In: Finance
What is the total interest for a $1,500 1-year simple interest amortized loan at 6% interest, with monthly payments
| Monthly payment | = | [P × R × (1+R)^N ] / [(1+R)^N -1] | |
| Using the formula: | |||
| Loan amount | P | $ 1,500 | |
| Rate of interest per period: | |||
| Annual rate of interest | 6.000% | ||
| Frequency of payment | = | Once in 1 month period | |
| Numer of payments in a year | = | 12/1 = | 12 |
| Rate of interest per period | R | 0.06 /12 = | 0.5000% |
| Total number of payments: | |||
| Frequency of payment | = | Once in 1 month period | |
| Number of years of loan repayment | = | 1.00 | |
| Total number of payments | N | 1 × 12 = | 12 |
| Period payment using the formula | = | [ 1500 × 0.005 × (1+0.005)^12] / [(1+0.005 ^12 -1] | |
| Monthly payment | = | $ 129.10 | |
| Loan payment | $ 129.10 | ||
| Real estate taxes | $ 515.00 | ||
| Insurance | $ 41.67 | ||
| Total monthly payment | $ 685.77 | ||
| Total interest pay: | |||
| Total payments | = | 129.1 × 12 | |
| $ 1,549.20 | |||
| Less principle amount | $ 1,500.00 | ||
| Interest payment- Finance charge | $ 49.20 |
Answer is $49.20
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