Lesson 9 of 10 · All lessons in this module
  1. What an interest rate is made of
  2. Holding period return
  3. Arithmetic and geometric mean returns
  4. Harmonic, trimmed and winsorized means
  5. Money-weighted return
  6. Time-weighted vs money-weighted returnVideo lesson
  7. Integrated cases: balance tables, money-weighted and time-weighted returns
  8. Annualised and continuously compounded returnsVideo lesson
  9. Gross, net, after-tax, real and leveraged returnsVideo lesson
  10. Integrated cases: from total return to what the investor keeps

Lesson 9 of 10 · 14 min

Gross, net, after-tax, real and leveraged returns

Peel a headline return down to what the investor keeps after fees, taxes and inflation, and remember that leverage magnifies whatever is left, both up and down.

In short

  • Gross return: after trading costs, before management and administrative expenses; it reflects manager skill.
  • Net return: gross minus management and administrative expenses; what the fund earned for the investor.
  • Returns are pre-tax nominal unless stated. After-tax returns deduct taxes on income and realised gains; taxable investors judge managers on them.
  • Real return: (1+nominal)/(1+inflation)−1(1+\text{nominal})/(1+\text{inflation}) - 1. After-tax real return: tax first, then inflation.
  • Leveraged return RL=RP+VBVE(RP−rD)R_L = R_P + \frac{V_B}{V_E}(R_P - r_D): borrowing helps only if RP>rDR_P > r_D; futures margin multiplies returns both ways.

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