An Example

To help clarify some of these concepts, we present a hypothetical example in the table below and graphically in Figure 2-6. Assume that a new issue convertible has come to market. It has a 5 percent coupon and 10 years to maturity. The issuing company has other 10 year debt that carries an 8 percent yield, and the company's stock is currently trading at $42.

XYZ Company  
Convertible Bond  
 Coupon 5%
 Maturity 10 years
Straight bond yield to maturity 8%
Conversion price $50/share
Current stock price $42/share
Conversion ratio 20 shares per bond

Figure 2-6
Hypothetical Convertible Bond

The bond indenture specifies a conversion price of $50. Since we know that the conversion price is the effective price for conversion into stock with the bond at par, we divide the par value of the bond ($1,000) by $50, resulting in a conversion ratio of 20 shares. To calculate the current conversion value, we know that the stock price is currently $42. Multiplying $42 by 20 shares, we get a current conversion value of $840. If the issue is sold at par, then the conversion premium would be 19 percent ([$1,000 - 840]/840). The investment value of the convertible at issuance would be the security with the 5 percent coupon discounted at a yield to maturity of 8 percent. The result, according to standard bond calculations, is 79.87, or a dollar value of $798.70. The investment premium would be 25.20 percent ([$1,000 - 798]/798).

The Ideal Convertible Bond

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