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Tom Cruise Lines Inc. issued bonds five years ago at $1,000 per bond. These bond

ID: 2767244 • Letter: T

Question

Tom Cruise Lines Inc. issued bonds five years ago at $1,000 per bond. These bonds had a 30-year life when issued and the annual interest payment was then 14 percent. This return was in line with the required returns by bondholders at that point as described below: Assume that five years later the inflation premium is only 2 percent and is appropriately reflected in the required return (or yield to maturity) of the bonds. The bonds have 25 years remaining until maturity. Compute the new price of the bond. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.

Explanation / Answer

Bond Details Amt $ After 5 years Bond Face value               1,000 Years to Maturity =                     25 Yearly Coupon @14%                  140 Prevailing YTM (after reduction of inflation premium by 4%)= 10.00% Bond Price Calculation Period   Cash Flow from Interest & Maturity value PV factor @10% PV of Cash Flows                                                                  1                  140        0.909         127.27                                                                  2                  140        0.826         115.70                                                                  3                  140        0.751         105.18                                                                  4                  140        0.683           95.62                                                                  5                  140        0.621           86.93                                                                  6                  140        0.564           79.03                                                                  7                  140        0.513           71.84                                                                  8                  140        0.467           65.31                                                                  9                  140        0.424           59.37                                                               10                  140        0.386           53.98                                                               11                  140        0.350           49.07                                                               12                  140        0.319           44.61                                                               13                  140        0.290           40.55                                                               14                  140        0.263           36.87                                                               15                  140        0.239           33.51                                                               16                  140        0.218           30.47                                                               17                  140        0.198           27.70                                                               18                  140        0.180           25.18                                                               19                  140        0.164           22.89                                                               20                  140        0.149           20.81                                                               21                  140        0.135           18.92                                                               22                  140        0.123           17.20                                                               23                  140        0.112           15.63                                                               24                  140        0.102           14.21                                                               25               1,140        0.092         105.22 Total $ 1,363.08 So Bond Price after 5 years = $    1,363.08