Effective Interest Rate on a Loan with Transaction Costs — Amortised Cost Under Ind AS 109

If you have ever looked at a loan in the financial statements of a company and wondered why the interest expense is different from the coupon rate printed on the loan agreement, you have just bumped into the concept of amortised cost and the Effective Interest Rate (EIR). This is one of the most important — and most examined — topics in CA Final Financial Instruments under Ind AS 109. Let us break it down, step by step, in plain language.

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Why Does EIR Exist?

When a company borrows money, the lender often charges upfront fees — processing fees, origination fees, legal costs, or similar items. These are called transaction costs. Under Ind AS 109, these costs are not expensed immediately. Instead, they are adjusted against the loan amount to arrive at the initial carrying value.

The EIR is then the rate that exactly discounts all future cash flows (interest payments + principal repayment) back to that adjusted carrying value. Think of EIR as the true all-in cost of borrowing, not just the coupon rate.

> Key idea: EIR spreads the total cost of the loan (coupon interest + transaction costs) over the loan's life in a mathematically consistent way.

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The Core Formula Logic

You do not need a fancy formula to understand this. You need this simple principle:

Opening Carrying Amount × EIR = Finance Cost for the year

And the carrying amount moves like this each year:

Closing Carrying Amount = Opening Carrying Amount + Finance Cost (Opening CA × EIR) − Cash paid (coupon/instalment)

At the end of the loan term, the closing carrying amount must equal zero (for a fully repaid loan) or the principal outstanding.

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Step-by-Step Worked Logic

Let us work through the logic with a constructed example (numbers chosen for clarity, not copied from any text).

Situation

  • A company borrows ₹10,00,000 on 1 April.
  • Coupon (stated) interest rate: 8% per annum, paid annually.
  • Loan tenure: 3 years, principal repaid at end of Year 3.
  • Transaction costs paid upfront by the borrower: ₹30,000 (processing fee).

Step 1 — Find the Initial Carrying Amount

Under Ind AS 109, for a financial liability measured at amortised cost, transaction costs reduce the initial carrying amount.

Initial Carrying Amount = ₹10,00,000 − ₹30,000 = ₹9,70,000

(Note: For a financial asset, transaction costs are added; for a financial liability, they reduce proceeds received.)

Step 2 — Identify the Cash Flows

| Year | Cash outflow | |------|--------------| | 1 | ₹80,000 (8% × ₹10,00,000) | | 2 | ₹80,000 | | 3 | ₹80,000 + ₹10,00,000 = ₹10,80,000 |

Step 3 — Find the EIR

The EIR is the rate r such that:

9,70,000 = 80,000/(1+r) + 80,000/(1+r)² + 10,80,000/(1+r)³

You solve this by trial and interpolation (or financial calculator / Excel IRR function).

  • Try r = 9%: PV ≈ ₹9,74,700 (slightly high)
  • Try r = 9.2%: PV ≈ ₹9,68,900 (slightly low)
  • Interpolate → EIR ≈ 9.1% (approximately)

In the exam, the EIR is usually given, or you use trial and error + interpolation as shown above.

Step 4 — Build the Amortisation Table

| Year | Opening CA (₹) | Finance Cost @ EIR (₹) | Cash Paid (₹) | Closing CA (₹) | |------|----------------|------------------------|---------------|----------------| | 1 | 9,70,000 | 88,270 | 80,000 | 9,78,270 | | 2 | 9,78,270 | 89,023 | 80,000 | 9,87,293 | | 3 | 9,87,293 | 89,843* | 10,80,000 | ~NIL |

Small rounding adjustments are normal in exam answers.

What you observe:

  • Finance cost each year (₹88,270 / ₹89,023 / ₹89,843) is higher than the coupon (₹80,000) because the transaction cost is being spread over 3 years.
  • The carrying amount rises above ₹9,70,000 in the middle years and returns to ₹10,00,000 just before the final repayment — then drops to zero after repayment. This makes perfect sense.

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Common Exam Mistakes to Avoid

  • Confusing EIR with coupon rate. The coupon fixes cash outflows; EIR determines the P&L charge.
  • Forgetting to adjust transaction costs before computing EIR.
  • Using simple interest instead of compounding in the amortisation table.
  • Treating transaction costs as an expense in Year 1 — that is old IGAAP thinking, not Ind AS.
  • Mixing up asset vs liability treatment — for assets, transaction costs are added; for liabilities, they reduce proceeds.

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Quick Recap — The 4-Step Process

  1. Adjust the loan amount for transaction costs → Initial Carrying Amount.
  2. List all future cash flows (coupons + principal).
  3. Calculate EIR — the IRR of those cash flows starting from the Initial Carrying Amount.
  4. Build the amortisation schedule: Opening CA × EIR = Finance Cost; adjust for cash paid.

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A Word on Ind AS 109 Classification

Amortised cost applies only when the financial liability is not designated at Fair Value Through Profit or Loss (FVTPL). Most plain-vanilla loans and borrowings qualify for amortised cost measurement — verify specific classification rules in the latest ICAI study material as guidance notes are periodically updated.

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FAQs

Q1. Is EIR the same as IRR? Yes, conceptually. EIR is simply the Internal Rate of Return of the loan's cash flows, computed from the initial carrying amount (net of transaction costs). The terms are used interchangeably in this context.

Q2. What if transaction costs are paid by the lender, not the borrower? If the borrower receives proceeds net of costs (e.g., lender deducts fees before disbursement), the initial carrying amount is still the net amount received. The EIR calculation logic remains identical.

Q3. Can EIR ever be lower than the coupon rate? For a financial liability with transaction costs borne by the borrower, EIR is always higher than the coupon rate because costs add to the total burden. For a financial asset where transaction costs increase the carrying amount, EIR is lower than the stated return. The direction depends on whether costs increase or decrease the initial carrying amount.

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Understanding EIR is a skill that builds with practice, not just reading. To organise your CA Final preparation systematically — topic by topic, day by day — use the free day-by-day study planner at caparveensharma.com/free-planner?src=article. And for case-scenario practice questions on Ind AS 109 and other Financial Instruments topics, explore the courses and free resources at caparveensharma.com — where 36 years of teaching experience is distilled into every lesson.