rise through it and stay there, holders convert and the issuer has, in effect, sold equity at a 30% premium to where it was trading; if the shares languish, the bond redeems at par and no shares are ever issued. The convert is deferred equity priced above today, or cheap debt — the outcome decides which.
- A convert is valued as two pieces stacked together: the bond floor (its worth as straight debt — the present value of the coupons and principal at the issuer’s ordinary borrowing yield) and the equity option on top. Below the conversion price it trades toward the floor and behaves like credit; near and above it, its price tracks the shares with a delta heading toward 1 and it behaves like equity. That dual personality is the whole instrument.
- The buyer base is not income investors — it is dominated by convertible-arbitrage hedge funds, historically the majority of demand, who buy the bond, short the underlying shares to hedge the option’s delta, and profit from the equity’s volatility rather than its direction. Their bid is what prices the embedded option, which is why the issuer is really selling volatility to hedge funds. Sophisticated issuers then buy a capped call from a bank to lift the effective conversion price and blunt the dilution — the reason a record $167bn of converts printed in 2025.
The Instrument That Is Debt and Equity at the Same Time
A convertible bond is a bond that the holder can exchange for a fixed number of the issuer’s shares. Until that happens it is ordinary debt: it pays a coupon, ranks as a creditor, and repays par at maturity. But stapled to it is a right the holder does not get on a normal bond — to convert the loan into equity at a pre-agreed price. That single right changes everything about how the instrument is priced, who buys it, and why a company issues it. It is the reason a convert sits in its own category between the debt and equity a student is taught to treat as opposites.
The mechanism that makes it worth understanding is the trade at its centre. The issuer borrows at a coupon far below what straight debt would cost, and in exchange hands the bondholder an equity call option — the right to profit if the shares rise. The bondholder pays for that option not with cash but by accepting the lower coupon. Grasping that the cheap coupon is the option premium, paid in instalments, is the entire point: a convert is not cheap financing, it is financing where part of the cost has been moved from the coupon line to the share register. Everything else follows from that swap.
The Conversion Price: an Equity Sale Struck 30% Above Where the Shares Trade Today
The option inside a convert strikes at the conversion price — the share price at which a bondholder can turn the loan into stock. It is set at issue at a premium above the current share price, commonly in the region of 25–35%. A company whose shares trade at £40 might issue a five-year convertible with a conversion price of £52, a 30% premium. The conversion ratio falls straight out of it: a £1,000 bond converting at £52 buys roughly 19.2 shares (£1,000 ÷ £52). Set the premium and you have set the strike, the ratio, and the number of shares that can ever be created.
The premium is what makes a convert attractive to the issuer as equity. If the shares climb through £52 and hold there, bondholders convert, and the company has in effect sold new shares at £52 — a 30% premium to the £40 they were worth on the day it raised the money. It has raised equity at a price the market would not have paid in a straight placing today. If the shares never reach £52, no one converts, the bond simply redeems at par, and the company has borrowed at a 2% coupon and issued no stock at all. The conversion premium is the hinge on which the whole instrument turns.
Why the Coupon Is Cheap: You Sold an Option, You Did Not Get a Discount
The headline attraction of a convert is the coupon. A business that would pay 7–8% on a straight high-yield bond can often issue a convertible at 1–3%, sometimes lower. The five or six points of saving look like free money, and treating them that way is the single most common misreading of the instrument. The saving is not a gift from the bond market — it is the value of the call option the bondholder received, expressed as a coupon reduction instead of an upfront cheque.
Put concretely: on a £500m convert, a coupon of 2% against a straight-debt cost of ~7.5% saves roughly £27m of cash interest a year, close to £135m over a five-year life. That saved interest is exactly what the bondholder is paying for the equity upside; the company has funded the option premium out of its own coupon line. The catch is that the option can land in the money — the shares rise, the bonds convert, and the company issues stock it would rather have kept. The convert is cheap only in the outcome where its shares underperform. When they perform, the “cheap” coupon is revealed as the down payment on a block of equity sold too early.
The Bond Floor and the Delta: How a Convert Behaves Depending on the Share Price
Because a convert is two instruments in one, its value is built from two pieces. The first is the bond floor (or investment value): what the bond is worth as straight debt alone, ignoring conversion — the present value of its coupons and principal discounted at the issuer’s ordinary borrowing yield. On a 2% convert from an issuer whose straight-debt yield is 7.5%, that floor sits well below par, perhaps in the high 70s to low 80s per 100 of face, because the market discounts a below-market coupon back to a market yield. The second piece is the equity option stacked on top, whose value depends on how close the shares are to the conversion price and how volatile they are.
The interplay of the two gives the convert its shifting personality. Far below the conversion price the option is nearly worthless, so the bond trades toward its floor and behaves like credit — its price moves with interest rates and the issuer’s default risk, not the shares. Near and above the conversion price the option dominates, the delta — the sensitivity of the convert’s price to the shares — climbs toward 1, and the bond tracks the equity almost one-for-one. In between sits the “balanced” convert that everyone actually wants to model: enough equity sensitivity to rise with the shares, enough bond floor to cushion a fall. That asymmetry — participate in the upside, protected on the downside by the floor — is the convert’s defining feature and the reason a whole investor class exists to exploit it.
Why Companies Actually Issue Convertibles
The coupon saving is the headline reason, but it is not the only one, and a candidate who names all of them understands the instrument as a financing tool rather than a curiosity. The clearest motive after the low coupon is selling equity at a premium to today: an issuer that believes its shares are worth more than the market currently pays can, through the conversion price, raise equity at a 30% premium — better than any straight placing, which would price at or below the current price. The convert lets it monetise its own optimism without having to be proven right immediately.
Beyond price, converts open a door for issuers who cannot easily use the alternatives. A young, fast-growing, or unrated company — think a software business with real revenue but thin cash flow and no investment-grade rating — may find the straight high-yield market punishing or shut, while a straight equity raise would dilute heavily at a depressed price. The convert threads between them: cheaper than the bond it cannot afford, and less immediately dilutive than the equity it does not want to sell. It also raises capital fast and with lighter covenants than a leveraged loan, and defers the dilution to a later, higher price — or to never.
The Catch: Dilution, and the Capped Call That Buys It Back
Every reason to issue a convert carries the same shadow: if it works — if the shares rise — the issuer ends up creating stock and diluting existing shareholders. This is where the accounting bites. Under the if-converted method used for diluted earnings per share, a convertible that is dilutive is treated as if it had already converted: the after-tax interest is added back to earnings and the potential conversion shares are added to the share count. The reported diluted EPS therefore already reflects the dilution the convert threatens, long before a single bond is actually exchanged, which is exactly the interaction an interviewer probes when they connect converts to an accretion / dilution question.
Sophisticated issuers do not simply accept the dilution — they buy it back. Alongside the convert, an issuer can purchase a capped call (or a “call spread overlay”) from the same banks: a set of equity options that, in economic terms, raises the effective conversion price the company faces, so that dilution only starts at a much higher share price than the convert’s own conversion price. A business that issues a convert struck 30% above its shares might use a capped call to push the economic conversion point to 75–100% above — the shares would have to nearly double before existing holders feel any dilution. The overlay costs cash upfront, but for issuers who want the cheap coupon without the equity give-away, it is standard. It is also why reading a convert prospectus without reading the capped call misses half the structure.
Who Actually Buys Convertibles: the Arbitrage Bid That Sets the Price
The most counterintuitive fact about converts is that the marginal buyer is usually not an income investor betting on the shares. It is a convertible-arbitrage hedge fund — historically the majority of the buyer base — that does not care which way the shares go. The arb buys the convertible and simultaneously shorts the underlying stock in proportion to the bond’s delta, hedging out the direction of the shares. What it is left holding is a bet on volatility: as the shares move, the bond’s delta changes, and the fund rebalances its short — buying stock back as prices fall, selling more as they rise — harvesting the gap. It makes money from movement, not from the company’s prospects.
This matters to an issuer because it means the convert market prices the instrument on implied volatility, not on a view of the equity. The arbs buy converts when the embedded option looks cheap relative to the stock’s realised volatility, and their demand is what lets an issuer sell an option at all, and at what price. In practice the issuer is selling volatility on its own shares to hedge funds, packaged inside a bond. A candidate who can say that — that the convert bid is a volatility bid, that the buyer is delta-hedged and indifferent to the share price, and that this is why converts price off implied vol rather than a directional equity view — is describing the market as the people who run it see it, not as a textbook diagrams it.
Why the Convert Market Booms When Rates and Volatility Both Rise
Convertibles are a cyclical product, and 2025 was their record year — roughly $167bn issued globally, close to double 2024’s ~$86bn — for reasons that reveal what the instrument is for. The first driver is rates. When straight-debt coupons are high, the coupon saving a convert offers is worth more in absolute cash, so a company staring at a 7–8% cost on a new bond has a far stronger reason to accept dilution risk in exchange for a 2–3% convert coupon than it did when straight debt cost 4%. High-for-longer rates make the convert’s core trade more valuable, which is why issuance climbs into a tightening cycle rather than away from it.
The second driver is refinancing. A wave of converts printed at near-zero coupons in the 2020–21 boom is now approaching maturity, and issuers facing that wall are refinancing — often into new converts, because a fresh convert is still cheaper than the straight debt the alternative would require. More than 60% of 2024’s convert issuers raised the money to refinance existing debt, and the 2026–27 maturity wall of COVID-era paper is expected to keep issuance elevated. Volatility completes the picture: the more volatile an issuer’s shares, the more the embedded option is worth, so volatile growth names get the best convert terms precisely when a straight-debt investor would demand the widest spread. Rates make the coupon saving matter; volatility makes the option valuable; a maturity wall forces the trade. All three point the same way right now.
Where the Convert Sits Next to the Rest of the Capital Structure
A convert does not stand alone; it is one financing choice on a menu, and it is worth placing it next to the alternatives it competes with. Against straight debt — a leveraged loan or high-yield bond in the debt stack — the convert trades a lower coupon for potential dilution and, like those instruments, usually carries its own call features and, sometimes, an issuer’s right to force conversion once the shares clear a threshold. Against equity — a placing or a follow-on after an IPO — the convert defers and prices up the dilution rather than taking it immediately at the current share price. It is the hybrid precisely because it borrows features from both sides.
Set against the broader financing question, the convert is the tool an issuer reaches for when the straight answers are too expensive. When the debt-versus-equity decision is genuinely hard — debt is dear because rates or the credit are punishing, equity is dear because the shares are depressed and management thinks them cheap — the convert splits the difference: cheaper than the bond, less dilutive and better-priced than the stock. That is why its issuance spikes exactly when both straight markets are unattractive, and why understanding it is understanding the seam between a company’s debt and its equity, rather than either one alone.
The Verdict: a Convert Is a Bet on Your Own Volatility, Dressed as Cheap Debt
The honest description of a convertible bond is that it is a company selling an option on its own shares and taking payment as a coupon discount. In the outcome where the shares underperform, the option expires worthless and the issuer looks brilliant — it borrowed at 2% and issued no stock. In the outcome where the shares soar, the option lands in the money, the bonds convert, and the issuer has sold equity at a premium that, with hindsight, was too low. The convert is not cheap or expensive in the abstract; it is a trade whose cost is only known once the share price has done what it is going to do.
For a student, the discipline is to resist calling a convert “cheap debt” and stopping there. The candidate who stands out explains the swap at its heart: that the low coupon is the premium on a written call option, that the conversion price is an equity sale struck above today’s market, that the buyer is a volatility-trading hedge fund rather than an income investor, and that the dilution the whole structure risks is what a capped call exists to buy back. Knowing that a convert is priced on volatility and settled in hindsight is the tell that separates someone who has read about equity-linked finance from someone who has watched an issue price.
Careers: This Lives on the Equity-Linked Desk on Every Growth-Company Financing
For an analyst in an equity capital markets or equity-linked team, the convert is not trivia — it is a live product on every growth-company financing where straight debt is dear and straight equity is unwelcome. The desk models the structure: what coupon and premium the market will bear given the issuer’s volatility and credit, how the bond floor and delta behave, what the capped call costs, and how the whole package reads for diluted EPS. On the syndicate side, the same analyst gauges the arbitrage bid — whether the implied volatility the convert offers is cheap enough to clear the hedge-fund buyers who actually take the paper. Understanding the convert is understanding where a company’s debt and equity markets meet.
On the buy-side, a convertible-arbitrage fund reads the instrument from the other end: is the embedded option cheap relative to the stock’s realised volatility, what delta hedge does the position require, and how will the bond floor protect the downside if the credit wobbles? A candidate who can sit on either side of that — who can explain why an issuer wants to sell volatility high and an arb wants to buy it cheap, and how the conversion premium and capped call divide the spoils — is describing a negotiation that happens on every equity-linked deal, and demonstrating exactly the fluency the desks are hiring for.
Take Your Preparation Further
The convert only makes sense inside the wider financing picture, so read this next to Debt versus Equity Financing, which frames the choice the convert splits the difference on, and Accretion / Dilution Analysis, where the diluted-EPS mechanics the if-converted method drives are worked through in detail. For the straight-debt alternatives a convert is cheaper than, see the LBO Debt Stack and, for the call features converts share with bonds, Call Protection. For the equity raise a convert defers and prices up, work through How IPOs Work.
To value the two pieces of a convert yourself — the bond floor and the equity option on top — start from the discounting and multiples in our Valuation Cheat Sheet, and for the complete set of technical interview questions and model answers, including how to talk about equity-linked structures and dilution under pressure, see the IB Interview Bible.
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Frequently asked questions
Why do companies issue convertible bonds instead of straight debt or equity?
Because a convertible splits the difference between the two when both straight markets are unattractive. Against straight debt, a convert carries a much lower coupon — a growth company might pay 1–3% on a convert versus 7–8% on a straight high-yield bond — because the bondholder accepts the lower coupon in exchange for an embedded equity call option; the coupon saving is effectively the premium on that option. Against a straight equity raise, a convert defers the dilution and prices it up: the conversion price is set at a premium (commonly 25–35%) above the current share price, so if the bonds convert the company has sold equity above where it could place stock today, and if they do not convert it simply repays cheap debt with no dilution at all. Converts are especially useful for young, fast-growing, or unrated companies that would face punitive rates in the straight-debt market and heavy dilution in the equity market — the convert is often the cheapest capital available to them, and it can be raised quickly with lighter covenants than a leveraged loan.
What is the conversion price and conversion premium?
The conversion price is the share price at which a convertible bondholder can exchange the bond for shares — it is the strike of the embedded equity option. It is set at issue above the current share price, and the gap is the conversion premium, commonly around 25–35%. If a company’s shares trade at £40 and it issues a convert with a 30% premium, the conversion price is £52. The conversion ratio follows directly: a £1,000 bond converting at £52 buys roughly 19.2 shares (£1,000 ÷ £52). The premium is what makes a convert attractive to the issuer as deferred equity — if the shares rise through £52, conversion means the company has in effect sold new shares at £52, a premium to the £40 they were worth when the money was raised, better than any straight placing could have achieved at the time.
What is the bond floor of a convertible bond?
The bond floor (also called the investment value) is what a convertible would be worth as straight debt alone, ignoring the conversion right entirely — the present value of its coupons and principal discounted at the issuer’s ordinary borrowing yield. Because a convert pays a below-market coupon, its bond floor sits below par: a 2% convert from an issuer whose straight-debt yield is 7.5% might have a floor in the high 70s to low 80s per 100 of face value. The floor matters because it sets the downside. Far below the conversion price the equity option is nearly worthless, so the convert trades toward its floor and behaves like a bond — sensitive to interest rates and credit risk, not the share price. As the shares rise toward and above the conversion price, the equity option takes over and the bond’s price starts tracking the stock. The bond floor is what gives a convert its asymmetric, convex payoff: cushioned on the downside, participating on the upside.
Who buys convertible bonds and what is convertible arbitrage?
The dominant buyers of convertible bonds are not income investors betting on the shares but convertible-arbitrage hedge funds, historically the majority of the market’s demand. A convertible-arbitrage fund buys the convert and simultaneously shorts the underlying stock in proportion to the bond’s delta (its price sensitivity to the shares), hedging out the direction of the equity. What it is left with is a position in volatility: as the shares move, the bond’s delta changes and the fund rebalances its short — buying stock back as it falls, selling more as it rises — profiting from the movement rather than from where the shares end up. This is why the convert market prices instruments on implied volatility rather than on a directional view of the equity: the arbs buy when the embedded option looks cheap relative to the stock’s realised volatility. In effect, an issuer selling a convert is selling volatility on its own shares to hedge funds, wrapped inside a bond.
What is a capped call or call spread overlay on a convertible bond?
A capped call (or call spread overlay) is a package of equity options an issuer buys from the underwriting banks alongside a convertible bond, in order to reduce the dilution the convert would otherwise cause. Economically, it raises the effective conversion price the company faces above the convert’s own conversion price, so that existing shareholders only start to feel dilution at a much higher share price. A company that issues a convert struck 30% above its shares might use a capped call to push the economic conversion point to, say, 75–100% above the current price — the shares would have to rise a great deal, sometimes nearly double, before any dilution bites. The overlay costs cash upfront, which is why it is used mainly by issuers who want the low coupon of a convert without giving away equity cheaply if the shares perform. It is a standard feature on many technology and growth-company convertibles, and reading a convert without reading its capped call misses a large part of how the structure actually allocates the dilution.