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The ladder / Level 2 · Dealer/ Business math

Stock financing and minimum-stock working capital

Channel finance interest, interest-free days, inventory days, and the working capital a brand's minimum stock and deposit lock up.

How numbers are rounded on these pages. Calculations are done at full precision and rounded only at the end, half up. Rupee amounts are rounded to the nearest rupee unless shown with paise, in which case to the nearest paisa. Percentages are shown to two decimal places, days to one decimal place, and payback periods in years to two decimal places. Interest for a number of days uses a 365-day year (simple interest). Break-even job counts and units needed to cover a cost are rounded up to the next whole number. All examples and quiz questions are Hypothetical: they show the method, not real prices or rates.

Dealer stock financing and inventory days

Many brands tie up with banks or finance companies so dealers can pay for stock on credit. This is usually called channel finance (or dealer or inventory finance): the lender pays the brand when stock is invoiced, and you repay within an agreed period. Interest is charged on the amount outstanding for the days it is outstanding, sometimes after an interest-free period that the brand pays for. Terms vary by brand and lender.

The longer a unit sits in your showroom, the more interest it eats out of its margin. That is why inventory days matter so much to a dealer.

The standard formulas

Interest = Amount financed × Rate × Days outstanding365
Per unitInterest per unit = Unit cost × Rate × Days held − Interest-free days365
Inventory days = Average stockCost of goods sold × 365
Whole business (approximation)Approximate yearly interest = Cost of goods sold365 × Chargeable days × Rate

Terms used

Channel finance
Credit from a bank or finance company, arranged with the brand, to pay for the dealer's stock.
Interest-free period
Days at the start for which the dealer pays no interest, if the scheme offers it.
Chargeable days
Days for which interest is actually charged: days held minus any interest-free days.
Inventory days
How many days, on average, stock sits before it is sold.

Worked examples

HypotheticalBasicInterest on a stock drawdown

₹10,00,000 of stock is financed at 11% a year for 45 days.

  • Interest = ₹10,00,000 × 11% × 45 ÷ 365 = ₹13,561.64

HypotheticalIntermediateWhat a slow unit costs

A two-wheeler costs the dealer ₹70,000 and earns a margin of ₹3,500. Channel finance is 11% a year with the first 15 days interest-free.

  • Sold on day 40: 25 chargeable days; interest = ₹70,000 × 11% × 25 ÷ 365 = ₹527.40, or 15.07% of the margin
  • Sold on day 75: 60 chargeable days; interest = ₹1,265.75, or 36.16% of the margin

HypotheticalAdvancedThe yearly interest bill and the value of faster stock

Yearly cost of goods sold is ₹6,00,00,000. Stock sits 50 days on average; the first 10 are interest-free; the rate is 10.5%. This is an approximation that assumes steady purchases.

  • Yearly interest ≈ ₹6,00,00,000 ÷ 365 × 40 × 10.5% = ₹6,90,410.96
  • If inventory days fall to 35 (25 chargeable): ≈ ₹4,31,506.85
  • Saving ≈ ₹2,58,904.11 a year

Working capital for a brand's minimum stock

Brands often require a dealer to keep a minimum stock: display models, the full range of colours or sizes, and a set of spares. That stock is money. Add what customers and finance companies owe you, subtract the credit the brand or lender gives you, and the difference is the working capital you must find yourself.

Add any security deposit held by the brand, and you have the total of your own money locked in. Multiply by what that money costs you to see the yearly price of the dealership's stock rules.

The standard formulas

Minimum stock value = Σ (Units required × Unit cost)
Working capitalWorking capital needed = Stock (at cost) + Receivables − Payables and stock finance
What it costsOwn money locked in = Working capital + Security depositYearly cost = Own money × Your cost of money

Terms used

Minimum stock
The stock a brand requires you to hold, by model, size or value.
Receivables
Money owed to you, for example by customers, finance companies or insurers.
Payables / stock finance
Credit the brand or a lender gives you for stock you have not yet paid for.
Working capital
Short-term assets (stock, receivables, cash) minus short-term liabilities (payables, short-term borrowing).
Cost of money
What your money costs you each year: the interest you pay, or what it could earn elsewhere.

Worked examples

HypotheticalBasicValue of the minimum stock

The brand requires 20 display units at ₹45,000 each and a spares kit worth ₹3,00,000.

  • Minimum stock = 20 × ₹45,000 + ₹3,00,000 = ₹12,00,000

HypotheticalIntermediateWorking capital needed

Stock ₹12,00,000; finance companies and customers owe ₹4,00,000; the brand gives credit of ₹5,00,000.

  • Working capital = ₹12,00,000 + ₹4,00,000 − ₹5,00,000 = ₹11,00,000

HypotheticalAdvancedWhat the stock rules cost each year

The brand also holds a security deposit of ₹5,00,000, interest-free. The dealer's money costs 12% a year, and each unit sold earns ₹4,000 margin.

  • Own money locked in = ₹11,00,000 + ₹5,00,000 = ₹16,00,000
  • Yearly cost = ₹16,00,000 × 12% = ₹1,92,000
  • Units he must sell just to cover it = ₹1,92,000 ÷ ₹4,000 = 48 units

Quiz: stock financing and minimum-stock working capital

Pick an answer to see at once whether it is right, with a short explanation. Each question takes one try; your score appears at the end. No answers are sent anywhere. (Without JavaScript, open “Show answer” under each question.)

  1. Stock financing · Basic₹8,00,000 of stock is financed at 12% a year for 30 days (365-day year). Interest?
    Show answer

    Answer: (b) ₹7,890.41

    ₹8,00,000 × 12% × 30 ÷ 365 = ₹7,890.41.

    Why the other options are wrong:

    • (a) That is a full year.
    • (c) That uses a 360-day year.
    • (d) A decimal slip.
  2. Stock financing · BasicAverage stock is ₹40,00,000 and yearly cost of goods sold is ₹2,92,00,000. What are your inventory days?
    Show answer

    Answer: (b) 50.0 days

    ₹40,00,000 ÷ ₹2,92,00,000 × 365 = 50.0 days.

    Why the other options are wrong:

    • (a) That is how many times stock turns over in a year, not days.
    • (c) That multiplies by 100 instead of 365.
    • (d) That uses a 360-day year.
  3. Stock financing · IntermediateA unit costing ₹50,000 is held 60 days. The first 15 days are interest-free; the rate is 12% a year. Interest on this unit?
    Show answer

    Answer: (c) ₹739.73

    45 chargeable days: ₹50,000 × 12% × 45 ÷ 365 = ₹739.73.

    Why the other options are wrong:

    • (a) That charges all 60 days.
    • (b) That charges only the interest-free days.
    • (d) That uses a 360-day year.
  4. Stock financing · IntermediateYour margin on a unit is ₹2,500 and its financing interest is ₹750. What share of the margin does interest take?
    Show answer

    Answer: (a) 30.00%

    ₹750 ÷ ₹2,500 × 100 = 30.00%.

    Why the other options are wrong:

    • (b) That divides the wrong way round.
    • (c) That is the share left, not the share taken.
    • (d) That forgets to multiply by 100.
  5. Stock financing · AdvancedYearly cost of goods sold is ₹3,65,00,000. On average each rupee of stock is charged interest for 30 days, at 11% a year. Approximate yearly interest?
    Show answer

    Answer: (b) ₹3,30,000

    Daily cost of goods = ₹1,00,000. × 30 days = ₹30,00,000 financed on average. × 11% = ₹3,30,000 a year.

    Why the other options are wrong:

    • (a) That is the average amount financed, not the interest.
    • (c) That charges 11% on a full year's purchases.
    • (d) That is one month's interest.
  6. Stock financing · AdvancedDaily cost of goods sold is ₹80,000. Faster selling cuts chargeable days from 40 to 25. Rate 10%. Yearly interest saving?
    Show answer

    Answer: (d) ₹1,20,000

    ₹80,000 × 15 days = ₹12,00,000 less financed. × 10% = ₹1,20,000 a year.

    Why the other options are wrong:

    • (a) That is the cash released, not the interest saved.
    • (b) That is the old interest bill.
    • (c) That is the new interest bill.
  7. Minimum stock · BasicThe brand requires 15 units at ₹60,000 each plus accessories worth ₹1,50,000. What is the minimum stock value?
    Show answer

    Answer: (b) ₹10,50,000

    15 × ₹60,000 + ₹1,50,000 = ₹10,50,000.

    Why the other options are wrong:

    • (a) That leaves out accessories.
    • (c) That adds one unit to the accessories.
    • (d) That treats accessories as another unit count.
  8. Minimum stock · BasicStock ₹8,00,000, receivables ₹3,00,000, payables ₹4,00,000. Working capital needed?
    Show answer

    Answer: (d) ₹7,00,000

    ₹8,00,000 + ₹3,00,000 − ₹4,00,000 = ₹7,00,000.

    Why the other options are wrong:

    • (a) Payables reduce what you must fund.
    • (b) That subtracts receivables and adds payables, the wrong way round.
    • (c) That subtracts receivables.
  9. Minimum stock · IntermediateStock ₹15,00,000 (of which ₹9,00,000 is on channel finance), receivables ₹5,00,000, other brand credit ₹2,00,000. Working capital you must fund yourself?
    Show answer

    Answer: (b) ₹9,00,000

    ₹15,00,000 + ₹5,00,000 − ₹9,00,000 − ₹2,00,000 = ₹9,00,000.

    Why the other options are wrong:

    • (a) That ignores all credit.
    • (c) That forgets the other brand credit.
    • (d) That adds the credit instead of subtracting it.
  10. Minimum stock · IntermediateYour own money locked in the dealership is ₹12,00,000 and it costs you 11% a year. Yearly cost?
    Show answer

    Answer: (a) ₹1,32,000

    ₹12,00,000 × 11% = ₹1,32,000 a year.

    Why the other options are wrong:

    • (b) A decimal slip.
    • (c) That adds 11% to the amount.
    • (d) That is one month.
  11. Minimum stock · AdvancedThe brand raises minimum stock by 10 units at ₹55,000. 60% is on channel finance at 11%; the other 40% is your own money, which costs you 13%. Extra yearly cost?
    Show answer

    Answer: (c) ₹64,900

    ₹5,50,000 × 60% × 11% = ₹36,300; ₹5,50,000 × 40% × 13% = ₹28,600; total ₹64,900.

    Why the other options are wrong:

    • (a) That charges everything at 13%.
    • (b) That charges everything at 11%.
    • (d) That swaps the two rates.
  12. Minimum stock · AdvancedYour stock rules cost ₹1,92,000 a year and each unit sold earns ₹4,000 margin. How many units must you sell just to cover it?
    Show answer

    Answer: (b) 48 units

    ₹1,92,000 ÷ ₹4,000 = 48 units.

    Why the other options are wrong:

    • (a) A slip of ten.
    • (c) That divides by ₹8,000.
    • (d) Not ₹1,92,000 ÷ ₹4,000.