# Calculate the value of a fixed rate bond with fifteen years left to maturity

A.    Calculate the value of a fixed rate bond with fifteen years left to maturity, annual coupon payments at a coupon rate of 5.0%, face value of \$1,000, and yield-to-maturity of 3.5%.

## Calculate the value of a fixed rate bond with fifteen years left to maturity

A.    Calculate the value of a fixed rate bond with fifteen years left to maturity, annual coupon payments at a coupon rate of 5.0%, face value of \$1,000, and yield-to-maturity of 3.5%. hint: See solution for similar problem in lecture presentation on Bonds. Should the calculated value be greater than or less than \$1,000?

B.     Calculate the value of a fixed rate bond with fifteen years left to maturity, annual coupon payments at a coupon rate of 3.5%, face value of \$1,000, and yield-to-maturity of 5%. hint: See solution for similar problem in lecture presentation on Bonds. Should the calculated value be greater than or less than \$1,000?

C.      Calculate the value of a fixed rate bond with fifteen years left to maturity, semi-annual coupon payments at a coupon rate of 5.0%, face value of \$1,000, and yield-to-maturity of 3.5%. hint: See solution for similar problem in lecture presentation on Bonds. Should the calculated value be greater than or less than \$1,000?

### D. What is the yield-to-maturity of a corporate bond that has face value of \$1,000, annual coupon payments of \$35, is being quoted at 102.5, and has seven years left to maturity? hint: You need to use the Excel RATE function.

E.      Calculate the value of a preferred stock with a fixed annual dividend of \$2.45, assuming a discount rate of 9.5%. Solve the problem two different ways: first by using the algebraic formula for a constant dividend preferred stock, then by using the built-in Excel function PV. hint: Use the Preferred Stock example in the posted DDM Excel Examples file as a guide. Feel free to copy the worksheet and make the minor necessary changes to answer this question.

F.     Epected annual dividend of \$2.00 next year and estimated annual dividend growth of 2% per year indefinitely. Assume a di Calculate the value of a stock with an exscount rate of 8%. Solve the problem two different ways: first by using the algebraic formula for the Gordon Growth Model, then by using Excel to calculate and sum the dividends and their respective present values for the next 150 years. hint: Use the PV Const Growth Dividend example in the posted DDM Excel Examples file as a guide. Feel free to copy the worksheet and make the minor necessary changes to answer this question.

#### G.    Calculate the value of a stock with the following expectations for dividend payments: \$1.75 in Year 1, \$2.00 in Year 2, and then annual dividend growth of 1.5% per year indefinitely.

Assume a discount rate of 9%. Solve the problem two different ways: first by using the algebraic formula for the Gordon Growth Model combined with PV of uneven dividend payments, then by using Excel to calculate and sum the dividends and their respective present values for the next 150 years. hint: Use the Uneven, then Const. Growth Div example in the posted DDM Excel Examples file as a guide. Feel free to copy the worksheet and make the minor necessary changes to answer this question.

H.     Calculate the value of a stock with the following expectations for dividend payments: \$1.75 in Years 1, 2 and 3, and then annual dividend growth of 1.5% per year indefinitely. Assume a discount rate of 9%. Solve the problem two different ways: first by using the algebraic formula for the Gordon Growth Model combined with PV of uneven dividend payments, then by using Excel to calculate and sum the dividends and their respective present values for the next 150 years. hint: Use the Uneven, then Const. Growth Div example in the posted DDM Excel Examples file as a guide. Feel free to copy the worksheet and make the minor necessary changes to answer this question.

·         Ch 7 – DDM Excel Examples.xlsx