Interest expense in year 2 = $5714
*The values might vary slighly since PVAF has been rounded off to 3 decimal places instead of 4.
Please comment in case of any issue and I will be happy to help.
Notes
Lets first calculate the value of loan at present date by using Present Value of Annuity formula:
= 35000*(5*2 half yearly periods)*(4%/2 semi annual interest rate)
= 35000*PVAF at 2% for 10 years = 35000*8.983 = $314405
To solve such questions, it is always better to prepare an amortization schedule
Months | EMI | Interest | Principal | Bal.principal |
Given | principal o/s * Interest Rate | EMI - Interest | previous bal - principal repaid | |
0 | $ 3,14,405 | |||
1 | $ 35,000.0 | $ 6,288.10 | $ 28,712 | $ 2,85,693 |
2 | $ 35,000.0 | $ 5,713.86 | $ 29,286 | $ 2,56,407 |
3 | $ 35,000.0 | $ 5,128.14 | $ 29,872 | $ 2,26,535 |
4 | $ 35,000.0 | $ 4,530.70 | $ 30,469 | $ 1,96,066 |
5 | $ 35,000.0 | $ 3,921.32 | $ 31,079 | $ 1,64,987 |
6 | $ 35,000.0 | $ 3,299.74 | $ 31,700 | $ 1,33,287 |
7 | $ 35,000.0 | $ 2,665.74 | $ 32,334 | $ 1,00,953 |
8 | $ 35,000.0 | $ 2,019.05 | $ 32,981 | $ 67,972 |
9 | $ 35,000.0 | $ 1,359.43 | $ 33,641 | $ 34,331 |
10 | $ 35,000.0 | $ 686.62 | $ 34,331 | $ 0 |
Total | $ 3,50,000 | $ 35,613 | $ 3,14,405 |
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