Home

How to Figure Out the Present Value of a Bond

|
Updated:  
2016-03-26 12:57:49
|
From The Book:  
No items found.
Reading Financial Reports For Dummies
Explore Book
Buy On Amazon

In many ways, the present value process is the same as the concepts used for notes payable. Assume a company issues a $100,000 bond due in four years paying seven percent interest annually at year-end. Here are the steps to compute the present value of the bond:

  1. Compute annual interest expense.

    The interest expense is $100,000 x 0.07 = $7,000 interest expense per year.

  2. Find the market interest rate for similar bonds.

    You can check a financial publication, such as The Wall Street Journal, for current market rates on bonds. The market interest rate may differ from the rate actually being paid. You want the market rate, because in the next step you use the market rate to look up the present value factor for the interest payments.

    Assume that the market rate for similar bonds is 11 percent. Specifically, similar bonds (with similar credit rating, stated interest rate, and maturity date) are priced to yield 11 percent. Because the stated rate is 7 percent, the bond must be priced at a discount. The discount is amortized into income, which increases the yield to maturity.

  3. Find the present value factors for the face value of the bond and interest payments.

    Use the present value of $1 table to find the present value factor for the bond’s face amount. Use the present value of an annuity table to find the present value factor for the interest payments.

    In each case, find the factor for four periods (years) at 11 percent interest. In this example, the present value factor for the bond’s face amount is 0.65873, and the present value factor of the interest payments is 3.1025.

    Search the web to find a present value of $1 table and a present value of an annuity table. Look for tables that list the factors out to the fifth decimal place.

  4. Use the present value factors to calculate the present value of each amount in dollars.

    The present value of the bond is $100,000 x 0.65873 = $65,873. The present value of the interest payments is $7,000 x 3.10245 = $21,717, with rounding.

  5. Add the present value of the two cash flows to determine the total present value of the bond.

    In this example, $65,873 + $21,717 = $87,590.

About This Article

This article is from the book: 

No items found.

About the book author:

Kenneth W. Boyd has 30 years of experience in accounting and financial services. He is a four-time Dummies book author, a blogger, and a video host on accounting and finance topics.

Lita Epstein, who earned her MBA from Emory University's Goizueta Business School, enjoys helping people develop good financial, investing, and tax planning skills. She designs and teaches online courses and has written more than 20 books, including Bookkeeping For Dummies and Reading Financial Reports For Dummies, both published by Wiley.

Mark P. Holtzman, PhD, CPA, is Chair of the Department of Accounting and Taxation at Seton Hall University. He has taught accounting at the college level for 17 years and runs the Accountinator website at www.accountinator.com, which gives practical accounting advice to entrepreneurs.

Frimette Kass-Shraibman is Associate Professor of Accounting at Brooklyn College — CUNY.

Vijay S. Sampath is Managing Director in the Forensic and Litigation Consulting business segment of FTI Consulting, Inc.

John A. Tracy is Professor of Accounting at the University of Colorado in Boulder and the author of Accounting For Dummies.

Tage C. Tracy is principal owner of TMK & Associates, an accounting, financial,and strategic business planning consulting firm.

John A. Tracy is Professor of Accounting at the University of Colorado in Boulder and the author of Accounting For Dummies.

Jill Gilbert Welytok, JD, CPA, LLM, practices in the areas of corporate law, nonprofit law, and intellectual property. She is the founder of Absolute Technology Law Group, LLC (www.abtechlaw.com). She went to law school at DePaul University in Chicago, where she was on the Law Review, and picked up a Masters Degree in Computer Science from Marquette University in Wisconsin where she now lives. Ms. Welytok also has an LLM in Taxation from DePaul. She was formerly a tax consultant with the predecessor firm to Ernst & Young. She frequently speaks on nonprofit, corporate governance–taxation issues and will probably come to speak to your company or organization if you invite her. You may e-mail her with questions you have about Sarbanes-Oxley at [email protected].