## What is a 'Bullet Bond'

A bullet bond is a debt instrument whose entire principal value is paid all at once on the maturity date, as opposed to amortizing the bond over its lifetime. Bullet bonds cannot be redeemed early by an issuer, which means they are non-callable. Because of this, bullet bonds may pay a relatively low rate of interest due to the issuer's interest rate exposure.

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## BREAKING DOWN 'Bullet Bond'

Both corporations and governments issue bullet bonds in a variety of maturities, from short- to long-term. A portfolio made up of bullet bonds is generally referred to as a bullet portfolio. A bullet bond is considered riskier than an amortizing bond because it gives the issuer a large repayment obligation on a single date rather than a series of smaller repayment obligations spread over several dates. As a result, issuers who are relatively new to the market or who have less than excellent credit ratings may attract more investors with an amortizing bond than with a bullet bond. Typically, bullet bonds are more expensive for an investor to purchase compared to an equivalent callable bond, since the investor is protected against a bond call during a period of falling interest rates.

## Bullet Bond Pricing Example

Pricing a bullet bond is very straightforward. First, the total payments for each period must be calculated and then discounted to a present value using the following formula:

Present Value (PV) = Pmt / (1 + (r / 2)) ^ (p)

Where:

Pmt = total payment for period

r = bond yield

p = payment period

For example, imagine a bond with a par value of \$1,000. Its yield is 5%, its coupon rate is 3%, and the bond pays the coupon twice per year over a period of five years. Given this information, there are nine periods where a \$15 coupon payment is made, and one period (the last one) where a \$15 coupon payment is made and the \$1,000 principal is paid. Using the formula to discount these payments is:

Period 1: PV = \$15 / (1 + (5% / 2)) ^ (1) = \$14.63

Period 2: PV = \$15 / (1 + (5% / 2)) ^ (2) = \$14.28

Period 3: PV = \$15 / (1 + (5% / 2)) ^ (3) = \$13.93

Period 4: PV = \$15 / (1 + (5% / 2)) ^ (4) = \$13.59

Period 5: PV = \$15 / (1 + (5% / 2)) ^ (5) = \$13.26

Period 6: PV = \$15 / (1 + (5% / 2)) ^ (6) = \$12.93

Period 7: PV = \$15 / (1 + (5% / 2)) ^ (7) = \$12.62

Period 8: PV = \$15 / (1 + (5% / 2)) ^ (8) = \$12.31

Period 9: PV = \$15 / (1 + (5% / 2)) ^ (9) = \$12.01

Period 10: PV = \$1,015 / (1 + (5% / 2)) ^ (10) = \$792.92

Adding up these 10 present values equals \$912.48, which is the price of the bond.

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