NISM Certifications · NISM-Series-XV: Research Analyst
Fundamental Analysis of Commodities: formula sheet
Key formulas
- Futures profit or loss (long)
- Profit = (Selling price − Buying price) × Quantity
- A buyer of futures gains when the price rises. A seller (short) gains when the price falls, so the sign reverses.
- Futures profit or loss (short)
- Profit = (Selling price − Buying price) × Quantity
- Here the short position sells first at the higher price and buys back later. Quantity equals lot size × number of lots.
- Call option buyer payoff at expiry
- Payoff = max(Spot − Strike, 0) − Premium
- Maximum loss is the premium paid. Profit is unlimited in theory.
- Put option buyer payoff at expiry
- Payoff = max(Strike − Spot, 0) − Premium
- Maximum loss is the premium paid.
- Basis
- Basis = Spot price − Futures price
- Check the sign convention used in the question. Basis moves towards zero as expiry nears.
- Total supply
- Total supply = Opening stocks + Production + Imports
- Supply available in the period, before any use.
- Total demand (use)
- Total use = Domestic consumption + Exports
- This total is the denominator of the stocks-to-use ratio.
- Closing stocks
- Closing stocks = Total supply − Total use
- Positive means a surplus carried forward; a fall in stocks means use exceeded new supply.
- Stocks-to-use ratio
- Stocks-to-use ratio = Closing stocks ÷ Total use × 100
- Total use = domestic consumption + exports. Expressed as a percentage. Lower means tighter market and upward price pressure; higher means comfortable supply.
- Price direction rule
- Supply ↓ or Demand ↑ → price ↑; Supply ↑ or Demand ↓ → price ↓
- Holds when other factors are unchanged (ceteris paribus).
- Rupee price of an imported commodity
- Rupee price ≈ Dollar price × USD/INR rate (before duties and costs)
- If USD/INR rises (rupee weakens), the rupee price rises when the dollar price is unchanged.
- Landed cost with import duty
- Landed cost = Import price in ₹ + Import duty
- Higher duty raises the domestic price. Lower duty reduces it.
- Export ban rule
- Export ban → higher domestic supply → lower domestic price
- Global prices tend to rise as supply from that country leaves the market.
- MSP rule
- MSP acts as a floor for the price of notified crops
- It supports farm-gate prices. It does not cap the market price.
- Interest rate rule
- Higher rates → higher cost of carry → pressure on commodity prices
- A tendency, not a certainty. Check what the question states.
- Production
- Production = Area sown (harvested) × Yield per hectare
- A fall in either acreage or yield lowers output. Higher acreage can be offset by lower yield.
- Total supply
- Total supply = Opening stock + Production + Imports
- Opening stock is the carry-in from the previous season.
- Ending stock
- Ending stock = Total supply − (Domestic consumption + Exports)
- A falling stocks-to-use ratio is generally price-supportive; a rising one is price-negative.
- Stocks-to-use ratio
- Stocks-to-use = Ending stock ÷ Total use × 100
- Lower ratio means a tighter market and higher price risk.
- Crop seasons
- Kharif: sown June-July, harvested Oct-Nov. Rabi: sown Oct-Dec, harvested Mar-Apr
- Approximate windows; exact timing varies by crop and region.
- Base metals main driver
- Industrial demand (esp. China) + inventories + supply costs
- Falling warehouse stocks with firm demand is price-supportive; rising stocks with weak demand is negative.
- Gold main drivers
- Lower real interest rates + weaker US dollar + higher risk or inflation fear → gold tends to rise
- Tendency, not a rule that always holds. Real rate = nominal rate − inflation (approximate).
- Silver driver mix
- Silver = precious-metal drivers + industrial demand drivers
- Usually more volatile than gold.
- Crude oil drivers
- Price ↑ when supply cuts (OPEC and allies, disruption) or demand growth rises; Price ↓ when supply rises or demand slows
- Inventory builds are bearish; inventory draws are bullish.
- Natural gas drivers
- Weather-driven demand + storage levels + LNG supply
- Seasonal and regional; not tied to crude oil one-for-one.
- Rupee price of an imported commodity
- Domestic price ≈ international price (in ₹ terms, at the exchange rate) + duties and costs
- A weaker rupee raises the rupee price even if the dollar price is unchanged.
- Cost of carry pricing (simple interest)
- F = S + financing + storage + insurance − convenience yield
- All items are for the period until futures expiry. F is futures price, S is spot price.
- Cost of carry pricing (continuous compounding)
- F = S × e^((r + u − y) × t)
- r is interest rate, u is storage cost as a rate, y is convenience yield rate, t is time in years. Use only if the question gives this form.
- Financing cost (simple)
- Financing cost = S × r × t
- t in years, for example 3 months = 0.25.
- Basis
- Basis = Spot price − Futures price
- Check the question's definition. Some sources use futures minus spot.
- Contango
- Futures price > Spot price (basis negative)
- Normal when carry costs are positive and convenience yield is small.
- Backwardation
- Futures price < Spot price (basis positive)
- Often seen when supply is tight and convenience yield is high.
- Convergence
- Basis → 0 at expiry
- Futures and spot prices come together on the delivery date.
Quick revision
- Commodity prices are driven mainly by supply, demand and stock levels.
- Fundamental analysis looks at economic drivers; technical analysis looks at price and volume patterns.
- Weather, sowing area and yield drive agricultural supply.
- Agricultural supply is seasonal, so prices often show seasonal patterns.
- Industrial activity is a major demand driver for base metals.
- Geopolitical events and supply decisions by producers strongly affect energy prices.
- A weaker rupee tends to raise the rupee price of imported commodities.
- Government policies such as export bans, import duties and support prices can shift prices.
- Cost of carry is the cost of holding the physical commodity, such as storage, insurance and financing.
- Basis is the difference between the spot price and the futures price.
- Futures prices tend to be linked to spot prices plus the cost of carry.
- Read each option for direction words like increase, decrease and unchanged before you answer.
Common mistakes
- Saying a futures buyer has only a right to buy. Fix: Futures bind both parties. Only the option buyer holds a right without obligation.
- Treating futures as customised contracts. Fix: Exchange-traded futures are standardised in quantity, quality and expiry. Only price is negotiated.
- Dividing closing stocks by production instead of total use. Fix: The ratio is closing stocks ÷ total use (consumption + exports). Write the formula before you calculate.
- Treating a rise in stocks as always bullish for price. Fix: Higher stocks mean more supply cushion, which is bearish for price, other things equal.
- Saying an export ban raises domestic prices. Fix: A ban keeps more supply inside India, so domestic prices fall. The scarcity is in the global market.
- Treating MSP as a maximum price. Fix: MSP is a floor. Market prices can be above it.
- Treating total rainfall as the only monsoon factor. Fix: Remember timing and regional distribution matter too. A normal total can still hurt a crop if a dry spell hits a critical stage.
- Mixing up kharif and rabi crops. Fix: Link kharif to monsoon sowing (paddy, cotton, soybean, maize) and rabi to winter sowing (wheat, mustard, chana).
- Saying gold rises when interest rates rise. Fix: Gold pays no yield. Higher real rates raise the cost of holding it, so they are usually negative for gold.
- Treating silver exactly like gold. Fix: Silver also has large industrial demand. It responds to growth news and is usually more volatile.
Exam tips
- Expect definition questions: spot, futures, options, hedger, speculator. Learn each in one line.
- Watch for questions that swap rights and obligations of option buyers and sellers.
- Know that SEBI regulates commodity derivatives and exchanges provide the trading platform.
- Do the arithmetic fully and check the sign. Negative marking makes careless slips costly.
- Learn the classification of common commodities: agricultural, base metals, precious metals and energy.
- Memorise the denominator: stocks-to-use uses total use (consumption + exports), not production.
- Questions often give a balance sheet and ask for closing stocks first. Do that step explicitly.
- When two options differ only in direction, apply the supply-down or demand-up equals price-up rule.