Where the Bond and the Shares Are Worth the Same

Conversion parity is the point at which a convertible bond is worth exactly the same as the shares it can be exchanged for. To calculate it, first find the conversion ratio by dividing the bond’s par value by the conversion price, then multiply the stock price by that ratio to get the bond’s parity price, or divide the bond’s price by the ratio to get the stock’s parity price.

For example, a $1,000 bond convertible at $40 per share has a conversion ratio of 25 shares. If the stock trades at $44, the shares are worth 25 times $44, or $1,100, so the bond’s parity price is $1,100.

Parity tells an investor whether converting would make money, whether the bond is trading at a premium to its shares, and how closely the bond will follow the stock. For the full route from the exam to a career applying these calculations, our complete guide to how to become an investment adviser representative covers every step.

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What a Convertible Bond Is

A convertible bond is a corporate bond that the holder can exchange for a fixed number of the issuer’s common shares. It pays interest like a normal bond, but it also gives the holder the chance to share in a rise in the stock price.

Because the conversion feature has value, convertibles usually pay a lower coupon than the same company’s ordinary bonds. Investors accept less income in return for the upside of the shares.

Convertible preferred stock works in the same way, with a fixed number of common shares for each preferred share. The Series 65 Exam Preparation course at FRC covers both, along with the parity calculations the exam expects you to perform quickly.

The Conversion Ratio and Conversion Price

The conversion ratio is the number of shares received for each bond. The conversion price is the price per share at which the bond converts, and the two are linked by the bond’s par value.

Conversion ratio equals par value divided by conversion price, and conversion price equals par value divided by conversion ratio. A $1,000 bond with a conversion price of $50 converts into 20 shares, while one with a conversion ratio of 40 has a conversion price of $25.

The conversion price is normally set well above the stock price when the bond is issued, often 20 to 40 percent higher. The stock has to rise significantly before converting becomes attractive.

The Key Convertible Formulas

Worked Example: When Converting Makes Money

A $1,000 convertible bond has a conversion price of $40, so it converts into 25 shares. The bond trades at $1,050 and the stock trades at $44.

Step one: the parity price of the stock is the bond’s price divided by the ratio, $1,050 divided by 25, or $42. Step two: the stock actually trades at $44, above its parity price, so the shares are worth more than the bond.

Step three: converting one bond produces 25 shares worth $1,100, compared with a bond price of $1,050, a $50 difference. In efficient markets that gap would be closed quickly by arbitrage traders, who buy the bond, convert and sell the shares.

Worked Example: Trading at a Premium

The same bond now trades at $1,200 and the stock at $45. Step one: the conversion value is 25 times $45, or $1,125.

Step two: the bond trades $75 above its conversion value, a conversion premium of $75 divided by $1,125, or about 6.7 percent. Step three: the parity price of the stock is $1,200 divided by 25, or $48, so the stock would need to rise from $45 to $48 before converting matched the bond’s price.

A holder would not convert here, because selling the bond for $1,200 brings more than converting into $1,125 of shares. Most convertibles trade at a premium to their conversion value, because the bond also pays interest and offers protection if the stock falls.

Study Fixed Income and Equity Hybrids With FRC

Convertible questions on the exam usually ask for the conversion ratio, the parity price or whether conversion makes sense, and they reward a clear sequence of steps. Our Series 65 course teaches those steps alongside the bond and equity concepts behind them.

Consider studying with FRC for every exam on your route. Explore our USA exam courses, from the SIE through the Series 7, Series 63 and Series 65.

To take advantage of the membership, explore FRC Professional Membership, which gives you a verified Digital Profile that shows employers your real-time course progress, together with the Video Resume. Current offers are on our membership deals page.

The Bond Floor and Investment Value

A convertible’s investment value, often called its bond floor, is what it would be worth as an ordinary bond with no conversion feature. It is found by discounting the bond’s coupons and principal at the yield the company’s ordinary bonds offer.

The bond floor gives convertibles their downside protection. If the stock collapses, the convertible should not fall much below its investment value, as long as the company’s credit remains sound.

Worked example: a convertible with a conversion value of $700, after a fall in the stock, has an investment value of $900. Step one: the bond’s price should stay close to $900 rather than following the shares down to $700. Step two: if the company’s credit then weakens, the bond floor itself falls, as explained in our article on what happens when a bond is downgraded.

How a Convertible Behaves as the Stock Moves

When the stock price is far below the conversion price, the convertible behaves mostly like a bond. Its price depends on interest rates and the issuer’s credit quality, and the conversion feature adds only a little value.

When the stock price is far above the conversion price, the convertible behaves mostly like the stock. Its price moves almost one for one with the conversion value, and the premium shrinks toward zero.

In between, the convertible behaves like a mix of the two, rising when the stock rises but falling less when it falls. This balance of upside and protection is why convertibles appeal to investors who want some equity exposure with less risk than owning the shares outright.

Forced Conversion Through a Call

Most convertibles are callable, which gives the issuer a way to force conversion. When the conversion value is well above the call price, the issuer calls the bonds, and holders convert because the shares are worth more than the cash they would receive.

Worked example: a convertible with a conversion ratio of 25 can be called at $1,040, and the stock trades at $52. Step one: the conversion value is 25 times $52, or $1,300. Step two: a holder who accepts the call receives $1,040, while one who converts receives shares worth $1,300, so every rational holder converts.

Issuers force conversion to stop paying interest and to replace debt with equity. Our comparison of callable vs non-callable bonds explains how call features work more generally.

Anti-Dilution Protection

Convertible bonds include anti-dilution clauses that adjust the conversion ratio when the company changes its share count. Without them, a stock split would halve the value of the conversion feature overnight.

Worked example: a bond converts into 25 shares at $40. Step one: after a 2-for-1 stock split, the conversion ratio doubles to 50 shares. Step two: the conversion price halves to $20, so the conversion value is unchanged.

Similar adjustments apply for stock dividends and, in many cases, for large special dividends. Ordinary cash dividends usually do not trigger an adjustment.

Convertible Preferred Stock Calculations

The same formulas work for convertible preferred stock, using the preferred share’s par value instead of $1,000. Preferred shares commonly have a par value of $25, $50 or $100.

Worked example: a $100 par convertible preferred share converts into 4 common shares, so its conversion price is $25. Step one: with the common stock at $28, the conversion value is 4 times $28, or $112. Step two: if the preferred trades at $110, the parity price of the common stock is $110 divided by 4, or $27.50, which is below the $28 market price, so converting would be worthwhile.

As with bonds, the exam may give the conversion price and ask for the ratio, or give the ratio and ask for the parity price. Starting from par value keeps every calculation consistent.

Why Convertibles Pay Lower Coupons

Investors pay for the conversion feature by accepting less income. A company whose ordinary bonds yield 6 percent might issue convertibles with a 3.5 percent coupon.

Worked example: on a $1,000 bond, the 2.5 percentage point difference saves the issuer $25 a year. Step one: on a $500 million issue, that is $12.5 million a year in lower interest. Step two: in return, the issuer may eventually issue shares to bondholders if the stock rises above the conversion price.

For investors, the lower coupon is the cost of the upside. If the stock never rises enough to make conversion attractive, the investor ends up with a lower-yielding bond than they could have bought elsewhere.

Who Buys Convertibles

Convertibles appeal to investors who want equity participation with some protection. Balanced funds, dedicated convertible bond funds and income investors who can accept a lower yield are common buyers.

Hedge funds also play a large role through convertible arbitrage, buying convertibles and selling the underlying shares short to profit from mispricing between the two. Their trading helps keep convertible prices close to fair value relative to the stock.

For individual clients, convertible bond funds offer diversification across many issuers, which matters because many convertible issuers are smaller or lower-rated companies.

Tax and Dilution Considerations

Converting a bond into the issuer’s own shares is generally not a taxable event. The investor’s cost basis in the bond carries over to the shares received, and the holding period continues, as explained in our article on what cost basis is.

For existing shareholders, conversion increases the number of shares outstanding and can dilute earnings per share. Companies report diluted earnings per share, which assumes convertibles are converted, so investors can see the potential effect.

For the issuer, convertibles offer cheaper borrowing than ordinary bonds and the chance to issue shares at a higher price than today’s. The trade-off is potential dilution if the stock performs well.

The Memory Aid

Remember “par over price gives the ratio”: the conversion ratio equals par value divided by the conversion price.

For parity, remember “stock times ratio for the bond, bond over ratio for the stock”.

For the decision, remember “convert when the shares beat the bond”: conversion makes sense only when the conversion value exceeds what the bond can be sold for.

Exam Traps to Avoid

The first trap is dividing the wrong way. The conversion ratio is par divided by the conversion price, not the market price of the stock.

The second trap is assuming a holder should convert as soon as the stock passes the conversion price. If the bond trades at a premium to its conversion value, selling the bond brings more money.

The third trap is forgetting anti-dilution adjustments after a split or stock dividend. The ratio rises and the conversion price falls, leaving the conversion value unchanged. The fourth trap is treating conversion as a taxable sale; it is generally not taxable, and the basis carries over.

A Client Scenario

A client holds $50,000 of a company’s convertible bonds, each with a $1,000 par value and a conversion price of $25. The stock has risen to $31 and the bonds trade at $1,260, and the client asks whether she should convert.

The adviser calculates the conversion ratio as 40 shares and the conversion value as 40 times $31, or $1,240 per bond. Because the bonds trade at $1,260, $20 above their conversion value, converting now would give up value and the interest the bonds still pay.

The adviser explains that the issuer may call the bonds to force conversion if the stock keeps rising, and that holding the convertibles keeps some downside protection if it falls. The client decides to hold, and the adviser documents the calculations and how the decision fits her income needs and risk tolerance.

The Dictionary as a Video Library

The FRC dictionary is a study tool, not just a glossary. Every entry pairs a written explanation with deep-dive video, on-page quizzes and interactive flash cards, so you can read a concept, watch it explained and test yourself in one place.

Rules are covered in the same depth: open a rule and you will find the full explanation alongside video walk-throughs of how it applies in practice. Open the convertible bond entry to see the conversion calculations worked through on video and test yourself with the quizzes.

Practice Questions to Test Yourself

Question one: A $1,000 bond is convertible at $50 per share. What is the conversion ratio? 20 shares.

Question two: The same bond trades at $1,150. What is the parity price of the stock? $57.50, because $1,150 divided by 20 is $57.50.

Question three: A bond with a conversion ratio of 30 trades at $1,020, and the stock trades at $36. Should the holder convert? Yes, because the shares are worth 30 times $36, or $1,080, more than the bond’s $1,020 price.

Question four: A bond converts into 40 shares, and the company declares a 3-for-2 stock split. What is the new conversion ratio? 60 shares.

Question five: Is converting a bond into the issuer’s common stock generally a taxable event? No, and the bond’s cost basis carries over to the shares.

Turn Analytical Skill Into Career Evidence

Hybrid securities test an adviser’s understanding of both bonds and stocks, and clients value an adviser who can show them the numbers. FRC’s Digital Profile shows employers the courses you are actively studying and the progress you have earned through assessed learning, verified by FRC, and a QR code on your resume takes them straight to it.

The FRC Video Resume lets a hiring manager hear you before the interview. Walking through a convertible parity calculation clearly shows the technical confidence that investment roles demand.

Related Questions

The conversion feature is effectively a call option on the company’s shares, and our comparison of call option vs put option explains how that option gains value as the stock rises.

Key Points to Retain

The conversion ratio equals par value divided by the conversion price, and the conversion value, or parity price of the bond, equals the stock price times the conversion ratio. The parity price of the stock equals the bond’s price divided by the conversion ratio, and conversion makes sense only when the conversion value exceeds the bond’s market price.

Convertibles usually trade at a premium to their conversion value, behave like bonds when the stock is low and like stock when it is high, and are protected by a bond floor. Issuers can force conversion by calling the bonds, anti-dilution clauses adjust the ratio after splits, and conversion is generally not a taxable event.

For the role the exam leads to, read our guide to what an investment advisor representative is.