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# Bond Price Calculator

Enter the required inputs into this bond price calculator and estimate the price of a particular bond in seconds.

$% years % Add this calculator to your site ADVERTISEMENT ADVERTISEMENT Use the bond price calculator to find out what paper bonds are worth according to the par value of the bond and current yields. This tool is designed to help investors and professionals who want to invest in bonds. It quickly calculates the bond price. The value of a bond calculator is very high for investors because it saves them from performing wrong calculations that can lead to loss. ## Bond Valuation: A bond is a kind of fixed investment and when it is issued, the issuer gets the fund against the bond and the investor holds the bond for a specific interval as an investment. The valuation means to determine the value of bond. The valuation of a bond provides you with the cash value that is associated with the bond. It is beneficial for investors because it lets them know the rate of return that they will get on a bond investment. A bond valuation calculator is very helpful in knowing how much is a bond worth. As it allows to perform a high-speed calculation by just adding a few inputs. ### More Useful Insights: • The price of a bond is affected by the change in interest rate • The price of a bond cant be equal to its face value in all cases • Corporate bonds are risky as compared to government bonds ## How To Calculate Bond Price? ### Bond Price Formula: Use the following bond price equation to determine the value of the bond: Bond Price =$$\frac{C}{(1 + r)} + \frac{C}{(1 + r)^2} + \frac{C}{(1 + r)^3} + \ldots + \frac{C}{(1 + r)^n} + \frac{FV}{(1 + r)^n}$$ • C is the representative of coupon payment • R shows the periodic interest rate • N represents the number of periods (years) till the bond is matured • FV shows the face value or principal amount of the bond Put the values of all the variables in the above-written formula as we have done in the following example, so you can know how to find the price of a bond. If it seems difficult then get the help of a bond price calculator and perform the calculation seamlessly. ### Practical Example: Suppose I have a bond where: • The number of years to maturity is 7 • Yield is 5% • The bond face value is$2000
• The annual coupon rate is 5%
• Payments are annually

Now how much is my bond worth?

#### Solution:

The value of frequency is one because it's an annual bond

Coupon Per Period = face value × coupon rate/frequency

Coupon Per Period = 2000 x 5%/1 = 2000 x 5/100

Coupon Per Period = $100 Bond Price = $$\frac{C}{(1 + r)} + \frac{C}{(1 + r)^2} + \frac{C}{(1 + r)^3} + \ldots + \frac{C}{(1 + r)^n} + \frac{FV}{(1 + r)^n}$$ Now, put these values into the bond price formula: Bond Price = $$\frac{100}{(1 + 0.05)} + \frac{100}{(1 + 0.05)^2} + \frac{100}{(1 + 0.05)^3} + \ldots + \frac{100}{(1 + 0.05)^7} + \frac{2000}{(1 + 0.05)^7}$$ Calculate each of these terms: BP = $$\frac{100}{1.05} + \frac{100}{(1.05)^2} + \frac{100}{(1.05)^3} + \ldots + \frac{100}{(1.05)^7} + \frac{2100}{(1.05)^7}$$ Now, sum up all the terms: BP =$95.24 + $90.70 +$86.38 + $82.27 +$78.35 + $74.63 +$71.07 + $1421.36 BP =$2000

This bond valuation shows that the present value of your bond is \$2000.

You can perform the manual calculation with the help of a bond pricing formula, but the more convenient way is to use a bond calculator online. It will make the whole calculation easy for you.

## How Does Our Bond Price Calculator Work?

Access this bond value calculator from your browser and derive the price of a bond effortlessly.

### What Do You Need To Enter?

• Years to Maturity
• Discount Rate (%)
• Face Value
• Coupon Rate (%)
• Coupon Payment Frequency

### This Is What You Will Get!

• Bond Price: With this price, the investors understand the current market value of a particular bond and its relationship to the market interest yield. This information is very helpful for the investors and professionals.

This bond calculator is an important tool that helps in pricing the bonds and making informed decisions.

## Terms Affecting Bond’s Price:

### Bond Face Value/Par Value:

Face value of a bond is the total amount that the bondholder receives at the time when the bond is matured.

### Annual Coupon Rate:

This is the posted interest on the bond.

### Market Rate or Discount Rate:

This is the yield that is received on doing another investment.

### Years to Maturity:

These are the years in which the bond reaches its maturity date. At this time, The issuer is bound to pay back the face value.

### Coupon Payout Frequency:

It's a frequency that informs about how many times the issuer pays interest payments to the bondholder.

### You Must Know!

• If coupon rate = market interest or discount rate, then the bond should be selling at par value
• IF coupon rate <> market interest or discount rate AND price of bond > Face/par value,  then the bond should be selling at a premium
• If coupon rate <> market interest or discount rate AND price of bond < Face/par value, then the bond should be selling at a discount

## FAQ’s:

### Are Bonds A Safe Investment?

The payouts are guaranteed so that’s why they are considered as a safe investment in most cases. But this investment is still a risky thing because it totally depends upon the issuer.

### Why Do People Buy 10 Year Bonds?

It is considered a low-risk investment because the 10-year treasury note in the United States is issued by the government.

### If Interest Rates Rise What Happens To Bond Prices?

If the interest rate goes up:

• The cash flow is discounted
• The price of the bond goes down

### Why Is The Price of My Bond Different From Its Face Value?

It is a normal thing because it depends upon several factors including interest rate, the credit rating of a company, and time to maturity. Variance in these factors can cause a change in the bond price.

### What Is Mid-Swap In Bond Pricing?

It is a benchmark interest rate that one party wants to receive and the other party wants to pay during the exchange of fixed and floating interest rates in a contract. This contract is known as the Swap. This term is used by the issuers in deciding the interest to offer on the bond, keeping it equal to the market.

## References:

Wallstreetmojo.com : Bond Pricing Formula

Investopedia.com : Bond Prices and Yields-An Overview.