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NISM V-D calculation lessons for the SIF distributor exam

Work through NAV, derivatives and fixed-income calculations before attempting practice questions. Each lesson includes a formula, an example and a common mistake to check. Original SIFPrime Academy teaching examples · Updated 9 October 2026.

NAV and investment returnCall and put payoff, profit and break-evenFutures profit and hedge directionBond duration and yield changes

NAV and investment return

NAV = (scheme assets − scheme liabilities) ÷ outstanding units

A scheme has ₹84 crore in assets, ₹4 crore in liabilities and 4 crore units. Net assets are ₹80 crore; NAV is ₹20. If liabilities increase by ₹1 crore while assets and units stay unchanged, NAV becomes ₹79 crore ÷ 4 crore = ₹19.75.

Keep assets, liabilities and units in consistent denominations. A crore divided by a crore cancels, leaving rupees per unit. NAV represents a unit's value, not a promised return. A low NAV does not by itself make a fund cheaper or better.

A unit bought at ₹20 and redeemed at ₹23 has a 15% holding-period return before charges and tax: (23 − 20) ÷ 20 × 100. If ₹1 was distributed during the holding period, total return is (23 − 20 + 1) ÷ 20 × 100 = 20%. A holding-period return is not automatically an annualised return.

Common mistake: Use net assets for NAV and the initial investment as the return denominator. Do not add income twice if the stated return already includes reinvested distributions.

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Call and put payoff, profit and break-even

Long call profit = max(expiry price − strike, 0) − premium. Long put profit = max(strike − expiry price, 0) − premium.

Buy a call at strike ₹500 for ₹20. At expiry price ₹550, payoff is ₹50 and profit is ₹30 per unit. At ₹510, payoff is ₹10 but profit is −₹10. At ₹480, payoff is zero and the ₹20 premium is lost. The break-even expiry price is ₹520.

A call gives its buyer the right to buy; a put gives its buyer the right to sell. Payoff excludes the initial premium; profit includes it. At expiry an in-the-money option can still produce a net loss if its intrinsic value is smaller than the premium paid.

Buy a put at strike ₹500 for ₹15. At expiry price ₹460, payoff is ₹40 and profit is ₹25 per unit. Break-even is ₹485, equal to strike minus premium. With 100 units, the profit is ₹2,500 before costs. These examples describe expiry outcomes; the option's price before expiry can include time value.

Common mistake: Check whether the question asks for payoff or profit, whether the position is long or short, and whether the quantity is units or lots. These examples ignore charges and taxes.

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Futures profit and hedge direction

Long futures profit = (exit price − entry price) × quantity. Short futures profit = (entry price − exit price) × quantity.

Buy a futures position at ₹1,200 and close at ₹1,170 for 50 units. Profit is (1,170 − 1,200) × 50 = −₹1,500. A short position opened and closed at the same prices earns ₹1,500 before costs.

Margin is collateral, not the full contract value or the maximum loss. Futures create exposure to the full position and daily mark-to-market movements can require additional funds. Never calculate the underlying position's profit by multiplying the price change by the margin deposit.

For a ₹20 lakh diversified equity portfolio with beta 1.2, the approximate market exposure is ₹24 lakh. If an index-futures contract is worth ₹6 lakh, an illustrative full beta hedge is four short contracts: 20 lakh × 1.2 ÷ 6 lakh. Actual hedging also needs contract, expiry, liquidity and basis-risk assessment.

Common mistake: A long equity portfolio typically uses short index futures to reduce broad downside exposure. A hedge reduces a specified risk; it does not guarantee a risk-free result.

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Bond duration and yield changes

Approximate percentage price change = −modified duration × yield change in decimal form

A bond has modified duration 5 and its yield rises by 0.40 percentage points. Convert the move to 0.004, then calculate −5 × 0.004 = −0.02, or approximately −2%. A ₹1,000 price would become approximately ₹980, ignoring convexity and other changes.

Fixed-rate bond prices generally move inversely to yields. Higher modified duration means greater price sensitivity to the same small yield move. Duration is an approximation; larger moves, convexity, credit-spread changes and embedded options can affect the actual result.

A ₹1,000 face-value bond with an 8% annual coupon pays ₹80 a year. If it trades at ₹960, current yield is 80 ÷ 960 × 100 = 8.33%. Coupon rate uses face value; current yield uses market price. Yield to maturity also considers timing and the gain or loss between purchase price and redemption value.

Common mistake: Do not enter 0.40 as the decimal yield change. A 0.40 percentage-point move is 0.004, or 40 basis points. Also distinguish Macaulay duration from modified duration.

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Use the lessons in a timed preparation plan

First solve each example on paper without looking at the answer. Then attempt the free V-D exam questions and record whether each error came from the concept, formula, sign or units. Revise the weak chapter before a full mock. These lessons support the syllabus; they do not replace the official workbook.

The exam has 150 questions in 180 minutes: an average of 72 seconds each. With +1 for a correct answer and −0.10 for a wrong answer, 95 correct, 25 wrong and 30 unanswered gives 92.5 marks. Check the official NISM exam page for current requirements.

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