Worked Solution
✓ VerifiedSub-part (i): Effective Cost of Factoring
Step 1 – Establish basic figures:
Credit Sales = 80% × ₹200 lakhs = ₹160 lakhs
Average Collection Period = (50% × 40 days) + (50% × 120 days) = 20 + 60 = 80 days
Average Debtors = ₹160 × (80 ÷ 360) = ₹35.556 lakhs
Step 2 – Determine the factor's advance:
The factor retains 10% as reserve and charges 2% commission, so the net advance = (100% − 10% − 2%) = 88% of average debtors.
Factor's Advance = 88% × ₹35.556 lakhs = ₹31.289 lakhs
Step 3 – Compute annual costs of factoring:
- Commission = 2% × ₹160 lakhs = ₹3.200 lakhs
- Interest on advance = ₹31.289 × 18% = ₹5.632 lakhs
- Total annual factoring cost = ₹8.832 lakhs
Step 4 – Effective cost:
Effective Cost = (Total Annual Cost ÷ Advance) × 100
= (₹8.832 ÷ ₹31.289) × 100 = 28.23% p.a.
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Sub-part (ii): Should the Firm Avail of Factoring?
A cost comparison is made between factoring and bank finance as the alternative source of working capital.
Total cost under Factoring:
- Commission = ₹3.200 lakhs
- Interest to factor = ₹5.632 lakhs
- Total = ₹8.832 lakhs
(Note: Bad debts and administration costs are borne by the factor under the factoring arrangement, so these are zero for the firm.)
Total cost under Bank Finance (14%):
- Interest on bank borrowing against debtors (₹35.556 × 14%) = ₹4.978 lakhs
- Bad debts (1% × ₹160 lakhs) = ₹1.600 lakhs
- Credit administration costs = ₹2.400 lakhs
- Total = ₹8.978 lakhs
Conclusion: The cost of factoring (₹8.832 lakhs) is lower than the cost of bank finance (₹8.978 lakhs) by ₹0.146 lakhs (≈ ₹14,600) per annum. Although the margin is narrow, the firm should avail of the factoring service as it results in a net saving.
Write it like this
1The skeleton
- Nail the credit sales and average debtor figure first — everything (commission, interest, bad debts) flows from these two numbers, so if you get them wrong in line 1, your entire answer cascades into wrong; write them clearly labelled before any cost table.
- Show the advance base explicitly: (100% − 10% reserve − 2% commission) = 88% — examiners want to see you consciously deduct BOTH reserve AND commission before applying the 18% rate; skipping this step loses the interest figure entirely.
- Split factoring costs into two lines: commission on total credit sales vs. interest on advance only — commission is charged on ₹160 lakhs (turnover base), interest is charged on ₹31.289 lakhs (advance base); mixing these bases is the #1 arithmetic trap.
- For Part (ii), build a two-column comparison table: Factoring vs. Bank Finance — examiner's eye goes straight to the final totals; a narrative paragraph buries the comparison and loses presentation marks even if the numbers are right.
- Explicitly state what FALLS AWAY under factoring — write 'bad debts = Nil (borne by factor)' and 'administration cost = Nil (avoidable)' in your bank-finance column as ₹0 counterparts; this signals you understand the conceptual shift, not just the arithmetic.
- End with a one-line verdict using the exact saving amount — 'Since cost of factoring (₹8.832 lakhs) < cost of bank finance (₹8.978 lakhs), the firm should avail of the factoring arrangement' with the ₹0.146 lakh saving stated; conclusions without a rupee figure score half marks.
2Examiner-rewarded phrases
3Common trap
Heads up — most students apply the 18% interest rate on the FULL average debtors (₹35.556 lakhs) instead of the NET advance after deducting both the 10% reserve AND the 2% commission. That single base error inflates your interest cost and makes the effective cost percentage completely wrong, even if your logic is perfect everywhere else.