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NISM V-D — Formula & Quick-Revision Sheet / फ़ॉर्मूला व त्वरित-रिवीजन शीट

For the Mutual Fund – Specialized Investment Fund (SIF) Distributors exam, per the official workbook (Version March 2026). The derivatives maths below is where most candidates lose marks — master it, then drill the free mock tests.

Exam pattern / परीक्षा पैटर्न

150 questions × 1 mark 180 minutes Pass: 60% (90 marks) Negative marking: −0.10 per wrong 22 chapters · 3 modules
Strategy: a blank costs nothing, a wrong answer costs 0.10 — guess only after eliminating options. SIF minimum investment: ₹10 lakh per investor (PAN level, across the SIF’s strategies).

Mutual fund core formulas / म्यूचुअल फंड मूल सूत्र

NAV / AUM / UnitsNAV = (Assets − Liabilities) ÷ Units · AUM = NAV × Units · Units = Amount ÷ NAV
Redemption priceNAV × (1 − exit load%); sale price = NAV (no entry load)
ReturnsSimple = (Sell − Buy) ÷ Buy · Total = (Gain + Income) ÷ Cost · HPR = (Interest + Gain) ÷ Price
CAGR(FV ÷ PV)^(1/years) − 1 — doubles in 3 yrs ⇒ ≈ 26%
Real / post-taxReal ≈ Nominal − Inflation · Post-tax = Nominal × (1 − tax)
Weighted returnΣ (weightᵢ × returnᵢ); Beta move ≈ β × market; TRI ≈ PRI + dividend yield
Tax (equity fund)STCG (≤12 m) 20%; LTCG (>12 m) 12.5% above ₹1.25 lakh/yr; debt funds at slab; dividend at slab + 10% TDS > ₹10,000; stamp duty 0.005% buy / 0.015% transfer; STT only on equity redemption/sale
TimelinesNFO ≤15 days · allot/refund 5 business days · KIM 6-monthly · CAS monthly/half-yearly · grievance 21 days · attribute-change exit 30 days · 3 holders · 10 nominees · TER: index/ETF 0.90%, FoF 0.90/2.10/1.85%

Futures / फ्यूचर्स

Contract valueFutures price × Lot size (index derivative value ≥ ₹15 lakh at introduction, lot set for ₹15–20 lakh)
Initial marginMargin% × Contract value — paid by BOTH buyer and seller; higher for volatile underlyings
Daily MTM(Today’s settlement − previous reference) × Lot — losers pay, gainers receive, daily
BasisSpot − Futures (negative when futures > spot); becomes zero at expiry (convergence)
Cost of carry (equity)Financing interest − Dividend; break-even futures = Spot + net carry
Fair futures priceF = S × (1 + r − q)^(days/365) (r = financing, q = yield) — only the NET carry counts
ArbitrageTraded > fair ⇒ cash-and-carry (buy cash, sell futures); traded < fair ⇒ reverse cash-and-carry (sell cash, buy futures)
Calendar spreadFar-month − Near-month price = carry between the months; long one month + short another; low-risk, both legs together
Payoff shapeLinear; long gains when price rises, short gains when price falls — both unlimited either way
Expiry (equity)NSE: Tuesday; BSE: Thursday (SEBI uniform expiry framework); positions compulsorily settled at the cash close

Options / ऑप्शंस

Intrinsic valueCall: max(Spot − Strike, 0) · Put: max(Strike − Spot, 0) — never negative; ATM/OTM = 0
Time valuePremium − Intrinsic value (ATM/OTM premium is ALL time value)
Break-evenCall BEP = Strike + Premium · Put BEP = Strike − Premium (same BEP for buyer and writer)
Long put max profitStrike − Premium (index can only fall to zero)
Risk profileBuyer: loss ≤ premium, no margin. Writer: max gain = premium, loss large/unlimited, margin required, can be assigned
Total premiumPremium per unit × Lot size × Lots
MoneynessCall ITM when Spot > Strike; Put ITM when Spot < Strike; ATM = strike closest to spot
India specificsAll index and stock options are EUROPEAN (exercise only at expiry); index options cash-settled at the closing spot; one weekly-expiry benchmark index per exchange

Spreads / स्प्रेड

StrategyBuildNumbers
Bull CALL spreadBuy lower-strike call, sell higher-strike call (net DEBIT)BEP = lower strike + net premium · Max profit = (X₂ − X₁) − net premium · Max loss = net premium
Bull PUT spreadSell higher-strike put, buy lower-strike put (net CREDIT)Max profit = net credit · BEP = higher strike − net credit · Max loss = (X₂ − X₁) − net credit
Bear CALL spreadSell lower-strike call, buy higher-strike call (net credit)Mirror of the bull call spread
Bear PUT spreadBuy higher-strike put, sell lower-strike put (net debit)Mirror of the bull put spread
TypesVertical = same expiry, different strikes · Horizontal/calendar = same strike, different expiries · Diagonal = both differ · All spreads: limited profit, limited loss

Hedging & interest-rate derivatives / हेजिंग व IRF

Portfolio hedge ratio(Portfolio value × Beta) ÷ (Futures price × Lot) = index futures to SHORT
Bond hedge lotsPosition value ÷ ₹2,00,000 (single bond IRF notional; lot = 2,000 units at ₹100)
Direction rulesRates ↑ expected → SELL bond futures / BUY puts (bond prices fall). Rates ↓ expected → BUY bond futures / BUY calls. MIBOR (rate) futures are opposite: rate ↑ → go LONG MIBOR futures
Hedge logicLong hedge locks a future PURCHASE price; short hedge locks a future SALE price; loss on one leg ≈ gain on the other (some basis risk stays)
Duration hedgingA multi-bond portfolio is hedged on weighted-average modified duration (duration-based hedge ratio)
IRF specificsTick ₹0.0025 (tick value = 0.0025 × 2,000 = ₹5); monthly single-bond G-sec futures expire the LAST THURSDAY; 91-day T-bill futures are CASH settled; the successful product is the cash-settled 10-yr GOI single bond future (Dec 2013); CBIF value ≥ ₹2 lakh
Borrower’s hedgeA future borrower fearing a rate rise SELLS IRF — the futures gain reduces the effective borrowing cost

Now practise it → Free NISM V-D Mock Tests

Aumsetu — free tools for Mutual Fund Distributors. This sheet is an independent, free study aid based on the publicly published NISM-Series-V-D workbook (Version March 2026). It is not affiliated with, endorsed by, or a product of NISM or SEBI. Always study the official workbook for the exam.