In: Finance
1. Construct a loan amortization schedule for a 30-year, 8.65% loan of $15,000,000. The loan requires equal, end-of-year payments, and interest is compounded daily (use 360-day year). What is the total amount of interest paid over the life of the loan?
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loan amount | 15000000 | pv | |||||
rate | 8.65% | ||||||
life | 30 | nper | |||||
effective yearly rate= | 0.0903 | ||||||
9.03% | rate | ||||||
monthly instalment | 1463930.97 | use financial formula "PMT" | |||||
total amount paid on loan = 1463930.97 x 30 = 43917929.1 | |||||||
so amount of interest paid on loan = 43917929.1-15000000=28917929.1 | |||||||
amortization schedule | |||||||
A | B | C | A*9.03% | ||||
loan | instalment | principle | interest | OUTSTANDING LOAN | |||
1 | 15000000.00 | 1463930.97 | 109430.97 | 1354500.00 | 14890569.03 | ||
2 | 14890569.03 | 1463930.97 | 119312.58 | 1344618.38 | 14771256.45 | ||
3 | 14771256.45 | 1463930.97 | 130086.51 | 1333844.46 | 14641169.94 | ||
4 | 14641169.94 | 1463930.97 | 141833.32 | 1322097.65 | 14499336.61 | ||
5 | 14499336.61 | 1463931.97 | 154641.87 | 1309290.10 | 14344694.74 | ||
6 | 14344694.74 | 1463932.97 | 168607.03 | 1295325.94 | 14176087.70 | ||
7 | 14176087.70 | 1463933.97 | 183833.25 | 1280100.72 | 13992254.45 | ||
8 | 13992254.45 | 1463934.97 | 200434.39 | 1263500.58 | 13791820.06 | ||
9 | 13791820.06 | 1463935.97 | 218534.62 | 1245401.35 | 13573285.44 | ||
10 | 13573285.44 | 1463936.97 | 238269.29 | 1225667.68 | 13335016.15 | ||
11 | 13335016.15 | 1463937.97 | 259786.01 | 1204151.96 | 13075230.14 | ||
12 | 13075230.14 | 1463938.97 | 283245.69 | 1180693.28 | 12791984.45 | ||
13 | 12791984.45 | 1463939.97 | 308823.77 | 1155116.20 | 12483160.67 | ||
14 | 12483160.67 | 1463940.97 | 336711.56 | 1127229.41 | 12146449.11 | ||
15 | 12146449.11 | 1463941.97 | 367117.62 | 1096824.35 | 11779331.50 | ||
16 | 11779331.50 | 1463942.97 | 400269.34 | 1063673.63 | 11379062.16 | ||
17 | 11379062.16 | 1463943.97 | 436414.66 | 1027529.31 | 10942647.51 | ||
18 | 10942647.51 | 1463944.97 | 475823.90 | 988121.07 | 10466823.61 | ||
19 | 10466823.61 | 1463945.97 | 518791.80 | 945154.17 | 9948031.81 | ||
20 | 9948031.81 | 1463946.97 | 565639.70 | 898307.27 | 9382392.11 | ||
21 | 9382392.11 | 1463947.97 | 616717.96 | 847230.01 | 8765674.15 | ||
22 | 8765674.15 | 1463948.97 | 672408.59 | 791540.38 | 8093265.55 | ||
23 | 8093265.55 | 1463949.97 | 733128.09 | 730821.88 | 7360137.46 | ||
24 | 7360137.46 | 1463950.97 | 799330.56 | 664620.41 | 6560806.90 | ||
25 | 6560806.90 | 1463951.97 | 871511.11 | 592440.86 | 5689295.80 | ||
26 | 5689295.80 | 1463952.97 | 950209.56 | 513743.41 | 4739086.24 | ||
27 | 4739086.24 | 1463953.97 | 1036014.48 | 427939.49 | 3703071.76 | ||
28 | 3703071.76 | 1463954.97 | 1129567.59 | 334387.38 | 2573504.17 | ||
29 | 2573504.17 | 1463955.97 | 1231568.54 | 232387.43 | 1341935.62 | ||
30 | 1341935.62 | 1463956.97 | 1342780.18 | 121176.79 | -844.56 | ||