Enter Values

$
Current trading price (Face = $1,000)
shares
Shares received per $1,000 bond
$
Current price of underlying stock
%
Annual coupon as % of face value
years
Time until maturity
%
YTM of comparable non-convertible bond
Key Formulas
CV = Ratio × Stock Price
Premium = (Market - CV) / CV
IV = PV(Coupons) + PV(Face)
CV = Conversion Value (Parity)
IV = Investment Value (Bond Floor)
Model Assumptions
  • Face value fixed at $1,000 (market convention)
  • Annual coupon payment frequency
  • Valuation on coupon payment date
  • No call provisions or forced conversion
  • No accrued interest adjustment

Conversion Analysis

Conversion Value (Parity) $900.00
Conversion Premium ($) +$150.00
Conversion Premium (%) +16.67%
Conversion Price $50.00
Market Conv. Price $52.50
Market Price Breakdown
CV: $900
+$150
Conversion Value
Premium

Bond Floor Analysis

Investment Value $873.63
Premium over IV +20.19%

Investment value is the bond floor: what the convertible would be worth as a straight bond without the conversion feature. It provides downside protection.

Calculation Steps

Understanding Convertible Bonds

What is a Convertible Bond?

A convertible bond is a hybrid security that combines features of both debt and equity. It pays regular coupon payments like a traditional bond, but also gives the holder the right to convert the bond into a predetermined number of shares of the issuing company's common stock.

Key Convertible Bond Metrics

Conversion Value (Parity)

The conversion value, also called parity, represents what the bond would be worth if converted into stock immediately. It equals the conversion ratio multiplied by the current stock price. When the market price equals the conversion value, the bond is said to be "at parity."

Conversion Premium

The conversion premium is the percentage by which the bond's market price exceeds its conversion value. Investors pay this premium for:

  • Downside protection: The bond floor limits losses if the stock declines
  • Income advantage: Coupon payments typically exceed dividend income
  • Optionality: The embedded call option on the stock has value

Investment Value (Bond Floor)

The investment value is the present value of the convertible's cash flows (coupons and principal) discounted at the yield of a comparable straight bond. This represents the minimum theoretical value of the convertible, providing downside protection even if the stock price falls significantly. As the stock declines, the convertible's behavior becomes more "bond-like" and approaches the investment value.

Market Conversion Price

The market conversion price is the effective price per share you would pay by buying the convertible at market price and converting to stock. It equals the bond's market price divided by the conversion ratio. The difference between this and the current stock price represents the premium per share.

Convertible Bond Value Drivers

A convertible bond's value depends on several factors:

  • Stock price: Higher stock prices increase conversion value
  • Stock volatility: Higher volatility increases option value
  • Interest rates: Lower rates increase investment value
  • Credit spreads: Tighter spreads increase investment value
  • Time to maturity: Longer maturity increases time value

Frequently Asked Questions

A convertible bond is a fixed-income security that gives the holder the right to convert the bond into a predetermined number of shares of the issuing company's common stock. This hybrid instrument combines features of both debt and equity, offering downside protection through the bond floor while providing upside potential through equity conversion.

Conversion value, also called parity, is what the convertible bond would be worth if converted into stock immediately. It equals the conversion ratio multiplied by the current stock price. For example, if a bond converts into 20 shares and the stock trades at $45, the conversion value is $900.

The conversion premium is the amount by which the convertible bond's market price exceeds its conversion value. It represents the extra price investors pay for the bond's optionality and downside protection. A conversion premium of 20% means the bond trades 20% above what you would receive by converting to stock today.

The investment value, or bond floor, is the present value of the convertible bond's cash flows (coupons and principal) discounted at the yield of a comparable non-convertible bond from the same issuer. This represents the minimum theoretical value of the convertible, providing downside protection even if the stock price falls significantly.

The market conversion price is the effective price per share you would pay if you bought the convertible bond at market price and immediately converted it to stock. It equals the bond's market price divided by the conversion ratio. Comparing this to the current stock price shows the premium you're paying for the conversion option.

You should generally convert a convertible bond when it trades at or below parity (conversion value exceeds market price) and when the stock's dividend income would exceed the bond's coupon income. However, early conversion forfeits time value, so most investors hold until maturity or a forced conversion event unless the bond trades below parity near maturity.
Disclaimer

This calculator is for educational purposes only and does not constitute financial advice. Actual convertible bond valuations depend on many factors not captured here, including call provisions, credit risk changes, stock volatility, and market liquidity. Consult a qualified financial professional before making investment decisions.