Markets: A Rigorous Course

Problem sets

Problems

Every problem in the course. Solutions sit behind a deliberate step on each problem page.

to difficulty Check numeric answers checked on the page

M03 The mathematics of betting: expectancy, Kelly, ruin 16

  1. P1 A trade journal in R ★ Check
  2. P2 Binary Kelly and its growth rate ★★ Check
  3. P3 Kelly versus expected wealth ★★ Check
  4. P4 Where does overbetting turn negative? ★★★ Check
  5. P5 Continuous-time Kelly from a discrete step ★★ Check
  6. P6 Choosing a Kelly fraction from a drawdown limit ★★ Check
  7. P7 Estimation risk ★★ Check
  8. P8 Two-asset Kelly ★★ Check
  9. P9 Gaps change everything ★★★ Check
  10. P10 Gambler's ruin with pushes ★★ Check
  11. P11 Expected duration by martingales ★★ Check
  12. P12 The Lundberg exponent at half Kelly ★★★ Check
  13. P13 Drawdowns of a Sharpe-0.8 strategy ★★ Check
  14. P14 Position sizing across instruments ★ Check
  15. P15 Case analysis: LTCM's leverage arithmetic ★★★ Check
  16. P16 Case analysis: the arithmetic of retail option buying ★★ Check

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