EMI Simulations With Fixed and Floating Interest Rates

Here’s an EMI simulation with both fixed and floating interest rates using the same loan amount and tenure for comparison. This will help you visualize how EMI changes when choosing either option.


Loan Details Used for Simulation
  • Loan Amount: ₹50,00,000
  • Tenure: 20 years (240 months)
  • Fixed Interest Rate: 8.5% p.a.
  • Floating Interest Rate: 7.5% p.a. initially, adjustable ±1% depending on market

EMI Formula Recap

EMI=P×r×(1+r)n(1+r)n−1EMI = \frac{P × r × (1+r)^n}{(1+r)^n – 1}EMI=(1+r)n−1P×r×(1+r)n​

Where:

  • P = Loan amount
  • r = Monthly interest rate (annual rate ÷ 12 ÷ 100)
  • n = Tenure in months

📊 Fixed Rate EMI Calculation
  • r = 8.5 ÷ 12 ÷ 100 = 0.007083
  • n = 240

EMI=5000000×0.007083×(1+0.007083)240(1+0.007083)240−1EMI = \frac{5000000 × 0.007083 × (1+0.007083)^{240}}{(1+0.007083)^{240} – 1}EMI=(1+0.007083)240−15000000×0.007083×(1+0.007083)240​

EMI ≈ ₹43,433 per month


📊 Floating Rate EMI Calculations
Scenario A – Initial rate 7.5%
  • r = 7.5 ÷ 12 ÷ 100 = 0.00625
  • n = 240

EMI=5000000×0.00625×(1+0.00625)240(1+0.00625)240−1EMI = \frac{5000000 × 0.00625 × (1+0.00625)^{240}}{(1+0.00625)^{240} – 1}EMI=(1+0.00625)240−15000000×0.00625×(1+0.00625)240​

EMI ≈ ₹40,263 per month

Scenario B – Rate increases by 1% to 8.5% (same as fixed)

EMI ≈ ₹43,433 per month

Scenario C – Rate increases by 2% to 9.5%
  • r = 9.5 ÷ 12 ÷ 100 = 0.007916

EMI≈₹45,738permonthEMI ≈ ₹45,738 per monthEMI≈₹45,738permonth

Scenario D – Rate drops by 1% to 6.5%
  • r = 6.5 ÷ 12 ÷ 100 = 0.005417

EMI≈₹38,896permonthEMI ≈ ₹38,896 per monthEMI≈₹38,896permonth


Summary Table – EMI Comparison
ScenarioInterest RateEMI (₹)
Fixed Rate8.5%43,433
Floating (Initial)7.5%40,263
Floating +1%8.5%43,433
Floating +2%9.5%45,738
Floating −1%6.5%38,896

Key Insights

Initial EMI is lower with floating by ₹3,170 compared to fixed
If rates rise by 2%, EMI increases by ₹2,305
If rates drop by 1%, EMI decreases by ₹4,137
Fixed EMI is predictable, floating EMI depends on market changes
Choosing floating can save money if rates drop—but can be riskier if rates rise

✅ Key Observations:

✔ The fixed rate at 8.5% shows a steady, predictable repayment path.
✔ The floating rate at 7.5% starts lower but gradually diverges from the fixed option if rates rise.
✔ At 9.5% floating, repayments increase significantly over time.
✔ At 6.5% floating, cumulative payments remain much lower, highlighting potential savings if rates fall.

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