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

M08 Option pricing: from replication to Black–Scholes 17

  1. P1 Bull call spread on Nifty ★ Check
  2. P2 A parity violation ★ Check
  3. P3 Strike monotonicity and convexity ★★
  4. P4 Homogeneity and the risk-neutral density ★★
  5. P5 Early exercise of puts ★★
  6. P6 American calls and a discrete dividend ★★ Check
  7. P7 Incompleteness in a trinomial model ★★★
  8. P8 A two-step tree by hand ★★ Check
  9. P9 Itô's lemma in use ★★
  10. P10 Solutions of the Black–Scholes PDE ★★
  11. P11 Digital options ★★ Check
  12. P12 Greeks in numbers ★ Check
  13. P13 Hedged P&L of a short straddle ★★★ Check
  14. P14 Implied volatility ★★ Check
  15. P15 Black-76 on MCX crude oil ★★ Check
  16. P16 Case analysis: moving the reference price ★★★
  17. P17 CRR details ★★ Check

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