Bond Price Calculator
A bond is a debt instrument that represents a loan given to the issuer. In simpler terms, it is a loan provided by an investor to a company or the government. The borrowers use the borrowed amount for numerous purposes, such as funding their operations, expanding in different sectors, etc. On the other hand, the issuer benefits by receiving interest.
Understanding the Dynamic of the Bond Price Equation
A bond is deemed to be a fixed-income security. Therefore, whenever any issuer issues a bond, it is considered to be a method of getting funds from investors via issuing debt.
Whenever anyone purchases a bond from any bond issuer, they create a loan with them. Therefore, the bond price is the sum investors pay to purchase or acquire the bond. This sum acts as the perfect representative metric, facilitating individuals to calculate the bond price and value it precisely.
How can I calculate Bond Price?
A bond’s price is generally calculated as the current value of cash flow generated by the bond, i.e., which is termed the “coupon,” and the principal payment amount, or the “balloon payment.” A bond’s price keeps changing over time, and calculating its value using the bind price formula is one of the most effective methods.
Using the Bond Price Calculator
To calculate a bond price or its yield, one must input some variables. Here is a detailed look at them:
1. Inputs to the Bond Value Tool
Bond Face Value/Par Value
The face value or the par value is the total sum that the holder will receive when the bond’s maturity date arrives.
2. Annual Coupon Rate
Any bond’s posted rate of interest is referred to as the annual coupon rate. Another way to look at the bond face value is that it is the sum paid by the bond annually divided by the par value.
Market Rate
The yield amount an individual could otherwise receive by making another investment is known as the market rate or discount rate. The market rate or discount rate differs from the actual coupon rate of any bond.
3. Bond Price Tool Outputs
Once you have put in all the variables in the bond price calculator, you will receive the following outputs:
Dirty Price
The actual predicted market price of a bond whose features match the bond’s inputs is known as the dirty price. There are numerous differences between the clean price and the dirty price. One of the most major ones is that the dirty price’s yield to maturity can be considered to compound without any interruption.
Calculating Accumulated Interest
One of the easiest methods to calculate accumulated interest is using the day count convention. A day count convention refers to the system used to calculate both the accrued interest and the present value of the bond when the upcoming coupon payment is an entire coupon period away.
A day count convention generally uses the following values when it comes to ‘time between payments:
1 year equals 360 days.
Formulas for Calculating Dirty Price and Bond Price
There are multiple bond price formula following which individuals can calculate the clean and dirty price of bonds. When it comes to the formula for calculating the clean price of bonds, it is a complex job to do it manually. However, you can do it by using a spreadsheet program and applying the present value formula. Here is a detailed look:
Calculating Clean Price
Once you have created a new spreadsheet, add the following formula parameters – face value of the bond, coupon rate, discount rate or the market interest rate, years to maturity, and payments per year. Then, implement the PV formula, which functions like this:
Rate – obtained by dividing using the number of payouts in a year.
Number of Periods – obtained by multiplying the number of payouts per year.