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Series 7 Formula Sheet

Every formula you need for the Series 7 exam on one page: yields, tax-equivalent yield, options, margin, mutual fund pricing, ratios and taxes. Copy it out by hand until you can reproduce it from memory.

Equity (Chapter 5)

Measure Formula
Outstanding shares Issued − Treasury
Cumulative voting Shares × Seats
Preferred dividend Rate × Par ($100)
Conversion ratio Par ÷ Conversion price
Parity price of stock Convertible’s market price ÷ Conversion ratio
Parity price of convertible Stock price × Conversion ratio
Right value, cum-rights (Market − Subscription) ÷ (Rights per share + 1)
Right value, ex-rights (Market − Subscription) ÷ Rights per share

Debt (Chapters 6–9)

Measure Formula
Dollar price Quote (% of par) × $1,000; 1 point = $10; 1/32 = $0.3125
Current yield Annual interest ÷ Market price
Approximate YTM [Annual interest + (Par − Price) ÷ Years] ÷ [(Par + Price) ÷ 2]
Discount bond yields Nominal < Current < YTM < YTC
Premium bond yields Nominal > Current > YTM > YTC
Price change from duration ≈ −Duration × Change in yield
Accrued interest (30/360) Par × Coupon × Days ÷ 360
T-bill price Face × [1 − (Discount yield × Days ÷ 360)]
TIPS interest Coupon rate × Inflation-adjusted principal
Tax-equivalent yield Municipal yield ÷ (1 − Tax rate)
Municipal-equivalent yield Taxable yield × (1 − Tax rate)
Property tax Assessed value × Mills ÷ 1,000
Debt service coverage Net revenue ÷ Debt service
Total takedown Additional takedown + Concession

Investment Companies (Chapter 10)

Measure Formula
NAV per share (Assets − Liabilities) ÷ Shares outstanding
Sales charge % (POP − NAV) ÷ POP
POP NAV ÷ (1 − Sales charge %)
Premium / discount (closed-end) (Market price − NAV) ÷ NAV

Options (Chapters 13–14)

Position Breakeven Max gain Max loss
Long call Strike + premium Unlimited Premium
Short call Strike + premium Premium Unlimited
Long put Strike − premium BE × 100 Premium
Short put Strike − premium Premium BE × 100
Covered call Cost − premium (Strike − cost + premium) × 100 BE × 100
Protective put Cost + premium Unlimited (Cost + premium − strike) × 100
Short stock + long call Short price − premium BE × 100 (Strike − short price + premium) × 100
Call spread Lower strike + net premium Debit: strike difference − debit · Credit: credit Debit: debit · Credit: strike difference − credit
Put spread Higher strike − net premium (same as above) (same as above)
Straddle Strike ± total premium Long: unlimited · Short: premiums Long: premiums · Short: unlimited

Intrinsic value: call = market − strike; put = strike − market (never below zero). Time value = premium − intrinsic value. Index hedge contracts = (Portfolio value × Beta) ÷ (Index × $100). Uncovered equity option margin = Premium + 20% of underlying − OTM amount (minimum: premium + 10%).

Margin (Chapter 17)

Measure Formula
Long account LMV − DR = EQ
Short account SMV + EQ = CR
Reg T requirement 50% of market value
Excess equity (SMA) EQ − Reg T requirement
Buying power SMA × 2
Long maintenance call level DR ÷ 0.75
Short maintenance call level CR ÷ 1.30

Analysis, Returns and Taxes (Chapters 15–16)

Measure Formula
Current ratio Current assets ÷ Current liabilities
Quick ratio (Current assets − Inventory) ÷ Current liabilities
EPS (Net income − Preferred dividends) ÷ Common shares
P/E ratio Price ÷ EPS
Dividend payout Dividends per share ÷ EPS
Dividend (current) yield Annual dividend ÷ Price
Total return (Income + Price change) ÷ Beginning value
Real return Nominal return − Inflation
Sharpe ratio (Return − Risk-free rate) ÷ Standard deviation
Capital loss deduction Up to $3,000 per year; excess carried forward

From Series 7 Mastery, where every formula is taught with a step-by-step worked example. See the options cheat sheet for options strategies in more detail.