# Present value coupon bond formula

Step 6: Finally, adding together the present value of all the coupon payments and the par value gives the bond price as below,.

Below are some of the Examples of Bond Pricing Formula. Let us take an example of a bond with annual coupon payments. Since the coupon rate is lower than the YTM , the bond price is less than the face value and as such the bond is said to be traded at discount.

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Let us take an example of a bond with semi-annual coupon payments. Since the coupon rate is higher than the YTM, the bond price is higher than the face value and as such, the bond is said to be traded at a premium. Let us take the example of a zero coupon bond. The concept of bond pricing is very important because bonds form an indispensable part of the capital markets, and as such investors and analysts are required to understand how the different factors of a bond behave in order to determine its intrinsic value.

Similar to stock valuation, the pricing of a bond is helpful in understanding whether it is a suitable investment for a portfolio and consequently forms an integral part of bond investing.

## Present Value of a Bond

This has been a guide to Bond Pricing Formula. Here we discuss how to perform bond pricing calculations along with practical examples and downloadable excel templates. You may learn more about Fixed Income from the following articles —. Your email address will not be published. When this occurs, the bond will trade at a discount , that is, below par. However, the bondholder will be paid the full face value of the bond at maturity even though he purchased it for less than the par value.

Key Takeaways Bond valuation is a way to determine the theoretical fair value or par value of a particular bond.

## An Introduction to Bonds, Bond Valuation & Bond Pricing

It involves calculating the present value of a bond's expected future coupon payments, or cash flow, and the bond's value upon maturity, or face value. As a bond's par value and interest payments are set, bond valuation helps investors figure out what rate of return would make a bond investment worth the cost.

Following our example above, if the bond paid no coupons to investors, its value will simply be:. Under both calculations, a coupon paying bond is more valuable than a zero-coupon bond. Compare Investment Accounts.

## Bond Valuation

The offers that appear in this table are from partnerships from which Investopedia receives compensation. Related Terms Bond Discount Bond discount is the amount by which the market price of a bond is lower than its principal amount due at maturity. Par Value Par value is the face value of a bond, or for a share, the stock value stated in the corporate charter.

It is important for a bond or fixed-income instrument because it determines its maturity value as well as the dollar value of coupon payments. Zero-Coupon Bond A zero-coupon bond is a debt security that doesn't pay interest but is traded at a deep discount, rendering profit at maturity when the bond is redeemed for its full face value.

### How to calculate bond price in Excel?

Strip Bond A strip bond is a bond where both the principal and regular coupon payments--which have been removed--are sold separately. Coupon Rate Coupon rate is the yield paid by a fixed income security, which is the annual coupon payments paid by the issuer relative to the bond's face or par value. Partner Links. Related Articles. Fixed Income Essentials When is a bond's coupon rate and yield to maturity the same?

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