Del Monty will receive the following payments at the end of the next three years

Question

Del Monty will receive the following payments at the end of the next three years: $20,000, $23,000, and $25,000. Then from the end of the 4th year through the end of the 10th year, he will receive an annuity of $26,000 per year.

At a discount rate of 10 percent, what is the present value of all three future benefits? 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.)
Present value of all future benefits =

Appendix B Present value of $1,PVF PV=FV Percent Period 4 Appendlx B (concluded) Percent Period 50% 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.694 0.640 0.592 0.549 0.510 0.444 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.579 0512 0.455 0.406 0.364 0.296 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.335 0.262 0.207 0.165 0.133 0.088 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.279 0.210 0.159 0.122 0.095 0.059 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.135 0.086 0.056 0.037 0.025 0.012 0.160 0.140 0.123 0.108 0.095 0.084 0.074 0.065 0.035 0.020 0.011 0.006 0.002 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.045 0.023 0.012 0.006 0.003 0.001 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.031 0.014 0.007 0.003 0.002 0 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026 0.012 0.005 0.002 0.001 0 0.047 0.038 0.030 0.024 0.020 0.016 0.013 0.010 0.004 0.001 0.001 0 0.026 0.020 0.015 0.012 0.009 0.007 0.005 0.004 0.001 0

Explanation / Answer

Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)

=20000/1.1+23000/1.1^2+25000/1.1^3+26000/1.1^4+26000/1.1^5+..............+26000/1.1^10

=20000/1.1+23000/1.1^2+25000/1.1^3+26000[1/1.1^4+1/1.1^5+..............+1/1.1^10]

=(20000*0.90909)+(23000*0.826446281)+(25000*0.7513148)+(26000*3.657715115)

=$151073.55(Approx).

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