In: Finance
Bridget Jones has a contract in which she will receive the following payments for the next five years: $22,000, $23,000, $24,000, $25,000, and $26,000. She will then receive an annuity of $28,000 a year from the end of the 6th through the end of the 15th year. The appropriate discount rate is 12 percent. a. What is the present value of all future payments? Use Appendix B and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) b. If she is offered $170,000 to cancel the contract, should she do it? Yes No
Discount rate | 12.000% | |||||||||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
Cash flow stream | 0 | 22000 | 23000 | 24000 | 25000 | 26000 | 28000 | 28000 | 28000 | 28000 | 28000 | 28000 | 28000 | 28000 | 28000 | 28000 |
Discounting factor | 1.000 | 1.120 | 1.254 | 1.405 | 1.574 | 1.762 | 1.974 | 2.211 | 2.476 | 2.773 | 3.106 | 3.479 | 3.896 | 4.363 | 4.887 | 5.474 |
Discounted cash flows project | 0.000 | 19642.857 | 18335.459 | 17082.726 | 15887.952 | 14753.098 | 14185.671 | 12665.778 | 11308.730 | 10097.081 | 9015.251 | 8049.331 | 7186.903 | 6416.877 | 5729.355 | 5115.495 |
PV = Sum of discounted cash flows | ||||||||||||||||
PV = | 175472.56 | |||||||||||||||
Where | ||||||||||||||||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | |||||||||||||||
Discounted Cashflow= | Cash flow stream/discounting factor |
If she is offered 170000 she shouldnot cancel as it it is lesser than present value of future cash flows