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Personal Finance for India  Module 7 – Investing foundations (education only)

Mutual funds: structure, NAV, plans and costs

How a mutual fund is set up and priced, why the direct and regular plans of one scheme differ, what a riskometer measures, and what a cost gap costs.

  • Intermediate
  • 15 minutes
  • Examples run with Python 3.14.8
  • By MySmartCoPilot
Free: 15 minutes

What you will learn

  • Explain how a mutual fund is organised and how its units are priced
  • Compare the direct and regular plans of a scheme by their costs
  • Read a riskometer, a scheme category and the scheme documents
  • Compute the long-run effect of a difference in expense ratio

Before you start

₹10 lakh invested for 20 years at an assumed 10 % a year before costs grows to ₹61,41,612 if the fund costs 0.5 % a year, and to ₹51,12,046 if it costs 1.5 %. The portfolio can be identical; the ₹10,29,566 between them is the cost, and it is printed in the scheme’s documents for anyone to compare.

This lesson takes a mutual fund apart: who runs it and who guards it, how its net asset value is worked out and what your units are worth, why the direct and regular plans of one scheme have different NAVs, how a riskometer level is calculated, and what the category, the documents, index funds and ETFs tell you. It is education only: every scheme and number in it is invented or assumed, it names no fund, and it recommends none.

A mutual fund is a trust that pools money into units

When you put ₹50,000 into a scheme, you do not buy shares or bonds yourself. Your money joins everyone else’s in one pool, and you receive units, each an undivided share in what the pool owns. The SEBI (Mutual Funds) Regulations, 2026, which replaced the regulations of 1996, set out who does what. A mutual fund: A trust registered with SEBI that pools investors' money in schemes and invests it in securities and other permitted assets. Investors hold units, each an undivided share of a scheme's assets. is always a trust, and the jobs are split so that no single party both invests your money and holds it:

Interactive · step by step Who is who in a mutual fund Step through how a mutual fund is set up and who does what with your money, from the sponsor to your units.
Who is who in a mutual fund, step 6 of 6. Showing Sponsor, Trustees, Fund house (AMC), Custodian, Registrar, You (holds 1,495.215 units). In focus: Registrar, You.creates the trustappointsappointsoverseeyour moneyyour unitsSponsorsets up the fundTrusteeshold it in trust for youFund house (AMC)invests the moneyCustodiankeeps the securities safeRegistrarkeeps the record of unitsYouholds 1,495.215 units1,495.215 units

The drawing shows the whole scene; its 6 steps are listed below.

Every step as text
  1. The sponsor. A sponsor, the company that establishes the fund, sets it up as a trust registered with SEBI. A mutual fund in India is always a trust.
  2. The trustees. The trustees hold the fund's property in trust for the unitholders. They oversee everyone else, and they appoint the custodian.
  3. The fund house. The asset management company, appointed by the sponsor and approved by SEBI, launches the schemes and invests the money according to each scheme's stated objective. The trustees oversee it.
  4. The custodian. A custodian registered with SEBI keeps the scheme's securities safe. The rules keep it independent of the fund house, so the people who invest the money do not also hold it.
  5. Your money in. You invest ₹50,000 in a scheme. Your money joins everyone else's in the scheme's pool, which the fund house invests.
  6. Your units. The registrar records the units you bought, 1,495.215 of them at a NAV of ₹33.44 in the lesson's example. Each unit is one undivided share in the scheme's assets.

The asset management company (AMC): The company, approved by SEBI, that launches a mutual fund's schemes and invests their money according to each scheme's objective, under the oversight of the fund's trustees., the fund house, runs the schemes; the trustees oversee it on the unitholders’ behalf; a custodian independent of the fund house keeps the securities. A scheme is open-ended when it sells and buys back units on any business day with no fixed end, and close-ended when its maturity is fixed. SEBI’s investor site lists what this structure gives you: professional management, a diversified portfolio, a NAV published every day, portfolios disclosed at set intervals, and expenses capped by regulation.

Checkpoint

Check: How a mutual fund is organised

  1. Question 1 of 2 In a mutual fund, who keeps the scheme's securities safe?

    Choose one answer.

    Show the answer: Question 1 of 2

    Answer: A custodian registered with SEBI, appointed by the trustees and independent of the fund house

    Sponsor, trustees, fund house, custodian and registrar each have one job; the trustees oversee the rest on the unitholders' behalf.

  2. Question 2 of 2 What does one unit of a scheme represent?

    Choose one answer.

    Show the answer: Question 2 of 2

    Answer: One undivided share in all the assets of the scheme

    Because each unit is an equal share of the pool, its value is the net assets divided by the units outstanding: the NAV.

The net asset value (NAV): What one unit of a scheme is worth: the scheme's net assets, valued under SEBI's rules, divided by the units outstanding, worked out every business day. is what one unit is worth. Regulation 43 defines it exactly: every business day, the fund house divides the scheme’s net assets, valued under SEBI’s valuation rules, by the number of units outstanding. Step through an invented scheme’s day:

Interactive · stage by stage From a scheme's holdings to the NAV your order gets Step down the column from what an invented scheme holds at the end of a day to the price at which a purchase gets its units.
From a scheme's holdings to the NAV your order gets, step 6 of 6. Showing Value the holdings, Add cash and receivables, Take off what is owed, Net assets (₹418.00 crore), Divide by the units (NAV ₹33.44 a unit), The NAV your order gets (funds in by 3 p.m.: that day). In focus: The NAV your order gets.Value the holdings₹412.60 croreAdd cash and receivables+ ₹6.80 and ₹1.10 croreTake off what is owed− ₹2.40 and ₹0.10 croreNet assets₹418.00 croreDivide by the unitsNAV ₹33.44 a unitThe NAV your order getsfunds in by 3 p.m.: that day

The drawing shows the whole scene; its 6 steps are listed below.

Every step as text
  1. The holdings. At the end of a business day the scheme's securities are valued at that day's prices, under SEBI's valuation rules. Here they come to ₹412.60 crore.
  2. Cash and receivables. Add the cash, ₹6.80 crore, and what the scheme has earned but not yet received, such as interest and dividends, ₹1.10 crore.
  3. What is owed. Take off what the scheme owes, ₹2.40 crore, and the day's expenses, ₹0.10 crore. Expenses are charged to the scheme every day, so every NAV is already after expenses.
  4. Net assets. What is left belongs to the unitholders, ₹418.00 crore of net assets.
  5. The NAV. Divided by the 12.50 crore units outstanding, net assets give a NAV of ₹33.44 a unit. Most schemes must publish it by 11 p.m. on the same business day, on their own website and AMFI's.
  6. Your price. A purchase in this kind of scheme gets the closing NAV of the day its money reaches the scheme's account, by 3 p.m.; money that arrives later gets the next business day's NAV.

SEBI’s consolidated circular for mutual funds sets the prices on either side of a NAV. You buy at the applicable NAV, since there is no entry load on any scheme, and you sell back at the NAV less any exit load: A charge on units sold back within a period a scheme sets, taken as a share of the NAV and kept in the scheme for the investors who stay. For an open-ended scheme it may not exceed 3 %., which is charged as a percentage of the NAV, capped at 3 % for an open-ended scheme by the regulations and credited to the scheme itself, net of any GST on it. NAVs are rounded to two decimals, or four for index funds and debt schemes. The program buys and redeems units of the invented scheme, leaving stamp duty and tax aside:

An invented scheme's NAV, a purchase and a redemption with an exit load Python · nav_units.py
"""An invented scheme's NAV, a purchase of its units and a redemption with an exit load.

The NAV follows regulation 43 of the SEBI (Mutual Funds) Regulations, 2026: net assets divided by the units
outstanding, worked out every day. Sale and repurchase follow SEBI's consolidated circular for mutual funds: units are
bought at the applicable NAV and sold back at NAV × (1 − exit load), and the exit load, net of any GST on it, is
credited to the scheme. The scheme, its figures and its 1 % exit load on units redeemed within 12 months are invented.
This example keeps units to three decimal places, rounded down, and leaves out stamp duty and taxes. Decimal
arithmetic throughout.
"""

from decimal import ROUND_DOWN, ROUND_HALF_UP, Decimal

CRORE = Decimal(10_000_000)


def rupees(amount, places="0.01"):
    value = Decimal(amount).quantize(Decimal(places), rounding=ROUND_HALF_UP)
    whole, _, paise = f"{value:.2f}".partition(".")
    head, tail = whole[:-3], whole[-3:]
    groups = []
    while len(head) > 2:
        groups.insert(0, head[-2:])
        head = head[:-2]
    if head:
        groups.insert(0, head)
    return "₹" + ",".join(groups + [tail]) + "." + paise


def crore(amount):
    return f"₹{(Decimal(amount) / CRORE).quantize(Decimal('0.01'))} crore"


print("1. The NAV at the end of a day")
securities = Decimal("412.60") * CRORE  # what the holdings would fetch at the day's prices
cash = Decimal("6.80") * CRORE
receivable = Decimal("1.10") * CRORE  # interest and dividends earned, not yet received
payable = Decimal("2.40") * CRORE  # money the scheme owes, such as for securities bought
expenses = Decimal("0.10") * CRORE  # the day's expenses, accrued
net_assets = securities + cash + receivable - payable - expenses
units_out = Decimal("12.50") * CRORE
nav = (net_assets / units_out).quantize(Decimal("0.01"), rounding=ROUND_HALF_UP)
print(f"   securities {crore(securities)} + cash {crore(cash)} + receivable {crore(receivable)}")
print(f"   − payable {crore(payable)} − accrued expenses {crore(expenses)} = net assets {crore(net_assets)}")
print(f"   net assets ÷ {units_out / CRORE} crore units = NAV {rupees(nav)}")

print()
print("2. A purchase of ₹50,000 at that NAV")
invest = Decimal(50_000)
units = (invest / nav).quantize(Decimal("0.001"), rounding=ROUND_DOWN)
print(f"   {rupees(invest)} ÷ {rupees(nav)} = {units} units")

print()
print("3. Redeeming all of them eight months later, at a NAV of ₹36.10")
nav_later = Decimal("36.10")
load = Decimal("0.01")
price = nav_later * (1 - load)
gross = units * nav_later
paid = units * price
print(f"   repurchase price = ₹36.10 × (1 − 1 %) = ₹{price:.3f}")
print(f"   paid out: {units} × ₹{price:.3f} = {rupees(paid)}")
print(f"   at the NAV itself the units are worth {rupees(gross)}; the exit load of {rupees(gross - paid)} goes to the scheme")
print(f"   gain before tax: {rupees(paid - invest)} on {rupees(invest)}")

Output

1. The NAV at the end of a day
   securities ₹412.60 crore + cash ₹6.80 crore + receivable ₹1.10 crore
   − payable ₹2.40 crore − accrued expenses ₹0.10 crore = net assets ₹418.00 crore
   net assets ÷ 12.50 crore units = NAV ₹33.44

2. A purchase of ₹50,000 at that NAV
   ₹50,000.00 ÷ ₹33.44 = 1495.215 units

3. Redeeming all of them eight months later, at a NAV of ₹36.10
   repurchase price = ₹36.10 × (1 − 1 %) = ₹35.739
   paid out: 1495.215 × ₹35.739 = ₹53,437.49
   at the NAV itself the units are worth ₹53,977.26; the exit load of ₹539.77 goes to the scheme
   gain before tax: ₹3,437.49 on ₹50,000.00

Recorded with Python 3.14.8 on macOS 26 arm64. To run it yourself: mise exec python@3.14.8 -- python3 nav_units.py

₹50,000 at a NAV of ₹33.44 bought 1,495.215 units. Eight months later the NAV was ₹36.10, but the units were redeemed within the 12 months of the invented exit load, so each was bought back at ₹35.739: ₹53,437.49 paid out, and the ₹539.77 of exit load, less any GST on it, went to the scheme for the investors who stay.

Reading a low NAV as a cheap fund

Wrong: “a NAV of ₹12 is cheaper than one of ₹120, so I get more”. Right: ₹50,000 buys ₹50,000 of the scheme either way, as more units or fewer. A NAV says what one unit is worth, not whether the fund is good value; what it holds and what it costs decide that.

Checkpoint

Check: NAV, purchase and redemption prices

  1. Question 1 of 2 An invented scheme has securities worth ₹250 crore, cash of ₹5 crore and liabilities, including accrued expenses, of ₹3 crore. It has 9 crore units outstanding. What is its NAV, in rupees to two decimals?

    Type a number.

    A hint

    Net assets are what the scheme owns less what it owes; divide them by the units.

    Show the answer: Question 1 of 2

    Answer: 28 rupees (anything from 27.99 to 28.01 counts)

    ₹250 + ₹5 − ₹3 = ₹252 crore of net assets, and ₹252 crore ÷ 9 crore units = ₹28.00 a unit.

  2. Question 2 of 2 A scheme's NAV is ₹80.00 and its exit load is 1 % for units sold within a year. At what price per unit are units sold within the year bought back, in rupees?

    Type a number.

    Show the answer: Question 2 of 2

    Answer: 79.2 rupees (anything from 79.199 to 79.201 counts)

    The repurchase price is NAV × (1 − exit load) = ₹80.00 × 0.99 = ₹79.20. The ₹0.80 a unit goes to the scheme, less any GST on it.

Direct and regular plans hold the same portfolio at different costs

Every scheme comes in two plans with the same portfolio and the same fund manager. SEBI’s consolidated circular requires a direct plan: The plan of a mutual fund scheme for investments not routed through a distributor. It holds the same portfolio as the regular plan but pays no distribution commission, so it costs less and its own NAV grows faster. for investments not routed through a distributor; because no distribution commission is paid from it, it has a lower expense ratio and a NAV of its own. The regular plan: The plan of a mutual fund scheme bought through a distributor. Its expenses include the distributor's commission, so its expense ratio is higher than the direct plan's and its NAV grows more slowly. is the one bought through a distributor, and its expenses include the distributor’s commission.

What a plan costs is its total expense ratio (TER): A scheme's yearly costs as a share of its assets: the base expense ratio, brokerage, transaction costs and statutory levies. It is charged on the daily net assets, so every NAV is already after it., the TER: a base expense ratio, the brokerage for its trades, the exchanges’ transaction costs and the statutory levies, as a share of the scheme’s assets. Regulation 66 caps the base part, as a per cent of the daily net assets:

Scheme Assets of the scheme Highest base expense ratio
Index fund or ETF Any size 0.90 %
Open-ended, equity-oriented First ₹500 crore 2.10 %
Open-ended, equity-oriented Next ₹250 crore, then next ₹1,250 crore 1.90 %, then 1.60 %
Open-ended, equity-oriented Next ₹3,000 crore, then next ₹5,000 crore 1.50 %, then 1.40 %
Open-ended, equity-oriented Next ₹40,000 crore 0.05 points less for every ₹5,000 crore
Open-ended, equity-oriented The rest 0.95 %
Open-ended, other schemes First ₹500 crore, down to the rest 1.85 %, down to 0.70 %

The caps fall as a scheme grows, and the direct plan’s base ratio must exclude distribution expenses and commissions. Brokerage on top of the base ratio is capped too, at 0.06 % of the trade value in the cash market. The TER is charged a little every day, so it is already inside every NAV you see; nothing is billed to you separately.

Checkpoint

Check: Direct and regular plans, and the expense ratio

  1. Question 1 of 2 Why does a scheme's direct plan have a lower expense ratio than its regular plan?

    Choose one answer.

    Show the answer: Question 1 of 2

    Answer: No distribution commission is paid from the direct plan

    A regular plan's expenses include the distributor's commission, which is why the CAS shows the commission paid and why the two plans' NAVs drift apart.

  2. Question 2 of 2 What is the highest base expense ratio the regulations allow an index fund or an ETF?

    Choose one answer.

    Show the answer: Question 2 of 2

    Answer: 0.90 % of its daily net assets

    The total expense ratio adds brokerage, transaction costs and statutory levies to the base ratio, each with its own limits.

A one-point cost gap compounds into lakhs

A yearly cost works like a negative interest rate: it is taken off every year’s return, and the money it removes stops compounding. The model below is the compound-interest one, set to the opening’s numbers: ₹10 lakh for 20 years at 9.5 %, the assumed 10 % less a cost of 0.5 %. Change the rate to 8.5 % for a cost of 1.5 % and read the balance again:

Interactive · change it and see ₹10 lakh for 20 years, at the gross return less a yearly cost Set a starting amount, a yearly rate, how often interest is added and an amount added at the end of every month.
Balance and money paid in, year by year: amount (INR) against years.05101520020 L40 L60 L80 Lyearsamount (INR)balancepaid in

₹10,00,000 at 9.5 % a year grows to ₹61,41,612 in 20 years; ₹51,41,612 of it is interest.

Balance after 20 years ₹61,41,612
Paid in ₹10,00,000
Interest earned ₹51,41,612
Effective yearly rate 9.50 %
The numbers as a table
Balance at the end of each year
YearPaid inBalance
1₹10,00,000₹10,95,000
2₹10,00,000₹11,99,025
3₹10,00,000₹13,12,932
4₹10,00,000₹14,37,661
5₹10,00,000₹15,74,239
6₹10,00,000₹17,23,791
7₹10,00,000₹18,87,552
8₹10,00,000₹20,66,869
9₹10,00,000₹22,63,222
10₹10,00,000₹24,78,228
11₹10,00,000₹27,13,659
12₹10,00,000₹29,71,457
13₹10,00,000₹32,53,745
14₹10,00,000₹35,62,851
15₹10,00,000₹39,01,322
16₹10,00,000₹42,71,948
17₹10,00,000₹46,77,783
18₹10,00,000₹51,22,172
19₹10,00,000₹56,08,778
20₹10,00,000₹61,41,612

At 9.5 % the balance reaches ₹61,41,612; at 8.5 %, ₹51,12,046. The program works out the three costs, checks the result when the cost is charged daily, as a TER is, and follows the NAVs of two plans of one scheme from ₹10:

A yearly cost over 20 years, at 0.5 %, 1 % and 1.5 % Python · cost_drag.py
"""What a yearly cost does over 20 years: ₹10 lakh at an assumed 10 % gross return a year, at three levels of cost.

The 10 % is an assumption for the arithmetic, not a forecast, and the three costs stand for any yearly expense ratio,
such as a regular plan's against a direct plan's of the same scheme. Part 1 takes the cost straight off the yearly
return (10 % − 0.5 % = 9.5 %), the simple convention. Part 2 charges it a little every day, as a total expense ratio is
charged on the daily net assets, which leaves slightly less. Part 3 follows two plans' NAVs from ₹10 at launch.
Nothing here describes a real scheme.
"""

from decimal import ROUND_HALF_UP, Decimal, getcontext

getcontext().prec = 40
START = Decimal(1_000_000)
GROSS = Decimal("0.10")
YEARS = 20
COSTS = (Decimal("0.005"), Decimal("0.010"), Decimal("0.015"))


def inr(amount):
    value = int(Decimal(amount).quantize(Decimal("1"), rounding=ROUND_HALF_UP))
    digits = str(value)
    head, tail = digits[:-3], digits[-3:]
    groups = []
    while len(head) > 2:
        groups.insert(0, head[-2:])
        head = head[:-2]
    if head:
        groups.insert(0, head)
    return "₹" + ",".join(groups + [tail])


def pct(x):
    return f"{(x * 100).quantize(Decimal('0.1'))} %"


print(f"1. {inr(START)} for {YEARS} years at {pct(GROSS)} a year before costs, the cost taken off each year's return")
simple = {}
for c in COSTS:
    simple[c] = START * (1 + GROSS - c) ** YEARS
    print(f"   cost {pct(c)}: {inr(simple[c])}")
print(f"   the gap between {pct(COSTS[0])} and {pct(COSTS[-1])}: {inr(simple[COSTS[0]] - simple[COSTS[-1]])}")
print(f"   the gap between {pct(COSTS[0])} and {pct(COSTS[1])}: {inr(simple[COSTS[0]] - simple[COSTS[1]])}")

print()
print("2. The same, with the cost charged on every one of 365 days instead")
daily = {}
for c in COSTS:
    daily[c] = START * ((1 + GROSS) * (1 - c / 365) ** 365) ** YEARS
    print(f"   cost {pct(c)}: {inr(daily[c])}")
print(f"   the gap between {pct(COSTS[0])} and {pct(COSTS[-1])}: {inr(daily[COSTS[0]] - daily[COSTS[-1]])}")

print()
print("3. Two plans of one scheme from a NAV of ₹10.00, the cost taken off each year's return")
direct, regular = Decimal("0.005"), Decimal("0.015")
print(f"{'Year':>7}{'Direct NAV':>13}{'Regular NAV':>14}")
for year in (1, 5, 10, 20):
    d = (10 * (1 + GROSS - direct) ** year).quantize(Decimal("0.01"), rounding=ROUND_HALF_UP)
    r = (10 * (1 + GROSS - regular) ** year).quantize(Decimal("0.01"), rounding=ROUND_HALF_UP)
    print(f"{year:>7}{'₹' + str(d):>13}{'₹' + str(r):>14}")

Output

1. ₹10,00,000 for 20 years at 10.0 % a year before costs, the cost taken off each year's return
   cost 0.5 %: ₹61,41,612
   cost 1.0 %: ₹56,04,411
   cost 1.5 %: ₹51,12,046
   the gap between 0.5 % and 1.5 %: ₹10,29,566
   the gap between 0.5 % and 1.0 %: ₹5,37,201

2. The same, with the cost charged on every one of 365 days instead
   cost 0.5 %: ₹60,87,290
   cost 1.0 %: ₹55,07,996
   cost 1.5 %: ₹49,83,824
   the gap between 0.5 % and 1.5 %: ₹11,03,466

3. Two plans of one scheme from a NAV of ₹10.00, the cost taken off each year's return
   Year   Direct NAV   Regular NAV
      1       ₹10.95        ₹10.85
      5       ₹15.74        ₹15.04
     10       ₹24.78        ₹22.61
     20       ₹61.42        ₹51.12

Recorded with Python 3.14.8 on macOS 26 arm64. To run it yourself: mise exec python@3.14.8 -- python3 cost_drag.py

A gap of one percentage point, 0.5 % against 1.5 %, cost ₹10,29,566 over 20 years, about a sixth of the cheaper result, and half a point cost ₹5,37,201. Charged daily instead, the gap grows slightly, to ₹11,03,466. The two plans’ NAVs show the same thing from the inside: ₹10.95 against ₹10.85 after a year, ₹61.42 against ₹51.12 after twenty.

Expense Ratio Impact Calculator (Direct vs Regular) See what two expense ratios, such as a direct and a regular plan's, take from a lump sum or a SIP.

Key idea

Unlike a fund’s returns, its expense ratio is known before you invest, and over decades a single percentage point of it can take a sixth of the result.

Checkpoint

Check: The long-run effect of a cost gap

  1. Question 1 of 2 In the program's first table, how much more does ₹10 lakh grow to over 20 years at a cost of 0.5 % than at a cost of 1 %, in rupees?

    Type a number.

    A hint

    Subtract the 1 % result from the 0.5 % result.

    Show the answer: Question 1 of 2

    Answer: 537201 rupees (anything from 537200 to 537202 counts)

    ₹61,41,612 − ₹56,04,411 = ₹5,37,201: half a percentage point a year, over 20 years, at an assumed 10 % before costs.

  2. Question 2 of 2 Two plans of one scheme both started at a NAV of ₹10. After 20 years at an assumed 10 % before costs, the direct plan's NAV is ₹61.42 and the regular plan's ₹51.12. What explains the gap?

    Choose one answer.

    Show the answer: Question 2 of 2

    Answer: Their yearly costs, 0.5 % and 1.5 %, compounded over 20 years

    A one-point cost gap took ₹10.30 off a NAV that grew from ₹10, about a sixth of the direct plan's ₹61.42.

The riskometer is worked out from what the fund holds

Every scheme carries a product label, which SEBI’s consolidated circular prescribes: the nature of the scheme, such as wealth creation or regular income over an indicative horizon; its objective in one line; and a riskometer: The six-level gauge of risk, from Low to Very High, on every mutual fund scheme's label, worked out each month from the portfolio by a method SEBI prescribes. with six levels, from Low through Low to Moderate, Moderate, Moderately High and High to Very High. The level comes from a method SEBI prescribes, not from a fund house’s view: Annexure 10 of the circular turns the portfolio into a number. Each equity holding scores for its company’s size, its daily volatility and its impact cost, a measure of how easily it trades; each debt holding scores for its credit rating, the portfolio’s interest-rate sensitivity and its liquidity. The program applies the method to three invented portfolios:

The riskometer level of three invented portfolios Python · riskometer.py
"""The riskometer level of three invented portfolios, by the method of SEBI's consolidated circular for mutual funds.

Annexure 10 of that circular gives each holding values for a few risks, averages them over the portfolio by
weight, and maps the result to a level (its Table 11). Equity: market capitalisation (large 5, mid 7, small 9), daily
volatility over two years (up to 1 %: 5, above: 6) and impact cost (up to 1 %: 5, up to 2 %: 7, above: 9), then the
simple average of the three. Debt: credit risk by rating, interest-rate risk by the portfolio's Macaulay duration and
liquidity risk by listing, rating and structure, then the simple average, or the liquidity value if that is higher.
The portfolios are invented; no real scheme is described.
"""

from decimal import ROUND_HALF_UP, Decimal

LEVELS = ((1, "Low"), (2, "Low to Moderate"), (3, "Moderate"), (4, "Moderately High"), (5, "High"))


def level(value):
    for top, name in LEVELS:
        if value <= top:
            return name
    return "Very High"


def weighted(parts):
    """Σ weight × value over (weight in per cent, value) pairs."""
    return sum(Decimal(w) / 100 * v for w, v in parts)


def show(x):
    return x.quantize(Decimal("0.01"), rounding=ROUND_HALF_UP)


def equity(name, cap, vol, impact):
    caps = weighted(cap)
    vols = weighted(vol)
    impacts = weighted(impact)
    value = (caps + vols + impacts) / 3
    print(f"{name}")
    print(f"   market capitalisation {show(caps)}, volatility {show(vols)}, impact cost {show(impacts)}")
    print(f"   average {show(value)}: {level(value)}")


def debt(name, credit, duration_value, liquidity):
    credits = weighted(credit)
    liquid = weighted(liquidity)
    average = (credits + duration_value + liquid) / 3
    value = max(average, liquid)
    print(f"{name}")
    print(f"   credit risk {show(credits)}, interest-rate risk {duration_value}, liquidity risk {show(liquid)}")
    rule = "liquidity is higher, so it counts" if liquid > average else "the average counts"
    print(f"   average {show(average)}, {rule}: {show(value)}, {level(value)}")


equity(
    "A: only large companies, each steady and easy to trade",
    cap=[(100, 5)],
    vol=[(100, 5)],
    impact=[(100, 5)],
)
equity(
    "B: 60 % large, 30 % mid-sized and 10 % small companies",
    cap=[(60, 5), (30, 7), (10, 9)],
    vol=[(50, 5), (50, 6)],
    impact=[(70, 5), (20, 7), (10, 9)],
)
debt(
    "C: short-term debt, Macaulay duration 2.4 years",
    credit=[(50, 1), (30, 2), (20, 3)],  # government securities and AAA, AA+, AA
    duration_value=4,  # more than 2 and up to 3 years
    liquidity=[(50, 1), (30, 3), (20, 4)],  # government securities, listed AA+, listed AA
)
print()
print("Every equity value is 5 or more, so a portfolio of equity alone can never score below High.")

Output

A: only large companies, each steady and easy to trade
   market capitalisation 5.00, volatility 5.00, impact cost 5.00
   average 5.00: High
B: 60 % large, 30 % mid-sized and 10 % small companies
   market capitalisation 6.00, volatility 5.50, impact cost 5.80
   average 5.77: Very High
C: short-term debt, Macaulay duration 2.4 years
   credit risk 1.70, interest-rate risk 4, liquidity risk 2.20
   average 2.63, the average counts: 2.63, Moderate

Every equity value is 5 or more, so a portfolio of equity alone can never score below High.

Recorded with Python 3.14.8 on macOS 26 arm64. To run it yourself: mise exec python@3.14.8 -- python3 riskometer.py

A portfolio of only large, steady, easily traded companies scores exactly 5.00, High; adding mid-sized and small companies takes it to 5.77, Very High; the short-term debt portfolio scores 2.63, Moderate. Every equity value in the method is 5 or more, so a scheme of equity alone can never show less than High. The level is evaluated every month, disclosed with the portfolio within 10 days of the month’s end, and any change is sent to unitholders by e-mail or SMS.

A label beside every performance figure

SEBI requires the riskometer wherever a scheme’s performance is shown, and the benchmark’s riskometer beside it when the scheme is compared with its benchmark, so a return is never quoted without its risk.

Checkpoint

Check: How a riskometer level is worked out

  1. Question 1 of 2 An invented equity portfolio scores 6.0 for market capitalisation, 5.5 for volatility and 5.8 for impact cost. What is its risk value, to two decimals?

    Type a number.

    A hint

    Annexure 10 takes the simple average of the three values.

    Show the answer: Question 1 of 2

    Answer: 5.77 (anything from 5.76 to 5.78 counts)

    (6.0 + 5.5 + 5.8) ÷ 3 = 5.77, above 5, so the riskometer shows Very High, like portfolio B of the program.

  2. Question 2 of 2 Why can a scheme holding only equity never show a riskometer level below High?

    Choose one answer.

    Show the answer: Question 2 of 2

    Answer: Every equity value in SEBI's method is 5 or more, and an average of 5 is High

    Only lower-risk holdings, such as government securities or cash, can bring a portfolio's value below 5.

The category and the documents say what you are buying

SEBI sorts every scheme into a category with fixed characteristics, so that two funds with the same category name hold the same kind of portfolio. Its categorisation circular groups them as equity, debt, hybrid, Life Cycle Funds and other schemes, which include index funds, ETFs and funds of funds. A few of the rules:

Category What it must hold
Large cap fund At least 80 % in large caps, the 100 largest companies by full market value
Mid cap fund At least 65 % in mid caps, the 101st to the 250th
Small cap fund At least 65 % in small caps, the 251st onwards
Flexi cap fund At least 65 % in equity, across company sizes
Liquid fund Only debt and money market securities that mature within 91 days
Index fund or ETF At least 95 % in the securities of the index it tracks

The scheme’s documents say the rest. The offer document has two parts: the scheme information document, the SID, with everything about one scheme, and the statement of additional information about the fund house and its rules. A key information memorandum, the KIM, a short summary, comes with every application form, and the riskometer is printed on the front page of the SID, the KIM and the application form. The SID shows the effect of the expense ratio on the returns of both plans, and every one of these documents is on the fund house’s website.

Checkpoint

Check: Scheme categories and documents

  1. Question 1 of 2 A scheme in the large cap category must hold at least 80 % in large caps. Which companies count as large caps?

    Choose one answer.

    Show the answer: Question 1 of 2

    Answer: The 100 largest by full market capitalisation, on AMFI's list

    AMFI publishes the list every six months, and funds must realign their portfolios to it within a month.

  2. Question 2 of 2 Which scheme document comes with every application form?

    Choose one answer.

    Show the answer: Question 2 of 2

    Answer: The key information memorandum, the KIM

    The SID and SAI make up the offer document; the KIM is the short summary beside the form, with the riskometer on its front page.

Index funds and ETFs track an index instead of picking

An index fund: A mutual fund scheme that invests in the securities of an index in the index's proportions, aiming to match the index rather than beat it. It is bought and sold at the day's NAV. invests in the securities of an index in the same proportions as the index, so its aim is to match the index, not to beat it. An exchange traded fund (ETF): A scheme that, like an index fund, holds an index's securities in its proportions, but whose units are listed and traded on a stock exchange at market prices, through a broker and a demat account. does the same, but its units are listed and traded on a stock exchange, which the regulations make mandatory. Both are structures: what they hold is set by the index they follow, and the regulations cap their base expense ratio at 0.90 %.

What differs An index fund An ETF
How you buy and sell From the fund house, at the day’s NAV On an exchange, through a broker, at the market price
What you need A folio A demat account and a trading account
What it costs Its TER Its TER, plus brokerage and demat charges

An actively managed scheme differs from both in what it holds: whatever its fund manager chooses within its category, with base expenses capped higher, at up to 2.10 % on the first ₹500 crore of an equity-oriented scheme.

SEBI’s investor site adds the practical differences: an ETF trades at market prices through the day, cannot be bought in fractions of a unit, and carries a broker’s charges, while an index fund is bought and sold at the NAV like any other scheme. Neither matches its index exactly, because of expenses and the costs of following it; the slight difference between a fund’s return and the index’s is its tracking error: The slight difference between an index fund's or ETF's return and the return of the index it follows, caused mainly by its expenses and the costs of following the index..

Checkpoint

Check: Index funds and ETFs

  1. One question Which of these are true of an ETF, but not of an index fund? Choose every one.

    Choose every answer that is right.

    Show the answer: One question

    Answer:

    • Its units are listed and traded on a stock exchange
    • Its price changes through the trading day
    • You need a demat account and a broker to buy it

    Both are structures that follow an index, with base expense ratios capped at 0.90 %; how you buy and hold them differs.

Practise: units, plans, costs and labels

Six of these ask for a number and the rest for a choice, from a NAV to an ETF. Your weakest idea comes up first, and every number can be worked out from this page:

Practice that adapts to you

Practise this lesson

15 questions about 7 ideas of this lesson. Each answer is explained at once, and what you get right is kept in this browser.

  1. Question 1 of 15 In what legal form is every mutual fund in India set up?

    Choose one answer.

    Show the answer: Question 1 of 15

    Answer: As a trust, whose trustees hold the property for the unitholders

    The trust form puts the trustees between the fund house and the money, with a duty to the unitholders.

  2. Question 2 of 15 Why do the rules keep the custodian independent of the fund house?

    Choose one answer.

    Show the answer: Question 2 of 15

    Answer: So that the people who decide what to buy are not also the people who hold what was bought

    The regulations keep a custodian run by the sponsor's representatives away from the sponsor's own fund, and where a sponsor owns half or more of a custodian, they require, among other things, that no one sits on both boards.

  3. Question 3 of 15 You invest ₹25,000 at a NAV of ₹40.00. How many units do you get, leaving stamp duty aside?

    Type a number.

    Show the answer: Question 3 of 15

    Answer: 625 units (anything from 624.999 to 625.001 counts)

    ₹25,000 ÷ ₹40.00 = 625.000 units. There is no entry load, so the whole amount buys units at the NAV.

  4. Question 4 of 15 You redeem 500 units at a NAV of ₹50.00 within the period of a 1 % exit load. How much is paid out, in rupees?

    Type a number.

    A hint

    The repurchase price is the NAV times (1 − exit load).

    Show the answer: Question 4 of 15

    Answer: 24750 rupees (anything from 24749.99 to 24750.01 counts)

    ₹50.00 × 0.99 = ₹49.50 a unit, and 500 × ₹49.50 = ₹24,750. The ₹250 of exit load goes to the scheme, less any GST on it.

  5. Question 5 of 15 Scheme X has a NAV of ₹12 and scheme Y a NAV of ₹120. Which statement is true?

    Choose one answer.

    Show the answer: Question 5 of 15

    Answer: ₹50,000 buys ₹50,000 of either scheme; the NAV says nothing about which is better value

    Compare schemes by what they hold, what they cost and their riskometer, never by the level of their NAV.

  6. Question 6 of 15 What is the same in the direct and regular plans of one scheme?

    Choose one answer.

    Show the answer: Question 6 of 15

    Answer: The portfolio and the fund manager

    A direct plan is for investments not routed through a distributor; choosing it changes the cost, not the portfolio.

  7. Question 7 of 15 An open-ended equity-oriented scheme has net assets of ₹600 crore. Under regulation 66, what is the most it may charge as base expenses in a year, in ₹ crore?

    Type a number.

    A hint

    The first ₹500 crore is capped at 2.10 % and the next ₹250 crore at 1.90 %.

    Show the answer: Question 7 of 15

    Answer: 12.4 ₹ crore (anything from 12.39 to 12.41 counts)

    2.10 % of ₹500 crore is ₹10.5 crore, and 1.90 % of the next ₹100 crore is ₹1.9 crore: ₹12.4 crore, or about 2.07 % of the ₹600 crore.

  8. Question 8 of 15 ₹5,00,000 is invested for 10 years at an assumed 10 % a year before costs. How much more does it grow to at a cost of 0.5 % than at 1.5 %, in rupees, taking the cost off each year's return?

    Type a number.

    A hint

    Work out ₹5,00,000 × 1.095^10 and ₹5,00,000 × 1.085^10, then subtract.

    Show the answer: Question 8 of 15

    Answer: 108622 rupees (anything from 108620 to 108624 counts)

    ₹5,00,000 × 1.095^10 = ₹12,39,114 and ₹5,00,000 × 1.085^10 = ₹11,30,492, a gap of ₹1,08,622. Over 20 years the same gap on ₹10 lakh was ₹10,29,566: it widens with time.

  9. Question 9 of 15 Why does the rupee gap between a cheaper and a costlier plan widen every year?

    Choose one answer.

    Show the answer: Question 9 of 15

    Answer: Each year's cost is taken from a larger balance, and what it removes never compounds again

    A cost is a negative interest rate: half a point cost ₹5,37,201 over 20 years on ₹10 lakh, one point ₹10,29,566.

  10. Question 10 of 15 How many levels does a mutual fund riskometer have?

    Choose one answer.

    Show the answer: Question 10 of 15

    Answer: Six, from Low to Very High

    The level is worked out monthly from the portfolio and must appear wherever the scheme's performance is shown.

  11. Question 11 of 15 An invented equity portfolio is 80 % large caps and 20 % mid caps, every holding has a daily volatility above 1 % and an impact cost of up to 1 %. What is its risk value, to two decimals?

    Type a number.

    A hint

    Market capitalisation 0.8 × 5 + 0.2 × 7; volatility 6; impact cost 5; then the simple average.

    Show the answer: Question 11 of 15

    Answer: 5.47 (anything from 5.46 to 5.48 counts)

    Market capitalisation 5.4, volatility 6 and impact cost 5 average to 5.47, above 5, so Very High.

  12. Question 12 of 15 Which document has everything about one scheme?

    Choose one answer.

    Show the answer: Question 12 of 15

    Answer: The scheme information document, the SID

    The SID and the SAI make up the offer document; the KIM summarises the SID beside every application form.

  13. Question 13 of 15 A mid cap fund holds 55 % of its assets in companies ranked 101st to 250th by market value. What does SEBI's categorisation say?

    Choose one answer.

    Show the answer: Question 13 of 15

    Answer: It falls short; a mid cap fund must hold at least 65 % in mid caps

    Category rules make a name mean the same thing at every fund house: large cap 80 %, mid cap 65 %, small cap 65 %.

  14. Question 14 of 15 An index fund has total assets of ₹200 crore. At least how much must be invested in the securities of the index it tracks, in ₹ crore?

    Type a number.

    Show the answer: Question 14 of 15

    Answer: 190 ₹ crore

    Index funds and ETFs must keep at least 95 % of total assets in the index's securities: 95 % of ₹200 crore is ₹190 crore.

  15. Question 15 of 15 What is an index fund's tracking error?

    Choose one answer.

    Show the answer: Question 15 of 15

    Answer: The slight difference between the fund's return and its index's, from expenses and the costs of following it

    Expenses are a main cause, which is why the 0.90 % cap on passive schemes' base expenses matters.

Interview questions

Warm-up (fresher): Why does the direct plan of a scheme have a higher NAV than its regular plan?

Both plans hold the same portfolio, but they carry different costs. SEBI requires every scheme to offer a direct plan for investments not routed through a distributor; no distribution commission is paid from it, so its expense ratio is lower, and it has its own NAV. The total expense ratio is charged every day on the plan’s assets, so the plan that pays more grows a little more slowly every day. From a NAV of ₹10 at launch, at an assumed 10 % a year before costs, a plan costing 0.5 % reaches ₹15.74 in five years and one costing 1.5 % reaches ₹15.04; after 20 years, ₹61.42 against ₹51.12. The gap is the cost of distribution.

Warm-up (fresher): What is NAV, and how is it calculated?

NAV, net asset value, is what one unit of a scheme is worth. Every business day the fund house values the scheme’s holdings at the day’s prices under SEBI’s valuation rules, adds cash and income receivable, subtracts what the scheme owes and its accrued expenses, and divides the net assets by the units outstanding. For an invented scheme with ₹418 crore of net assets and 12.5 crore units, the NAV is ₹33.44. Investors buy at the NAV, since there is no entry load, and sell back at the NAV less any exit load. Most schemes must publish the day’s NAV by 11 p.m. that day.

Key takeaways

  • A mutual fund is a trust: the fund house invests, the trustees oversee it for the unitholders, and an independent custodian keeps the securities, while you hold units, each an undivided share of the pool.
  • The NAV is net assets divided by units, worked out every business day; you buy at the NAV and sell at the NAV less any exit load, which is credited to the scheme.
  • The direct and regular plans of a scheme hold the same portfolio; the direct plan pays no distribution commission, so its expense ratio is lower and its NAV higher.
  • A cost gap compounds: 0.5 % against 1.5 % a year turned ₹10 lakh into ₹61,41,612 or ₹51,12,046 in 20 years.
  • The riskometer is calculated from the holdings, and equity alone always scores High or above; the category, the SID and the KIM say what the scheme must hold, and index funds and ETFs simply follow an index.

Terms in this lesson

asset management company (AMC)
The company, approved by SEBI, that launches a mutual fund's schemes and invests their money according to each scheme's objective, under the oversight of the fund's trustees.
direct plan
The plan of a mutual fund scheme for investments not routed through a distributor. It holds the same portfolio as the regular plan but pays no distribution commission, so it costs less and its own NAV grows faster.
exchange traded fund (ETF)
A scheme that, like an index fund, holds an index's securities in its proportions, but whose units are listed and traded on a stock exchange at market prices, through a broker and a demat account.
exit load
A charge on units sold back within a period a scheme sets, taken as a share of the NAV and kept in the scheme for the investors who stay. For an open-ended scheme it may not exceed 3 %.
index fund
A mutual fund scheme that invests in the securities of an index in the index's proportions, aiming to match the index rather than beat it. It is bought and sold at the day's NAV.
mutual fund
A trust registered with SEBI that pools investors' money in schemes and invests it in securities and other permitted assets. Investors hold units, each an undivided share of a scheme's assets.
net asset value (NAV)
What one unit of a scheme is worth: the scheme's net assets, valued under SEBI's rules, divided by the units outstanding, worked out every business day.
regular plan
The plan of a mutual fund scheme bought through a distributor. Its expenses include the distributor's commission, so its expense ratio is higher than the direct plan's and its NAV grows more slowly.
riskometer
The six-level gauge of risk, from Low to Very High, on every mutual fund scheme's label, worked out each month from the portfolio by a method SEBI prescribes.
total expense ratio (TER)
A scheme's yearly costs as a share of its assets: the base expense ratio, brokerage, transaction costs and statutory levies. It is charged on the daily net assets, so every NAV is already after it.
tracking error
The slight difference between an index fund's or ETF's return and the return of the index it follows, caused mainly by its expenses and the costs of following the index.

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