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When a company borrows money — through debentures, term loans, or bonds — it pays interest. But here's the twist that makes Cost of Debt (Kd) unique: interest is a tax-deductible expense. So the government effectively subsidises part of the borrowing cost. That's why we always calculate Kd on an after-tax basis.

Think of it this way: Rajesh & Co. Pvt. Ltd. pays ₹12 lakh in interest annually. At a 30% tax rate, this saves ₹3.6 lakh in tax. The real cost to the company is only ₹8.4 lakh. That's the after-tax cost of debt — and that's what goes into your WACC calculation.

There are two flavours the ICAI tests you on. For irredeemable (perpetual) debt — debt that never needs to be repaid — the formula is straightforward: Kd = I(1 − t) / NP, where I = annual interest, t = tax rate, and NP = net proceeds (issue price minus flotation/underwriting costs). For redeemable debt — far more common in exams — use the approximation formula: Kd = [I(1−t) + (RV − NP)/n] / [(RV + NP)/2], where RV = redemption value and n = years to maturity. The numerator captures the after-tax interest plus the annual capital gain/loss on the debt; the denominator is the average capital invested by the lender.

Net Proceeds (NP) is the amount the company actually receives after deducting issue expenses. If debentures are issued at a discount or involve underwriting fees, NP < face value. This is a favourite exam trick — don't confuse face value with NP. Also note: if debt is issued at a premium, NP > face value, which lowers Kd. If redeemed at a premium, RV > face value, which raises Kd. Both adjustments flow through the formula automatically. This topic is asked frequently as a 5–8 mark numerical in Paper 6.

📊 Worked example

Example 1 — Irredeemable Debentures

Rajesh & Co. Pvt. Ltd. issues 12% debentures with a face value of ₹1,00,000. They are issued at a 5% discount and flotation costs are 2% of the issue price. Corporate tax rate is 30%. Calculate Kd.

| Item | Calculation | Amount |

|---|---|---|

| Face Value | — | ₹1,00,000 |

| Issue Price (5% discount) | ₹1,00,000 × 95% | ₹95,000 |

| Flotation Costs | ₹95,000 × 2% | ₹1,900 |

| Net Proceeds (NP) | ₹95,000 − ₹1,900 | ₹93,100 |

| Annual Interest (I) | ₹1,00,000 × 12% | ₹12,000 |

Kd = I(1 − t) / NP = ₹12,000 × (1 − 0.30) / ₹93,100 = ₹8,400 / ₹93,100

Kd = 9.02%

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Example 2 — Redeemable Debentures

Ms. Iyer's company issues 10% debentures (face value ₹1,000 each) at ₹950, redeemable at par after 5 years. No flotation costs. Tax rate 35%.

| Item | Value |

|---|---|

| Annual Interest (I) | ₹1,000 × 10% = ₹100 |

| After-tax Interest | ₹100 × (1 − 0.35) = ₹65 |

| Net Proceeds (NP) | ₹950 |

| Redemption Value (RV) | ₹1,000 |

| Capital gain amortised | (₹1,000 − ₹950) / 5 = ₹10 per year |

| Average capital | (₹950 + ₹1,000) / 2 = ₹975 |

Kd = (₹65 + ₹10) / ₹975 = ₹75 / ₹975

Kd = 7.69%

⚠️ Common exam mistakes

  • Using pre-tax interest cost instead of after-tax: Students write Kd = I/NP and stop there. Always multiply I by (1 − t) because interest saves tax. The examiner specifically checks for this deduction.
  • Using face value as Net Proceeds: If the question says 'issued at ₹950' or 'flotation costs of 2%', NP ≠ face value. Always compute NP = Issue Price − Flotation Costs before plugging into the formula.
  • Confusing redemption premium with issue discount: If debentures are redeemable at a premium (e.g., at ₹1,050), your RV = ₹1,050, not ₹1,000. This increases the numerator and raises Kd — a very common exam trap.
  • Applying the redeemable formula to perpetual/irredeemable debt: Perpetual debt has no RV or n, so the approximation formula breaks down. Use Kd = I(1−t)/NP only for irredeemable debt.
  • Forgetting that tax benefit applies only when the company is profitable: Some questions mention the company has a tax loss or is in a tax-exempt period — in that case t = 0 and Kd = I/NP. Don't blindly apply the tax rate given.
📖 Reference: Cost of Debt — Institute of Chartered Accountants of India
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