NISM Certifications · NISM-Series-X-A: Investment Adviser (Level 1) · Debt Management and Loans
Rohan Mehta takes a loan of Rs 1,00,000 at 12% p.a. for one year, repayable in 12 equal monthly instalments, with interest charged at a flat rate on the original principal. Interest for the year is Rs 12,000 and the EMI is Rs 9,333.33. Compared with the stated flat rate, the effective annual cost of this loan is:
The effective cost is higher than 12%. Flat-rate interest is calculated on the original principal for the whole tenure, even though the outstanding balance falls with each EMI. The borrower effectively pays interest on money already repaid, so the reducing-balance equivalent rate is considerably above the stated flat rate.
- AExactly 12% since interest is charged on the original amount
- BLower than 12%, because principal is repaid over the year
- CHigher than 12%, because interest is charged on the original principal even as the outstanding balance fallsCorrect
- DCannot be compared without knowing the processing fee
Explanation
With flat-rate interest, Rs 12,000 is charged on Rs 1,00,000 for the full year although the outstanding balance declines with each EMI. The average balance is only about half the principal, so the effective rate on the reducing balance is much higher than 12% (roughly 21-22%). Hence the flat rate understates the real cost.
Did you get it right without looking?
One question tells you little. A timed set on Debt Management and Loans shows your real accuracy, how long you take and where you lose marks.
More Debt Management and Loans questions
- Rohit Mehra has a Rs 10,00,000 loan at 12% p.a. interest charged monthly on the reducing balance. Interest for the first month is computed a…
- Anita has a loan outstanding of Rs 8,00,000 on which the lender charges 10% p.a. She also has a fixed deposit earning a post-tax 6% p.a. and…
- Anil borrows Rs 1,00,000 for 1 year at 12% p.a., repayable in 12 equal monthly instalments of principal (Rs 8,333.33 each) with interest cha…
- Meera Iyer earns a net monthly income of Rs 80,000. Her existing EMIs are Rs 12,000 (car loan) and Rs 8,000 (personal loan). Her adviser use…
- Ms. Kavita Rao has a home loan with an outstanding principal of Rs 40,00,000 at 8.5% per annum on a floating rate linked to an external benc…
- Which of the following best describes the Fixed Obligation to Income Ratio (FOIR) used by lenders when assessing a borrower's loan eligibili…