NISM Certifications · NISM-Series-V-A: Mutual Fund Distributors

Investment Landscape: formula sheet

Full chapter guide

Key formulas

Product matching rule: Goal → time horizon + risk tolerance + liquidity need → suitable asset mix; Longer horizon and higher risk tolerance allow more equity. Shorter horizon needs liquid, low-risk products.
Risk tolerance: Risk tolerance = risk capacity (ability) + risk appetite (willingness); If the two conflict, the lower one is the safer guide. High willingness does not create capacity.
Future value of a goal: Future cost = Present cost × (1 + inflation rate)ⁿ; n is years to the goal. Goals must be costed in future rupees, not today's.
Life-cycle sequence: Accumulation → Consolidation → Preservation → Distribution; Growth focus early, safety and income focus later.
Return ranking (long-term expectation): Equity > Real estate / Gold (varies) > Debt > Cash; Use as a general guide only. Actual returns vary over time. Equity has the highest return potential, cash the lowest.
Risk ranking: Equity > Real estate / Gold > Debt > Cash; Higher expected return comes with higher risk. Equity is the most volatile of the main classes.
Liquidity ranking: Cash > Listed equity, gold ETFs, liquid debt > Real estate; Real estate is the least liquid. Cash is the most liquid.
Real return (approximate): Real return ≈ Nominal return − Inflation rate; Explains why cash can lose purchasing power.
Source of return: Equity: dividends + price gain. Debt: interest + price change. Gold: price change only. Real estate: rent + price gain.; Gold gives no regular income.
Absolute return: Absolute return (%) = (Ending value − Beginning value) ÷ Beginning value × 100; Ignores time. Use it for periods up to one year or for simple comparison. Add income received to the ending value.
CAGR: CAGR = (Ending value ÷ Beginning value)^(1/n) − 1; n is the number of years. It gives the smoothed yearly compound rate. Used for periods over one year.
Annualised simple return: Annualised return = Absolute return × (12 ÷ months held); Rough method for periods under one year.
Standard deviation: σ = √[ Σ(R − mean R)² ÷ (n − 1) ]; Measures total risk, the spread of returns around the average. Higher σ means more volatility.
Beta: Beta = Covariance(fund, market) ÷ Variance(market); Measures sensitivity to market (systematic risk). Market beta = 1. Beta above 1 means more volatile than market; below 1 means less.
Sharpe ratio: Sharpe = (Fund return − Risk-free return) ÷ Standard deviation; Excess return per unit of total risk. Higher is better.
Approximate real return: Real return ≈ Nominal return − Inflation rate; Quick method. Good when rates are small. Use it unless the question says exact or gives options that differ by small amounts.
Exact real return (Fisher): Real return = [(1 + Nominal) ÷ (1 + Inflation)] − 1; Always slightly lower than the approximate value when both rates are positive.
Future value (compounding): FV = PV × (1 + r)ⁿ; r is the rate per period and n is the number of periods. Match r and n to the same period.
Present value (discounting): PV = FV ÷ (1 + r)ⁿ; Used to find what a future amount is worth today.
Future cost with inflation: Future cost = Present cost × (1 + inflation)ⁿ; Same as compounding, with inflation as the rate.
Rule of 72: Years to double ≈ 72 ÷ rate (in % per year); A rule of thumb, not exact. Works best for moderate rates.
Purchasing power: Purchasing power of ₹X after n years = X ÷ (1 + inflation)ⁿ; Shows what today's money buys in the future.
Mutual fund vs bank deposit: Bank deposit = promised rate, bank liability; Mutual fund = market-linked, no assured return; A mutual fund cannot guarantee returns. Any claim of assured returns is a mis-selling red flag.
Bond price and yield: Interest rate ↑ ⇒ bond price ↓; interest rate ↓ ⇒ bond price ↑; This is interest rate risk. It affects bonds sold before maturity.
Return, risk, liquidity ranking idea: Higher expected return usually comes with higher risk or lower liquidity; A general principle, not a guarantee in every case.
PPF tenure: PPF maturity = 15 years; Government-backed small savings scheme with restricted liquidity: loans and partial withdrawals are allowed after specified years, and the account can be extended in 5-year blocks as per rules.
NPS regulator: NPS is regulated by PFRDA; Mutual funds are regulated by SEBI. Do not mix up the regulators.
Portfolio weight: Weight of an asset = Value of that asset ÷ Total portfolio value × 100; Weights across all assets add up to 100%.
Portfolio expected return: Σ (weight × expected return of each asset); Use weights as decimals or percentages consistently. It is a weighted average, not a simple average.
Correlation range: -1 ≤ correlation ≤ +1; +1 means move together perfectly, 0 means no linear relation, -1 means move in opposite directions. Lower correlation gives more diversification benefit.
Risk reduction rule: Total risk = Systematic risk + Unsystematic risk; Diversification reduces unsystematic risk only. Systematic risk remains.
Rebalancing trigger: Current weight ≠ Target weight → buy or sell to restore target; Rebalancing means selling what has risen above target and buying what has fallen below it.

Quick revision

Goals have a time horizon: short term, medium term and long term. The horizon guides the asset class.
Equity gives higher long-term return potential with higher volatility. Debt gives lower, more stable returns.
Liquidity means how quickly an asset can be converted to cash without a big loss in value.
Higher expected return usually comes with higher risk. This is a general principle, not a guarantee.
Real return is nominal return adjusted for inflation. Approximate: nominal − inflation.
Exact real return = (1 + nominal return) ÷ (1 + inflation) − 1.
A positive nominal return can still give a negative real return if inflation is higher.
Money market instruments are short-term debt instruments. Check the tenor limit for each in your workbook.
Diversification reduces risk specific to one security or sector, but it cannot remove market-wide risk.
Asset allocation means dividing money across asset classes. It is a major driver of portfolio outcomes.
Match the investor's risk capacity and risk tolerance to the portfolio, not just their return wish.

Common mistakes

Choosing a product from age alone. Fix: Treat stages as a guide. Check income, dependants, liabilities and goals before deciding.
Confusing risk capacity with risk appetite. Fix: Capacity is financial ability to bear loss. Appetite is emotional willingness. Capacity limits what is suitable.
Treating debt as risk-free. Fix: Remember credit risk, interest rate risk and reinvestment risk. Only the lowest-risk instruments, such as government securities held to maturity, are close to default-free.
Saying real estate is highly liquid because property is valuable. Fix: Real estate takes time to sell, has high transaction costs and large ticket size. It is the least liquid of the main classes.
Saying diversification removes all risk. Fix: Diversification reduces only unsystematic risk. Systematic risk stays.
Using absolute return to compare funds with different holding periods. Fix: Convert to CAGR for periods over one year before comparing.
Treating nominal return as the investor's real gain. Fix: Always ask what inflation was. Real return is nominal minus inflation.
Adding inflation to the nominal return. Fix: Inflation is subtracted from returns and added to costs.
Saying mutual funds offer guaranteed or assured returns. Fix: Remember that a fund's NAV moves with its portfolio. A scheme states its investment objective, but the returns depend on the portfolio and are never assured.
Treating bonds as risk-free. Fix: Separate credit risk and interest rate risk. Government securities are generally regarded as having negligible or no default risk, but they still carry interest rate (price) risk before maturity.

Exam tips

Questions are mostly scenarios. Underline age, horizon, dependants and goal before reading options.
When appetite and capacity conflict, the answer usually follows capacity.
Learn the four life-cycle stages in order and the focus of each.
Beware of options with the right product but the wrong horizon.
Learn the ranking of return, risk and liquidity for the five classes. Most questions test it directly.
Watch for absolute words like 'always', 'guaranteed' and 'risk-free'. They usually mark a wrong option.
Know the source of return for each class. Gold's lack of income is a favourite.
Link the topic to inflation: cash and low-yield debt can give low real returns.