***please use the time value of money factors attached below. Future Value of a

Question

***please use the time value of money factors attached below.

Future Value of a Lump-Sum Rate of interest per period in percent Periods! ½% 390 590 9% 10% 12% 15% 20% 3 1.0151 1.0927 .1576 1910 1.2597 1.2950 1.3310 1.4049 1.5209 7280 4 1.0202 1.1255 1.2155 2625 1.3605 1.4116 .4641 5735 1.7490 2.0736 51.0253 1.1593 1.2783 1.3382 1.4693 1.5386 1.6105 1.7623 2.0114 2.4883 6 1.0304 1.1941 1.340 1.4185 1.5869 1.6771 1.7716 .9738 2.313 2.9860 71.0355 1.2299 1.407 5036 1.7138 1.8280 1.9487 2.2107 2.6600 3.5832 81.0407 1.2668 1.4775 1.5939 1.8510 1.9926 2.1436 2.4760 3.0590 4.2998 91.04591.3048 1.5513 .6895 1.9990 2.1719 2.3579 2.7731 3.5179 5.1598 101.0511 1.3439 .6289 7909 2.15892.3674 2.5938 3.1059 4.0456 6.1917 12 1.0617 1.4257 1.7959 2.0122 2.5182 2.8127 3.1384 3.8960 5.3503 8.9161 15 1.0777 1.5580 2.0789 2.3966 3.1722 3.6425 4.1773 5.4736 8.1371 15.4070 161.08311.6047 2.1829 2.5404 3.42593.97034.5950 6.1304 9.357618.4884 17 1.0885 1.6529 2.2920 2.6928 3.7000 4.3276 5.0545 6.8660 10.7613 22.1861 181.0939 1.7024 2.4066 2.8543 3.9960 4.71715.55997.6900 12.3755 26.6233 19 1.0994 1.7535 2.5270 3.0256 4.3157 5.1417 6.1159 8.6128 14.2318 31.9480 201.1049 1.8061 2.6533 3.207 4.6610 5.6044 6.7275 9.6463 16.3665 38.3376 21 1.1104 1.8603 2.7860 3.39965.0338 6.1088 7.4002 10.8038 18.8215 46.0051 22 1.1160 1.9161 2.9253 3.6035 5.4365 6.6586 8.1403 12.1003 21.644755.2061 23 1.1216 1.9736 3.0715 3.8197 5.8715 7.25798.9543 13.5523 24.8915 66.2474 24 1.1272 2.0325 3.2251 4.0489 6.3412 7.9111 9.8497 15.1786 28.6252 79.4969 25 1.1328 2.09383.3864 4.2919 6.8485 8.6231 10.8347 17.0001 32.9190 95.3962 60 1.34895.891618.6792 32.9877 101.257 176.031 304.482 897.597 4383.99 56347.5

Explanation / Answer

Lease liability to be recorded on Jan.1,2018 = Present value of future lease payments discounted at 20% Date Lease payments Discount factor @ 20% Present Values A B C B*C 1.1.2018 $0.00                      1.0000 $0.00 31.12.2018 $10,000.00                      0.8333 $8,333.33 31.12.2019 $10,000.00                      0.6944 $6,944.44 31.12.2020 $10,000.00                      0.5787 $5,787.04 31.12.2021 $10,000.00                      0.4823 $4,822.53 31.12.2022 $10,000.00                      0.4019 $4,018.78 31.12.2023 $10,000.00                      0.3349 $3,348.98 31.12.2024 $10,000.00                      0.2791 $2,790.82 31.12.2025 $10,000.00                      0.2326 $2,325.68 31.12.2026 $10,000.00                      0.1938 $1,938.07 31.12.2027 $10,000.00                      0.1615 $1,615.06 Present value of lease payments $41,924.72 Lease liability to be recorded on Jan.1,2018 = $41,924.72 Lease Liability amortization table Date Lease payment Interest Expense (20% of beginning lease liability balance) Reduction in lease liability Lease liability balance 1.1.2018 $41,924.72 31.12.2018 10000 $8,384.94 $1,615.06 $40,309.67 31.12.2019 10000 $8,061.93 $1,938.07 $38,371.60 31.12.2020 10000 $7,674.32 $2,325.68 $36,045.92 31.12.2021 10000 $7,209.18 $2,790.82 $33,255.10 31.12.2022 10000 $6,651.02 $3,348.98 $29,906.12 31.12.2023 10000 $5,981.22 $4,018.78 $25,887.35 31.12.2024 10000 $5,177.47 $4,822.53 $21,064.81 31.12.2025 10000 $4,212.96 $5,787.04 $15,277.78 31.12.2026 10000 $3,055.56 $6,944.44 $8,333.33 31.12.2027 10000 $1,666.67 $8,333.33 $0.00 Amount of lease liability at December 31,2019 = $38,371.60

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