Markets: A Rigorous Course

Summary of key results

Foundation about 10 min
Result Statement
T+1 Trade on T; funds and securities settle on the next trading day; since 11 Nov 2024 the CC pays out shares directly to the client's demat account.
Market order on a book Average price = ∑ℓqℓpℓ/Q\sum_\ell q_\ell p_\ell / Q over the levels consumed; impact = average minus mid.
Monthly rate (0.1) ieff=(1+r)1/12−1i_{\text{eff}} = (1+r)^{1/12} - 1, inom=r/12i_{\text{nom}} = r/12.
SIP future value (0.2) FV=P(1+i)((1+i)n−1)/iFV = P(1+i)\big((1+i)^n - 1\big)/i (start-of-month instalments).
XIRR (0.3) Root of ∑kck(1+x)−tk=0\sum_k c_k (1+x)^{-t_k} = 0, tkt_k = days/365; unique when outflows precede inflows (Prop. 0.2).
Retail allotment (0.4)–(0.6) p=K/Np = K/N; p≈aˉ/xp \approx \bar a / x; Pm=1−∏j<m(N−K−j)/(N−j)P_m = 1 - \prod_{j<m}(N-K-j)/(N-j).
Round-trip costs (6 Nov 2026) Intraday ₹1 lakh: ₹82.68; delivery ₹1 lakh: ₹237.82 incl. DP; Nifty option example: ₹65.11.
Equity tax (TY 2026-27) STCG 20%; LTCG 12.5% above ₹1.25 lakh; intraday speculative (slab, 4-year carry-forward); F&O non-speculative (slab, 8 years, not against salary).
Turnover (0.7) $\sum
Advance tax 15% / 45% / 75% / 100% by 15 Jun / 15 Sep / 15 Dec / 15 Mar if tax ≥ ₹10,000.

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