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

M13A Cointegration, pairs and statistical arbitrage 18

  1. P1 The DF distribution and the probability of "mean reversion" ★★ Check
  2. P2 ADF reparametrisation ★ Check
  3. P3 How spurious tt-statistics grow ★★ Check
  4. P4 (a cointegrated VAR(1) by hand) ★★ Check
  5. P5 Engle–Granger in practice ★★
  6. P6 Johansen arithmetic ★★ Check
  7. P7 (OU parameters from an AR(1)) ★ Check
  8. P8 Passage times and a band ★★ Check
  9. P9 Bertram's optimal symmetric band ★★ Check
  10. P10 Three hedge ratios ★ Check
  11. P11 Kalman steady state ★★ Check
  12. P12 One Kalman step by hand ★ Check
  13. P13 A Chow test ★★ Check
  14. P14 Data snooping in break tests ★★★ Check
  15. P15 Lots and hedge ratios ★ Check
  16. P16 Is the gold/silver ratio tradeable? ★★ Check
  17. P17 Case analysis: testing whether a merger broke a pair ★★★
  18. P18 A merger as a known cointegrating vector ★ Check

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