Question

In: Finance

You have obtained a mortgage for $100,000 with annual interest rate of 6% that is to...

You have obtained a mortgage for $100,000 with annual interest rate of 6% that is to be paid over 30 years (interest is compounded monthly). Your monthly payment is $600.

Complete the first few rows of the loan amortization table (show how you got the number):

Months

Loan balance

Loan payment

Interest

Principal

1

2

3

Solutions

Expert Solution

Monthly interest rate = 6%/12 = 0.5%

Amortization Schedule
Month Beginning Amount Payment Interest Repayment of principal Principal Portion Ending Balance
A B C D = B*0.5% E = C-D F = B-E
1 100000 600 500 100 99900
2 99900 600 499.5 100.5 99799.5
3 99799.5 600 498.9975 101.0025 99698.4975
4 99698.4975 600 498.4924875 101.5075125 99596.99
5 99596.99 600 497.9849499 102.0150501 99494.9749
6 99494.9749 600 497.4748747 102.5251253 99392.4498
7 99392.4498 600 496.9622491 103.0377509 99289.4121
8 99289.4121 600 496.4470603 103.5529397 99185.8591
9 99185.8591 600 495.9292956 104.0707044 99081.7884
10 99081.7884 600 495.4089421 104.5910579 98977.1974
11 98977.1974 600 494.8859868 105.1140132 98872.0833
12 98872.0833 600 494.3604167 105.6395833 98766.4438
13 98766.4438 600 493.8322188 106.1677812 98660.276
14 98660.276 600 493.3013799 106.6986201 98553.5774
15 98553.5774 600 492.7678868 107.2321132 98446.3452
16 98446.3452 600 492.2317262 107.7682738 98338.577
17 98338.577 600 491.6928849 108.3071151 98230.2699
18 98230.2699 600 491.1513493 108.8486507 98121.4212
19 98121.4212 600 490.607106 109.392894 98012.0283
20 98012.0283 600 490.0601416 109.9398584 97902.0885

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