Mark Ventura has just purchased an annuity to begin payment two years from today

Question

Mark Ventura has just purchased an annuity to begin payment two years from today. The annuity is for $14,000 per year and is designed to last 7 years.

If the interest rate for this problem calculation is 8 percent, what is the most he should have paid for the annuity? 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.)
Maximum Payment_____

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)

=14000/1.08^2+14000/1.08^3+14000/1.08^4+..........+14000/1.08^8

=14000[1/1.08^2+1/1.08^3+.......+1/1.08^8]
=$14000*4.820713018

=$67489.98(Approx).

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