What Is a Bond Floor?

A bond floor refers to the minimum value that a specific bond, usually a convertible bond, should trade for. The level of the floor is derived from the discounted present value of a bond's coupons, plus its 澳洲幸运5官方开奖结果体彩网:conversion value.

A bond floor may also be used in 澳洲幸运5官方开奖结果体彩网:constant proportion po🐽rtfoli✤o insurance (CPPI) calculations. When using CPPI calculations, an investor sets a floor on the dollar value of their portfolio and then structures asset alloca�ဣ�tion around that decision.

Understanding the Bond Floor

The bond floor is the lowest value that convertible bonds can fall to, given the 澳洲幸运5官方开奖结果体彩网:present value (PV) of the remaining future cash flows and 澳洲幸运5官方开奖结果体彩网:principal repayment. The term can also refer to the aspect of 澳洲𒅌幸运5官方开奖结果体彩网:constant proportion portfolio insur🏅ance (CPPI) that ensures that the value of a given portfolio doe🔯s not fall below a predefined level.

Convertible bonds give investors the potential to profit from any appreciation in the price of the issuing company's stock (if they are converted). This added benefit to investors makes a convertible bond more valuable than a 澳洲幸运5官方开奖结果体彩网:straight bond. In effect, a convertible bond is a straight bond plus an 澳洲幸运5官方开奖结果体彩网:embedded call option. The market price of a convertible bond is made up of the straight bond value and the 澳洲幸运5官方开奖结果体彩网:conversion value. (The conversion value is the market value of the underlying equity into which a convertible🧸 security may be exchanged.)

Special Considerations

When stock prices are high, the price of the convertible is determined by the conversion value. However, when stock prices are low, the convertible bond will trade like a straight bond—given that the straight bond value is the minimum level a convertible bond can trade at and the conversion option is nearly irrelevant when stock prices are low. The straight bond value is, thu𝓀s, the floor of a convertible bond.

Investors are protected from a downward move in the stock price because the value of the convertible bond will not fall below the🦩 value of the traditional ▨or straight bond component. In other words, the bond floor is the value at which the convertible option becomes worthless because the underlying stock price has fallen substantially below the conversion value.

Calculating the Bond Floor for a ✃Convertible Bond

 $\begin{aligned} &\text{Bond Floor} = \sum_{t = 1} ^ {n} \frac{ \text{C} }{ ( 1 + r ) ^ t} + \frac{ \text{P} }{ (1 + r) ^ n }\\ &\textbf{where:} \\ &\text{C} = \text{coupon rate of convertible bond} \\ &\text{P} = \text{par value of convertible bond} \\ &r = \text{rate on straight bond} \\ &n = \text{number of years until maturity} \\ \end{aligned}$​Bond Floor=t=1∑n​(1+r)tC​+(1+r)nP​where:C=coupon&ܫnbsp;rate of convertible bondP=par value of convertible bondr=rate on straight bondn=number of&nb💝sp;years until maturity​

澳洲幸运5官方开奖结果体彩网: Or:

 $\begin{aligned} &\text{Bond Floor} = \text{PV}_{\text{coupon} } + \text{PV}_\text{par value} \\ &\textbf{where:} \\ &\text{PV} = \text{present value} \\ \end{aligned}$​Bond Floor=PVcoupon​+PVpar value​where:PV=present value​

Example of a Bond Floor

For example, assume a convertible bond with a $1,000 par value has a 澳洲幸运5官方开奖结果体彩网:coupon rate of 3.5% (to be paid annually). The bond matures in 10 years. Consider there is also a comparable straight bond, ﷽with the same face value, credit rating, interest payment schedule, and maturity date of the convertible bond,🧔 but with a coupon rate of 5%.

To find t🍨he bond floor, one must calculate the present value (PV) of thꦇe coupon and principal payments discounted at the straight bond interest rate.

 $\begin{aligned} \text{PV}_\text{factor} &= 1 - \frac{ 1 }{ (1 + r) ^ n } \\ &= 1 - \frac{ 1 }{ 1.05^ {10} } \\ &= 0.3861 \\ \end{aligned}$PVfactor​​=1−(1+r)n1​=1−1.05101​=0.3861​

 $\begin{aligned} \text{PV}_\text{coupon} &= \frac {.035 \times \$1,000 }{ 0.05 } \times \text{PV}_\text{factor} \\ &= \$700 \times 0.3861 \\ &= \$270.27 \\ \end{aligned}$PVcoupon​​=0.05.035×$1,000​×PVfactor​=$700×0.3861=$270.27​

 $\begin{aligned} \text{PV}_\text{par value} &= \frac {\$1,000 }{ 1.05 ^ {10} } \\ &= \$613.91 \\ \end{aligned}$PVpar value​​=1.0510$1,000​=$613.91​

 $\begin{aligned} \text{Bond Floor} &= \text{PV}_{\text{coupon} } + \text{PV}_\text{par value} \\ &= \$613.91 + \$270.27 \\ &= \$884.18 \\ \end{aligned}$Bond Floor​=PVcoupon​+PVpar value​=$613.91+$270.27=$884.18​

So, even if the company's stock price falls, the convertible bond should trade for a minimum of $884.18. Like the value of a regular, non-convertible bond, a convertible bond's floor value fluctuates with market interest rates and various other factors.

Bo🤡nd Floors and Constant Proportion Portfolio Insurance (CPPI)

Constant Proportion Portfolio Insurance (CPPI) is a mixed portfolio allocation of risky and non-risky assets, which varies depending on market conditions. An embedde🌺d bond feature♓ ensures that the portfolio does not fall below a certain level, thus acting as a bond floor. The bond floor is the value below which the value of the CPPI portfolio should never fall (in order to ensure the payment of all future due interest and principal payments).

By carrying insurance on the portfolio (through this embedded bond feature), the risk of experiencing more than a certain amount of loss at any given time is kept to a minimum. At the same time, the floor does no𝄹t inhibit the g🌱rowth potential of the portfolio, effectively providing the investor with a lot to gain—and only a little to lose.