NISM Certifications · NISM-Series-XV: Research Analyst
Terminology in Equity and Debt Markets: formula sheet
Key formulas
- Market capitalisation
- Market cap = Share price × Number of shares outstanding
- Free-float market cap uses only shares available for public trading, not promoter holdings.
- Primary vs secondary: who gets the money
- Primary: money to issuer | Secondary: money to selling investor
- The most tested distinction.
- Rights entitlement
- New shares offered = Existing shares × Rights ratio
- For example, a 1:4 ratio means one new share for every four held.
- Stock split effect
- New face value = Old face value ÷ Split factor; New number of shares = Old number × Split factor
- Total share capital and market cap do not change by the split itself.
- Earnings per share
- EPS = (Net profit − preference dividend) ÷ weighted average equity shares
- Basic EPS uses profit available to equity shareholders.
- Price-to-earnings
- P/E = Market price per share ÷ EPS
- Equivalent: Market cap ÷ Net profit. Earnings yield is the inverse, EPS ÷ Price.
- Book value per share
- Book value per share = Net worth ÷ Number of equity shares
- Net worth = share capital + reserves and surplus.
- Price-to-book
- P/B = Market price per share ÷ Book value per share
- Uses balance sheet value, so it suits asset-heavy firms such as banks.
- Dividend yield
- Dividend yield = DPS ÷ Market price × 100
- Falls when the price rises, if DPS is unchanged.
- Dividend payout ratio
- Payout ratio = DPS ÷ EPS × 100
- Retention ratio = 1 − payout ratio.
- Market capitalisation
- Market cap = Market price × Shares outstanding
- Value of equity only, not debt.
- Enterprise value
- EV = Market cap + Total debt − Cash and cash equivalents
- Debt minus cash is net debt. Some definitions also add minority interest and preference capital.
- EV/EBITDA
- EV/EBITDA = Enterprise value ÷ EBITDA
- Numerator is whole-firm value, so the denominator must be a pre-interest measure.
- Profit on a long position
- Profit = (Sell price − Buy price) × Quantity
- Ignore brokerage and taxes unless the question includes them.
- Profit on a short sale
- Profit = (Sell price − Buy-back price) × Quantity
- Profit arises when the buy-back price is lower. A price rise causes a loss.
- Settlement date under T+1
- Settlement day = Trade day (T) + 1 working day
- Count working days only. Exchange holidays and weekends are skipped.
- Buy limit order rule
- Executes at limit price or lower
- A sell limit executes at the limit price or higher.
- Stop loss trigger rule
- Order is dormant until the trigger price is touched
- Trigger price is not the same as the limit price in a stop loss limit order.
- Margin as a share of trade value
- Margin amount = Margin % × Trade value
- Use this when a question gives a margin percentage and a trade value.
- Discount instrument return
- Return = Face value − Issue price
- Applies to T-bills, CPs and CDs. There is no coupon. You earn the gain on redemption.
- Money market cut-off
- Money market: original maturity ≤ 1 year; Bond market: maturity > 1 year
- Use this as the first sorting test for any instrument.
- T-bill tenors
- 91 days, 182 days, 364 days
- Issued by the Central Government at a discount. No coupon.
- Coupon amount
- Annual coupon = Coupon rate × Face value
- For a 7% bond of face value ₹1,000, the annual coupon is ₹70.
- Bond price
- Price = Σ [C ÷ (1 + y)^t] + F ÷ (1 + y)^n
- C = coupon per period, y = yield per period, F = face value, n = number of periods. Price is the present value of all cash flows.
- Coupon
- Annual coupon = Coupon rate × Face value
- Always calculated on face value, never on market price.
- Current yield
- Current yield = Annual coupon ÷ Current market price
- Ignores capital gain or loss and time value of money.
- Approximate YTM
- YTM ≈ [C + (F − P) ÷ n] ÷ [(F + P) ÷ 2]
- A shortcut estimate only. The exact YTM needs trial and error or a calculator.
- Modified duration
- Modified duration = Macaulay duration ÷ (1 + YTM ÷ k)
- k = coupon payments per year. Use YTM as a decimal.
- Price change from duration
- % change in price ≈ − Modified duration × change in yield (in %)
- Good for small yield changes. Convexity corrects the error for large changes.
- Duration rules
- Zero-coupon bond: Macaulay duration = maturity
- For coupon bonds, Macaulay duration is less than maturity. Higher coupon or higher yield usually means lower duration. Longer maturity usually means higher duration.
- Yield ranking
- Discount bond: coupon rate < current yield < YTM. Premium bond: coupon rate > current yield > YTM
- At par, all three are equal.
- Credit spread
- Credit spread = Yield on corporate bond − Yield on government security of similar maturity
- Compare same maturity. Spread is usually quoted in basis points.
- Basis point
- 1 basis point = 0.01%; 100 basis points = 1%
- Convert before comparing. A 50 bp change is 0.50%.
- Price-yield relationship
- Yield ↑ ⇒ Bond price ↓; Yield ↓ ⇒ Bond price ↑
- This inverse link is the core of interest rate risk.
- Repo vs reverse repo direction
- Repo: RBI lends to banks. Reverse repo: RBI borrows from banks
- Always read the direction from the RBI's side.
- Investment grade cut-off
- Investment grade = BBB- and above; below BBB- = speculative grade
- AAA is highest; D means default.
Quick revision
- Equity shares represent ownership; debt instruments represent a loan to the issuer.
- Market capitalisation = share price × number of shares outstanding.
- P/E = market price per share ÷ earnings per share.
- Dividend yield = dividend per share ÷ market price per share.
- Book value per share = net worth ÷ number of shares outstanding.
- Bond price and bond yield move in opposite directions.
- Coupon rate is fixed on face value; yield changes with the market price paid.
- A bond trading below face value is at a discount; above face value is at a premium.
- A credit spread is the extra yield over a benchmark such as a government security, paid for credit risk.
- Zero coupon bonds pay no periodic interest and are issued at a discount to face value.
- Check whether the question asks for a rate on face value or on market price before choosing an option.
Common mistakes
- Saying the company receives money when shares are bought on the exchange. Fix: Only primary market purchases fund the issuer. Exchange trades pay the seller.
- Treating a bonus issue as a way of raising capital. Fix: A bonus issue capitalises reserves and brings no fresh cash in.
- Using market cap instead of enterprise value in the EV/EBITDA numerator. Fix: EV/EBITDA always uses EV. Market cap ÷ EBITDA is wrong because EBITDA is earned before paying lenders.
- Inverting P/E, giving EPS ÷ price. Fix: Price is on top for P/E and P/B. EPS ÷ price is earnings yield.
- Saying a limit order is always executed. Fix: Remember: limit order controls price, not execution. Market order controls execution, not price.
- Treating the stop loss trigger price as the guaranteed execution price. Fix: The trigger only activates the order. A stop loss market order executes at the prevailing market price, which can be worse than the trigger.
- Saying T-bills pay a coupon. Fix: T-bills are zero coupon. They are issued at a discount and repaid at face value.
- Treating CP and CD as the same instrument. Fix: CP is issued by companies and is unsecured. CD is issued by banks and financial institutions against deposits.
- Calculating the coupon on market price instead of face value. Fix: Coupon = coupon rate × face value. Only current yield uses market price, as the denominator.
- Thinking a bond's coupon rate changes when its price changes. Fix: The coupon is fixed in rupees. Price changes, so the yield earned by a new buyer changes.
Exam tips
- Expect direct definition questions, so learn one-line definitions for each instrument and issue type.
- Watch for trap options that swap primary and secondary market, or rights and bonus issue.
- Remember that Nifty 50 and Sensex are index names, and know that indices are mostly free-float weighted.
- Under negative marking of 25% of the question's marks, skip a question only if you cannot remove at least two options.
- Learn each formula with price on top for P/E and P/B, and DPS over price for yield. Many wrong options are inverted forms.
- Check for preference dividends and for whether debt and cash are given. These change EPS and EV.
- Wrong answers cost 25% of the question's marks in this exam, so eliminate options before guessing.
- Expect interpretation questions. Know that EV/EBITDA is capital-structure neutral and P/B suits banks and asset-heavy firms.