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CFA Level I Formula Sheet

Last updated: April 17, 2026

This formula sheet is built for first-pass CFA Level I review. It is not a substitute for the official curriculum. Use it as a quick checkpoint after reading a topic guide, then test the formula with questions until the idea feels natural.

How to study formulas

  1. Write the formula once without looking.
  2. Label every input in plain English.
  3. Solve one small example by hand or calculator.
  4. Explain what would make the answer higher or lower.
  5. Save missed formulas in an error log and review them two days later.

Calculator and setup habits

  • Match rate frequency to period frequency (annual vs monthly vs semiannual).
  • Use a timeline for TVM questions so direction (PV vs FV) is clear.
  • Check sign conventions: outflows and inflows should have opposite signs.
  • Estimate the answer range before calculating so you can catch obvious errors.

Time value of money

Future value

FV = PV x (1 + r)^n

Use when money grows forward through compounding.

Present value

PV = FV / (1 + r)^n

Use when a future cash flow must be brought back to today.

Holding period return

HPR = (Ending value - Beginning value + Income) / Beginning value

Include dividends, coupons, or other income when the question gives it.

Portfolio and statistics basics

Expected return

E(R) = Sum of probability x return

Multiply each possible return by its probability before adding.

Weighted portfolio return

Rp = Sum of weight x asset return

Weights should add to 100 percent or 1.0.

Risk premium

Risk premium = Expected return - Risk-free rate

Shows the extra return expected for taking risk.

Financial statement analysis

Current ratio

Current assets / Current liabilities

A liquidity measure, not proof that a business is healthy.

Debt-to-equity

Total debt / Total equity

Higher leverage can increase both risk and return.

Return on equity

Net income / Average equity

Connect ROE with profitability, leverage, and asset use.

Equity and fixed income

Dividend discount model

Value = D1 / (r - g)

Only works when the growth assumption is stable and below the required return.

Price-to-earnings ratio

P/E = Price per share / Earnings per share

A high P/E can mean growth expectations, overpricing, or both.

Current yield

Annual coupon / Bond price

This is not the same as yield to maturity because it ignores capital gain or loss.

Common formula mistakes

  • Using annual rates with monthly periods without converting the rate or period.
  • Forgetting income in a holding period return question.
  • Reading a ratio as "good" or "bad" without comparing it to context.
  • Memorizing a formula but not knowing when the assumptions break.

Related CFA guides

FAQ

Do I need to memorize every formula?

Focus on high-frequency formulas and the setup behind them. A formula you can set up correctly under time pressure is more valuable than a formula you only recognize on paper.

How often should I review formulas?

Short reviews work best. Try 10 minutes daily or 20 minutes every other day. Repetition builds recall faster than long, rare cramming sessions.

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