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NISM Certifications · NISM-Series-XV: Research Analyst

Terminology in Equity and Debt Markets: formula sheet

Full chapter guide

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.