# Discount Margin (DM) Explained: Definition, Application, and Calculation

## What Is a Discount Margin (DM)?

A discount margin (DM) is an estimate of the potential additional return on a floating-rate bond over its [reference rate](https://www.investopedia.com/terms/r/referencerate.asp). It considers the bond's fluctuating yield over time, providing insights into expected future cash flows and current market pricing. Understanding how to calculate and apply the discount margin can help you assess the value and potential earnings of variable-rate securities.

### Key Takeaways

*   The discount margin (DM) estimates the additional return over a floating bond's reference rate.  
    
*   DM helps equate future cash flows of a bond to its current market price.  
    
*   Calculating DM involves complex formulas and financial tools, considering time value of money.  
    
*   DM varies based on the bond's market price relative to its par value.

## Understanding Discount Margins in Floating-Rate Bonds

Bonds with [variable interest rates](https://www.investopedia.com/terms/v/variableinterestrate.asp) are usually priced near their [par value](https://www.investopedia.com/terms/p/parvalue.asp) because their rates adjust with the reference rate. The difference between a security's yield and its benchmark yield is called a spread, and there are different ways to calculate it for various benchmarks.

The discount margin is one of the most common calculations: It estimates the spread above the reference index, equating the [present value](https://www.investopedia.com/terms/p/presentvalue.asp) of future cash flows to the [note's](https://www.investopedia.com/terms/f/frn.asp) current price.

There are three main situations involving a discount margin:

1.  If a [floating](https://www.investopedia.com/terms/f/floater.asp) rate security's price is at par, the discount margin equals the [reset margin](https://www.investopedia.com/terms/r/reset-margin.asp).
2.  Bond prices usually return to [par](https://www.investopedia.com/terms/p/parvalue.asp) at maturity. If a floating rate bond is priced at a discount, the investor earns extra return above the reset margin. This extra return plus the reset margin equals the [discount](https://www.investopedia.com/terms/a/at-a-discount.asp) margin.
3.  Should the floating rate bond be priced [above par](https://www.investopedia.com/terms/a/abovepar.asp), the discount margin would equal the [reference rate](https://www.investopedia.com/terms/r/referencerate.asp) less the reduced earnings.

## Calculating Discount Margin: A Comprehensive Guide

The discount margin formula is complex and considers the [time value of money](https://www.investopedia.com/terms/t/timevalueofmoney.asp); it typically requires a financial spreadsheet or calculator for accurate calculation. There are seven variables involved in the formula. They are:

1.  P = the floating rate note's price plus any [accrued interest](https://www.investopedia.com/terms/a/accruedinterest.asp)
2.  c(i) = the cash flow received at the end of time period i (for final period n, the principal amount must be included)
3.  I(i) = the assumed index level at time period i
4.  I(1) = the current index level
5.  d(i) = number of actual days in period i, assuming the actual/360-[day count convention](https://www.investopedia.com/terms/d/daycount.asp)
6.  d(s) = number of days from the start of the time period until settlement date
7.  DM = the discount margin, the variable to solve for

Except for the first, [coupon payments](https://www.investopedia.com/terms/c/coupon.asp) are unknown and must be estimated to calculate the discount margin. The formula, which must be solved by iteration to find DM, is as follows:

The current price, P, equals the summation of the following fraction for all time periods from the beginning time period to maturity:

numerator = c(i)

denominator = (1 + (I(1) + DM) / 100 x (d(1) - d(s)) / 360) x Product (i, j=2)( 1 + (I(j) + DM) / 100 x d(j) / 360)

## The Bottom Line

The discount margin (DM) is key to understanding expected returns on floating rate securities like bonds. It represents the spread over a reference rate that equates the bond's cash flows to its current price. The DM calculation involves complex formulas considering several variables including time value of money, and typically requires a financial calculator or spreadsheet. Investors should be aware that the DM can vary based on the bond's market price relative to its par value, offering potential additional returns. Mastering DM calculations gives investors a fuller picture of potential returns from floating-rate securities.  

> **Article Sources**
>
> 1.  TreasuryDirect. "[Understanding Pricing and Interest Rates](https://www.treasurydirect.gov/marketable-securities/understanding-pricing/)."
>     
> 2.  TreasuryDirect. "[Interest Rates and Prices](https://www.treasurydirect.gov/government/interest-rates-and-prices/)."