NISM Certifications · NISM-Series-V-A: Mutual Fund Distributors
Net Asset Value, Total Expense Ratio and Pricing of Units: formula sheet
Key formulas
- NAV per unit
- NAV = (Market value of investments + Other assets − Liabilities and accrued expenses) ÷ Units outstanding
- Use net assets in the numerator. Units outstanding is the figure at the valuation date.
- Net assets
- Net assets = Total assets − Total liabilities
- Total assets include accrued income and receivables. Liabilities include accrued expenses and payables.
- Units from an investment
- Units allotted = Amount invested ÷ Applicable NAV
- Any exit load or stamp duty is handled separately. Check whether the question asks for the net amount invested.
- Redemption value
- Redemption value = Units × NAV, less exit load if any
- Exit load is a percentage of the NAV or of the redemption value.
- Percentage change in NAV
- Change % = (Closing NAV − Opening NAV) ÷ Opening NAV × 100
- This is the basic return over the period, before considering dividends.
- NAV per unit
- NAV = (Market value of investments + Receivables + Accrued income + Other assets − Accrued expenses − Payables − Other liabilities) ÷ Units outstanding
- Net assets divided by units. Accrued income adds to NAV. Accrued expenses reduce it.
- Traded equity valuation
- Value = Last quoted closing price on the AMC's selected primary exchange × Number of shares
- Cost price is never used for a traded security.
- Non-traded equity
- No trade on any exchange in the 30 days before the valuation date → value at fair value per the AMC's approved policy
- A trade in the last 30 days means the security counts as traded.
- Debt and money market securities
- Residual maturity above 30 days → price from AMFI-appointed valuation agencies
- AMCs do not choose their own prices for these.
- Amortisation (residual maturity up to 30 days)
- Daily accretion = (Redemption value − Current value) ÷ Days remaining
- Straight-line. Value rises by an equal amount each day until maturity.
- Dividend recognition
- Equity dividend is recorded as income on the ex-dividend date
- Not the record date and not the payment date.
- Sale price (purchase price)
- Sale price = NAV + Entry load = NAV (entry load is nil)
- Entry load has been banned since 1 August 2009, so you pay the applicable NAV.
- Repurchase price (redemption price)
- Repurchase price = NAV − Exit load = NAV × (1 − exit load %)
- Exit load is a percentage of NAV, not of the amount invested.
- Redemption proceeds
- Proceeds = Units redeemed × Repurchase price
- Tax and other statutory deductions, if any, come on top of this.
- Units allotted
- Units = Amount invested ÷ Applicable NAV
- With no entry load, the whole amount buys units (ignoring stamp duty on purchase).
- Exit load treatment
- Exit load is credited to the scheme
- It benefits the continuing unitholders, subject to SEBI's permitted limit for AMC retention.
- Cut-off for most schemes (purchase and redemption)
- Valid application before 3:00 pm → NAV of that day; after 3:00 pm → next business day's NAV
- For purchases, funds must also be available for utilisation before the cut-off. Applies to equity, debt and similar schemes other than liquid and overnight for purchases.
- Purchase in liquid and overnight funds
- Application up to 1:30 pm and funds available before cut-off → NAV of the day immediately preceding the day of receipt
- After 1:30 pm, a later day applies. Remember this is the previous day's NAV, not the same day's.
- Redemption in liquid funds
- Application before 3:00 pm → closing NAV of the day of receipt; after 3:00 pm → next business day's NAV
- Redemption cut-off is 3:00 pm, unlike the 1:30 pm purchase cut-off.
- Stamp duty on purchase of units
- Stamp duty = 0.005% × purchase amount
- Charged on purchases, including SIP, STP, switch-in and IDCW reinvestment. Not on redemption.
- Units allotted after stamp duty
- Units = (Amount invested − Stamp duty) ÷ Applicable NAV
- Stamp duty is deducted before allotment, so units are based on the net amount.
- Net Asset Value
- NAV = (Market value of assets − Liabilities and expenses) ÷ Units outstanding
- This is the base price before any swing adjustment.
- IDCW per unit
- IDCW per unit = IDCW rate (%) × Face value per unit
- The rate applies to face value, not to NAV.
- Ex-IDCW NAV
- Ex-IDCW NAV = Cum-IDCW NAV − IDCW per unit
- NAV falls by the amount paid out. Statutory levies, if any, are ignored in basic questions.
- Swung NAV on net outflow
- Swung NAV = NAV × (1 − swing factor)
- Used when net redemptions cross the threshold. Illustrative form; the factor is set under SEBI rules.
- Investor wealth after IDCW
- Wealth = Units × Ex-IDCW NAV + IDCW received
- This equals units × cum-IDCW NAV, so IDCW creates no extra wealth.
Quick revision
- NAV per unit = (market value of assets + receivables + accrued income − liabilities − accrued expenses) ÷ units outstanding.
- Example: net assets of ₹100 crore and 5 crore units give a NAV of ₹20.0000.
- NAV is declared net of expenses, since expenses are accrued daily and deducted before NAV is worked out.
- Listed securities are valued at the closing price on the exchange; debt securities use prices from AMFI-appointed valuation agencies.
- TER is the annual cost of running the scheme as a percentage of assets; its limits are slab-based and fall as assets grow.
- Direct Plans have a lower TER than Regular Plans because there is no distribution commission.
- Entry load is not permitted for mutual fund schemes; exit load is allowed and is credited to the scheme, net of GST.
- Redemption price = NAV − exit load. Example: NAV ₹25 and 1% exit load give ₹24.75.
- Stamp duty on purchases of units is 0.005%; on ₹1,00,000 it is ₹5, so units are allotted against ₹99,995.
- Cut-off for most schemes is 3:00 pm; the applicable NAV also depends on when funds are available for utilisation.
- Liquid and overnight schemes follow different cut-off rules from other schemes, so never apply the 3:00 pm rule to them blindly.
- Swing pricing adjusts NAV in stressed conditions so that the cost of heavy redemptions falls on exiting investors, not those who stay.
Common mistakes
- Dividing total assets by units without deducting liabilities. Fix: Always subtract liabilities and accrued expenses before dividing.
- Thinking a lower NAV means a cheaper and better fund. Fix: Remember that NAV is value per unit. Compare funds on percentage returns, not NAV levels.
- Valuing a traded equity holding at purchase cost. Fix: Mutual funds mark to market. Traded equity is valued at the closing price on the primary exchange.
- Thinking the AMC can pick any price for debt securities. Fix: Debt and money market securities above the short-maturity threshold use prices from AMFI-appointed valuation agencies.
- Adding an entry load to NAV when the question describes a purchase. Fix: Remember that entry load is banned since 1 August 2009. Sale price equals the applicable NAV.
- Applying exit load to the amount invested rather than to the NAV at redemption. Fix: Exit load is a percentage of the NAV on the redemption date. Use that NAV.
- Giving a liquid fund purchase the same-day NAV. Fix: For liquid and overnight purchases received by 1:30 pm with funds available, use the previous day's NAV.
- Using 3:00 pm as the cut-off for liquid fund purchases. Fix: Remember purchases 1:30 pm, redemptions 3:00 pm for liquid funds.
- Applying the IDCW rate to NAV instead of face value Fix: Always multiply the rate by face value, unless the question states IDCW in rupees per unit.
- Saying NAV is unchanged after IDCW Fix: Cash leaves the fund, so NAV falls by the IDCW per unit.
Exam tips
- Read for the words 'net' and 'accrued expenses'. Most trap options ignore liabilities.
- Questions on NAV level are conceptual. A higher NAV does not mean a better fund.
- Know that open-ended schemes declare NAV every business day and that new units are priced at the applicable NAV.
- Do the arithmetic once and round last. Options often differ only in the second decimal.
- Remember that NFO units are usually issued at ₹10, with the scheme's offer document as the final reference.
- Expect direct-recall MCQs on who prices what: exchange closing price for traded equity, AMFI-appointed agencies for debt and money market securities. Learn this pair cold.
- Questions often pair a rule with its trap, such as cost price, payment date or record date. Eliminate these first.
- In NAV sums, write assets and liabilities in two lines before calculating. Most lost marks come from missing accruals.