In: Finance
Please show your working and formula (If possible)
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Suppose you take out an $840,000, 20-year mortgage loan to buy a residential apartment. The interest rate on the mortgage is 4.65% per annum, and payments are required to be made annually at the end of each year.
Question:
Construct a mortgage amortisation table showing loan balance at the beginning of each period, annual repayment amount, interest payment, the amortisation of the loan and the loan balance for each year.
Sl. | Beginning | Interest | Principal | Repayment amountt | Balance |
1 | 840000 | 39060 | 26358.02 | 65418.02 | 813641.98 |
2 | 813641.98 | 37834.35 | 27583.67 | 65418.02 | 786058.32 |
3 | 786058.32 | 36551.71 | 28866.31 | 65418.02 | 757192.01 |
4 | 757192.01 | 35209.43 | 30208.59 | 65418.02 | 726983.43 |
5 | 726983.43 | 33804.73 | 31613.29 | 65418.02 | 695370.14 |
6 | 695370.14 | 32334.71 | 33083.31 | 65418.02 | 662286.84 |
7 | 662286.84 | 30796.34 | 34621.68 | 65418.02 | 627665.16 |
8 | 627665.16 | 29186.43 | 36231.59 | 65418.02 | 591433.57 |
9 | 591433.57 | 27501.66 | 37916.36 | 65418.02 | 553517.22 |
10 | 553517.22 | 25738.55 | 39679.47 | 65418.02 | 513837.75 |
11 | 513837.75 | 23893.46 | 41524.56 | 65418.02 | 472313.2 |
12 | 472313.2 | 21962.56 | 43455.46 | 65418.02 | 428857.74 |
13 | 428857.74 | 19941.88 | 45476.14 | 65418.02 | 383381.6 |
14 | 383381.6 | 17827.24 | 47590.78 | 65418.02 | 335790.83 |
15 | 335790.83 | 15614.27 | 49803.75 | 65418.02 | 285987.08 |
16 | 285987.08 | 13298.4 | 52119.62 | 65418.02 | 233867.47 |
17 | 233867.47 | 10874.84 | 54543.18 | 65418.02 | 179324.29 |
18 | 179324.29 | 8338.58 | 57079.44 | 65418.02 | 122244.86 |
19 | 122244.86 | 5684.39 | 59733.63 | 65418.02 | 62511.23 |
20 | 62511.23 | 2906.77 | 62511.25 | 65418.02 | 0 |
Interest = Previous balance * interest rate
Principal = Yearly payment - interest
Balance = Previous balance - principal