Discount Points Break Even Calculator

Understanding when discount points break even is crucial for bond traders and investors. This calculator helps determine the point at which the cost of discount points equals the yield received, allowing you to make informed trading decisions.

What Are Discount Points?

Discount points are a measure of the difference between the market price of a bond and its par value. When a bond is trading below its par value, it's said to be trading at a discount, and the discount points represent the percentage difference between the two values.

Discount Points Formula

Discount Points = (Par Value - Market Price) / Par Value × 100

For example, if a bond with a par value of $1,000 is trading at $950, the discount points would be calculated as:

(1,000 - 950) / 1,000 × 100 = 5%

How to Calculate Break Even

The break even point for discount points occurs when the cost of the discount points equals the yield received from the bond. To calculate this, you need to consider the following factors:

Market price of the bond
Par value of the bond
Coupon rate of the bond
Yield to maturity (YTM)

Break Even Formula

Break Even Point = (Coupon Rate - Yield to Maturity) / Discount Points

This formula helps determine the point at which the bond's yield compensates for the discount points, making the trade profitable.

Example Calculation

Let's consider a bond with the following characteristics:

Characteristic	Value
Market Price	$950
Par Value	$1,000
Coupon Rate	5%
Yield to Maturity (YTM)	4%

First, calculate the discount points:

(1,000 - 950) / 1,000 × 100 = 5%

Next, apply the break even formula:

(5% - 4%) / 5% = 0.2 or 20%

This means that the bond must yield 20% more than the current YTM to break even on the discount points.

Interpretation

The break even point for discount points provides valuable insights for bond traders:

It helps determine the minimum yield required to make the trade profitable
It identifies the point at which the cost of discount points is offset by the yield received
It assists in making informed decisions about bond purchases and sales

Remember that the break even point is a theoretical calculation. Actual trading conditions may vary, and other factors such as transaction costs and market volatility should be considered.

FAQ

What is the difference between discount points and yield?

Discount points measure the difference between a bond's market price and its par value, while yield measures the return on the bond's investment. A higher yield can offset the cost of discount points, making the trade more attractive.

How do discount points affect bond prices?

Discount points indicate that a bond is trading below its par value. This can be attractive to investors seeking higher yields, but it also means the bond is less likely to appreciate in value over time.

Can discount points be negative?

No, discount points cannot be negative. They represent the percentage difference between a bond's market price and its par value, and this difference cannot be negative.