Master loan interest calculations. Understand flat rates, reducing balance, APR, and how banks determine your rate. Make informed borrowing decisions.
Interest is the cost of borrowing money - what you pay the lender for using their funds. In Kenya, interest rates vary widely from 6% (government loans) to over 100% APR (some mobile loans). Understanding how interest is calculated helps you compare loans accurately and avoid paying more than necessary.
13-18%
Per annum (yearly)
3-15%
Per month (30 days)
6-9%
Per annum (yearly)
Flat rate calculates interest on the original principal amount throughout the entire loan period, regardless of how much you've repaid. This method is simpler but results in higher total interest costs.
Interest = Principal ร Rate ร Time
The interest for the entire period is calculated upfront and divided equally across all monthly payments.
Loan Amount: KES 100,000
Interest Rate: 10% per annum (flat)
Loan Period: 2 years (24 months)
Total Interest: 100,000 ร 10% ร 2 = KES 20,000
Total Repayment: 100,000 + 20,000 = KES 120,000
Monthly Payment: 120,000 รท 24 = KES 5,000
Reducing balance calculates interest only on the outstanding principal. As you make payments and reduce the principal, the interest charged also decreases. This is the most common method used by Kenyan banks and is significantly cheaper than flat rate.
Interest each month = Outstanding Balance ร (Annual Rate รท 12)
Each payment reduces the principal, so next month's interest is calculated on a smaller balance.
Loan Amount: KES 100,000
Interest Rate: 10% per annum (reducing balance)
Loan Period: 2 years (24 months)
Monthly Interest Rate: 10% รท 12 = 0.833%
Monthly Payment (EMI): KES 4,614
Total Repayment: 4,614 ร 24 = KES 110,736
Total Interest: 110,736 - 100,000 = KES 10,736
Savings vs Flat Rate: KES 9,264 (46% less interest!)
| Month | Balance | Interest | Principal | Payment |
|---|---|---|---|---|
| 1 | 100,000 | 833 | 3,781 | 4,614 |
| 2 | 96,219 | 802 | 3,812 | 4,614 |
| 3 | 92,407 | 770 | 3,844 | 4,614 |
Notice how interest decreases each month as the balance reduces.
Some lenders advertise "10% interest" without specifying flat or reducing balance. A 10% flat rate loan costs almost DOUBLE a 10% reducing balance loan. Always clarify before signing.
APR represents the true cost of a loan, including both interest and all mandatory fees. It's the most accurate way to compare different loan offers.
Advertised: "Personal Loan at 14% p.a."
Loan Amount: KES 200,000
Nominal Interest: 14% per annum
Processing Fee: 2.5% = KES 5,000
Insurance: 1% annually = KES 2,000/year
Tenure: 2 years
Interest Cost: ~KES 30,000 (reducing balance)
Processing Fee: KES 5,000
Insurance (2 years): KES 4,000
Total Cost: KES 39,000
Effective APR: ~17.2% (not 14%!)
Mobile loans often advertise monthly rates which seem low but translate to very high annual rates:
Note: Note: Simple multiplication (ร12) gives rough APR. Actual APR with compounding is slightly higher.