Conversion Right

An embedded conversion right is an embedded derivative that gives either the bondholder (investor) or, less commonly, the issuer, the right to convert a bond into a predetermined number of the issuer’s equity instruments under specified conditions.

The conversion right is contractually embedded in the bond and cannot be traded separately from the host debt instrument. Economically, it introduces an equity-linked payoff into an otherwise debt-based financial instrument, altering both risk and return profiles for issuer and investor.

How Embedded Conversion Rights Work

A conversion right allows the bond to be exchanged for equity based on predefined contractual terms, including:

• Conversion ratio or conversion price
• Conversion periods or trigger events
• Settlement mechanics (physical share delivery or cash settlement)

If the conversion right is exercised:

• The bond is extinguished (in full or in part), and
• Equity instruments of the issuer are delivered instead of cash repayment

The economic value of the conversion right increases with the issuer’s share price and equity volatility.

Investor vs. Issuer Conversion Rights

Investor Conversion Rights (Convertible Bonds)

In most cases, the investor holds the conversion right. These instruments are commonly referred to as convertible bonds.

Key characteristics:

• Investor benefits from upside in the issuer’s equity price
• Downside protection through bond-like features (coupon and principal)
• Conversion typically becomes attractive when the share price exceeds the effective conversion price

From an economic perspective, an investor conversion right resembles a call option on the issuer’s equity embedded within the bond.

Issuer Conversion Rights (Mandatory or Forced Conversion)

In some structures, the issuer holds the conversion right, allowing it to force conversion under predefined conditions (e.g. upon reaching a share price threshold or at maturity).

Key characteristics:

• Issuer can strengthen equity capital structure
• Reduction of refinancing or repayment risk
• Investor bears equity price risk at conversion

Issuer-held conversion rights are less common but can have significant accounting and valuation implications.

Numerical Example: How a Conversion Right Works

Assume a company issues a convertible bond with the following terms:

• Notional (face value): €1,000
• Maturity: 5 years
• Coupon: 3% p.a.
• Conversion ratio: 20 shares per bond
• Implied conversion price: €1,000 / 20 = €50 per share
  
  

At any time during the conversion period, the investor may choose between:

• Keeping the bond (continue receiving coupons and redemption at maturity), or
• Converting into 20 shares of the issuer.
  
  

Scenario A: Share price below conversion price

• Share price at decision date: €40
• Value received if converted: 20 × €40 = €800
  
  

In this case, conversion is typically unattractive because the investor would receive equity worth less than the bond’s notional (and would give up remaining coupons). The bondholder will usually not convert.

Scenario B: Share price above conversion price

• Share price at decision date: €70
• Value received if converted: 20 × €70 = €1,400
  
  

Here, the investor can exchange a €1,000 bond for equity worth €1,400, so the conversion right is in the money. The investor will typically convert to realize the equity upside (subject to any contractual conditions).

Key takeaway

The conversion right behaves economically like a call option on the issuer’s equity:

• If the share price is below the conversion price → the option is out of the money and often not exercised
• If the share price is above the conversion price → the option is in the money and likely exercised