In: Accounting
LaTanya Corporation is planning to issue bonds with a face value of $101,000 and a coupon rate of 6 percent. The bonds mature in seven years. Interest is paid annually on December 31. All of the bonds will be sold on January 1 of this year. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your final answer to whole dollars.) Required: Compute the issue (sale) price on January 1 of this year for each of the following independent cases: a. Case A: Market interest rate (annual): 6 percent. b. Case B: Market interest rate (annual): 4 percent c. Case C: Market interest rate (annual): 7 percent.
Solution a:
| Computation of bond price | |||
| Table values are based on: | |||
| n= | 7 | ||
| i= | 6.00% | ||
| Cash flow | Table Value | Amount | Present Value |
| Par (Maturity) Value | 0.66506 | $101,000.00 | $67,171 |
| Interest (Annuity) | 5.58238 | $6,060.00 | $33,829 |
| Price of bonds | $101,000 | ||
Solution b:
| Computation of bond price | |||
| Table values are based on: | |||
| n= | 7 | ||
| i= | 4.00% | ||
| Cash flow | Table Value | Amount | Present Value |
| Par (Maturity) Value | 0.75992 | $101,000.00 | $76,752 |
| Interest (Annuity) | 6.00205 | $6,060.00 | $36,372 |
| Price of bonds | $113,124 | ||
Solution c:
| Computation of bond price | |||
| Table values are based on: | |||
| n= | 7 | ||
| i= | 7.00% | ||
| Cash flow | Table Value | Amount | Present Value |
| Par (Maturity) Value | 0.62275 | $101,000.00 | $62,898 |
| Interest (Annuity) | 5.38929 | $6,060.00 | $32,659 |
| Price of bonds | $95,557 | ||