How much amount still needs to pay to clear this loan …what should be my emi to cover this loan in 80 months …at 10.75% per annum
python3 -c " P = 1378622.80 annual_rate = 10.75 r = annual_rate/12/100 n = 80 emi = P*r*(1+r)**n/((1+r)**n - 1) total_payment = emi*n total_interest = total_payment - P print('r=',r) print('EMI=',round(emi,2)) print('Total payment over 80 months=',round(total_payment,2)) print('Total interest=',round(total_interest,2)) "
How many months to clear at current EMI of ₹38,210?
python3 -c " import math P = 1378622.80 annual_rate = 10.75 r = annual_rate/12/100 emi = 38210.0 # n = ln(EMI/(EMI - P*r)) / ln(1+r) n = math.log(emi/(emi - P*r)) / math.log(1+r) print('r=', r) print('n (months) =', n) print('n rounded up =', math.ceil(n)) # verify with amortization simulation bal = P months = 0 total_interest = 0 while bal > 0: interest = bal * r principal = emi - interest if principal >= bal: # last payment last_payment = bal + interest total_interest += interest bal = 0 months += 1 break bal -= principal total_interest += interest months += 1 print('simulated months =', months) print('total interest (simulated) =', round(total_interest,2)) print('last payment amount =', round(last_payment,2)) "
| Scenario | EMI | Tenure | Total Interest |
|---|---|---|---|
| Current EMI | ₹38,210 | 44 months (~3.7 yrs) | ≈ ₹2,94,055 |
| Stretched to 80 months | ₹24,213 | 80 months (~6.7 yrs) | ≈ ₹5,58,424 |