Present Value (issue price) of a Bond.

Present value and issue price of a bond explained for CPA, CMA, and EA exam candidates and finance practitioners. This corporate finance and intermediate accounting lecture shows how to price a bond using the time value of money by discounting its future cash flows at the market rate. Learn how to value the coupon payments as an annuity and the face value as a lump sum, and see complete examples for both annual and semiannual interest, including a bond priced at a discount. Ideal for students learning bond valuation and long-term liabilities. Try it free at farhatlectures.com — interactive exercises, lectures, simulations, cases, multiple choice, and AI tools for CPA, CMA, EA and students. Video Timeline & Key Concepts: 0:00 Introduction: pricing a bond with the time value of money 3:00 Components of bond price: coupon payments and face value 6:34 Example: a 5-year, 5 percent coupon bond priced at a 6 percent market rate 11:02 Semiannual interest: adjusting periods, rate, and payment amount 13:36 Takeaway: discounting an annuity plus a lump sum to value investments Frequently Asked Questions: Q: How is the issue price of a bond determined? A: The issue price of a bond equals the present value of all its future cash flows discounted at the market interest rate. This means adding the present value of the periodic coupon payments, treated as an annuity, to the present value of the face value paid at maturity. Q: Why is a bond priced at a discount or a premium? A: A bond sells at a discount when the market interest rate is higher than the bond's coupon rate, because investors will only pay less than face value to earn the higher market return. It sells at a premium when the market rate is lower than the coupon rate, since the above-market coupons are worth paying extra for. Q: How do you calculate the price of a bond with semiannual interest? A: For semiannual bonds you adjust the inputs: divide the annual coupon and the annual market rate by two, and double the number of periods to reflect twice-yearly payments. You then discount the semiannual coupon annuity and the face value at the semiannual market rate. Q: What are the two cash flow components used to value a bond? A: The two components are the coupon payments and the face value. Coupon payments form an annuity discounted over the life of the bond, while the face value is a single lump sum discounted from the maturity date back to the present. Hashtags: #bondvaluation #presentvalue #bondpricing #timevalueofmoney #issueprice #corporatefinance #intermediateaccounting #CPAexam #CMAexam #enrolledagentexam #accountingcourses #collegecourses #courses