Interleaved — Phase 4

Stock-Market interleaved practice

printable — key stays hidden on paper

Instructions: Solve each problem in order. These problems deliberately mix subtopics — before answering, identify which concept is being tested, then apply the correct method. Show reasoning where numeric. Use ...... for any math. No peeking at the key.

Total: 50 marks


Q1. A trader holds a Nifty position for 6 trading days, aiming to capture one price "leg" of a multi-week uptrend. During this period she ignores 5-minute charts entirely and checks positions once per evening. Name her trading style, and state the typical holding-period band for it. (5 marks)

Q2. A stock's daily average traded value is 3.2₹3.2 crore with a bid-ask spread of 2.1%2.1\%. Another has daily value 480₹480 crore and spread 0.03%0.03\%. A scalper wants to place 40 round-trip trades per day. Which stock must the scalper choose and why — quantify the round-trip cost impact from the spread alone on a 1,00,000₹1,00,000 position. (6 marks)

Q3. Match each style to its dominant capital/time requirement profile: (a) Scalping (b) Positional trading (c) Intraday day-trading (d) Swing trading — pick from: [Low screen-time/moderate capital-per-trade; Very high screen-time/fast execution; Full-session screen-time/no overnight risk; Low-to-moderate screen-time/overnight-gap risk]. (4 marks)

Q4. Two instruments have a correlation coefficient of ρ=+0.92\rho = +0.92. A trader is long both. Explain in risk terms why this is dangerous, and compute the portfolio variance if each has variance σ2=4\sigma^2 = 4 and equal weights w=0.5w = 0.5. (6 marks)

Q5. A trend/momentum strategy buys stocks making new 52-week highs. A mean-reversion strategy does the opposite for the same universe. Explain why running both simultaneously on the same stock produces conflicting signals, and state which market condition favours each. (5 marks)

Q6. A trader configures a hotkey: "F1 = Buy market, 100 shares, current symbol." She fires it 3 times in 4 seconds by mistake. Explain the execution-mechanics risk this creates and one platform safeguard that prevents it. (4 marks)

Q7. From a screen of 500 stocks, a swing trader filters to those with: price >100> ₹100, average volume >5> 5 lakh shares, and up >15%> 15\% vs sector index over 20 days. Name the two subtopics combined here and explain what "relative strength" is measuring in the third filter. (5 marks)

Q8. A day-trader claims "40%40\% monthly returns, guaranteed." Given realistic professional expectations, state a plausible sustainable annual return band and explain why the claim is a red flag using compounding: what would 1,00,000₹1,00,000 become in 12 months at 40%40\% compounded monthly? (6 marks)

Q9. Rank these four instruments by typical capital + leverage-risk for a beginner trader, from lowest risk to highest: cash-market liquid stock, Nifty index option (buying), currency pair (USDINR future), commodity future (crude). State the single subtopic this tests. (4 marks)

Q10. An investor and a trader both buy the same stock at 200₹200. Six months later it is 250₹250, dividend 4₹4 paid. The investor is unbothered by a mid-period dip to 170₹170; the trader exited at 185₹185. Explain the mindset difference and why the same price event produced opposite actions. (5 marks)

Answer keyMark scheme & solutions

Q1. (Subtopic 4.1.4 — Swing trading timeframe; distractor overlap with 4.1.5 positional) Answer: Swing trading. Holding period band is typically 2 days to ~2–3 weeks, capturing a single price "swing"/leg. The tell-tale cues: ignoring intraday 5-min charts (so not scalping/intraday) and evening-only monitoring, but only 6 days held — too short for positional (weeks-to-months). Method-choice why: You must distinguish swing from positional. The "one leg of a multi-week trend" + 6-day hold pins it to swing, not positional (which rides the whole trend over months).


Q2. (Subtopic 4.2.2 — liquid vs illiquid; combined with 4.1.2 scalping demands) Answer: Scalper must choose Stock B (₹480 cr value, 0.03% spread). Spread cost per round trip \approx full spread on position:

  • Stock A: 2.1%×1,00,000=2,1002.1\% \times ₹1,00,000 = ₹2,100 per round trip ×40=84,000/\times 40 = ₹84,000/day.
  • Stock B: 0.03%×1,00,000=300.03\% \times ₹1,00,000 = ₹30 per round trip ×40=1,200/\times 40 = ₹1,200/day. Why: Scalping profits per trade are tiny (fractions of a percent), so the 0.03% vs 2.1% spread is the deciding cost. Illiquid stock A's spread alone would obliterate a scalper. Method-choice why: Recognise that scalping's tiny edge forces the liquidity lens — spread cost, not fundamentals.

Q3. (Subtopic 4.1.9 — capital & time requirements per style)

  • (a) Scalping → Very high screen-time / fast execution
  • (b) Positional → Low screen-time / moderate capital-per-trade
  • (c) Intraday → Full-session screen-time / no overnight risk
  • (d) Swing → Low-to-moderate screen-time / overnight-gap risk Method-choice why: Each style is defined by its resource footprint; matching forces recall of the trade-off between time-commitment and overnight exposure.

Q4. (Subtopic 4.2.10 — correlation between instruments) Risk: ρ=+0.92\rho = +0.92 means the two instruments move almost together, so being long both is effectively a concentrated single bet — no diversification; a drop hits both at once. Portfolio variance: σp2=w12σ12+w22σ22+2w1w2ρσ1σ2\sigma_p^2 = w_1^2\sigma_1^2 + w_2^2\sigma_2^2 + 2w_1 w_2 \rho \sigma_1 \sigma_2 =0.25(4)+0.25(4)+2(0.5)(0.5)(0.92)(2)(2)=1+1+1.84=3.84= 0.25(4) + 0.25(4) + 2(0.5)(0.5)(0.92)(2)(2) = 1 + 1 + 1.84 = 3.84 Compare to ρ=0\rho=0 case which gives 2.02.0 — correlation inflates risk from 2.0 to 3.84. Method-choice why: The high ρ\rho is the trap; you must apply the portfolio variance formula rather than treating positions as independent.


Q5. (Subtopics 4.1.6 momentum + 4.1.7 mean-reversion contrasted) Answer: Momentum buys strength (new highs, expecting continuation); mean-reversion sells strength / buys weakness (expecting return to average). On the same stock they generate opposite orders — a logical contradiction.

  • Momentum favours trending markets (strong directional moves).
  • Mean-reversion favours range-bound / sideways markets (oscillation around a mean). Method-choice why: The interleave forces you to see these are regime-dependent opposites, not both-always-valid.

Q6. (Subtopic 4.3.3 — hotkeys & fast order entry; overlaps 4.3.1 execution mechanics) Risk: She unintentionally sends 300 shares (3×100) — over-exposure / accidental position size from fast repeated hotkey fires ("fat-finger" via key repeat). Safeguard: Enable an order confirmation pop-up for market orders, or a max-order-size / rate limit so repeated identical fires within X seconds are blocked. Method-choice why: Speed tools (hotkeys) trade safety for velocity; the fix is a mechanics-level guard.


Q7. (Subtopics 4.2.8 stock screening + 4.2.9 sector leaders/relative strength) Two subtopics: stock screening for trades (price/volume filters) and sector leaders & relative strength (the "up 15% vs sector index" filter). Relative strength: measures whether the stock is outperforming its benchmark/sector — here, beating the sector index by 15% over 20 days flags a sector leader, not just an absolute gainer. Method-choice why: Filter 3 is a comparative metric — recognising "vs sector index" as relative strength (not raw return) is the key distinction.


Q8. (Subtopic 4.1.10 — realistic return expectations) Realistic band: roughly 15–30% per year is considered strong/professional; consistent 40%+ monthly is a red-flag / scam signal. Compounding check: 1,00,000×(1.40)12₹1,00,000 \times (1.40)^{12}: 1.401256.6956,69,000 (≈₹56.7 lakh)1.40^{12} \approx 56.69 \Rightarrow ₹56,69,000 \text{ (≈₹56.7 lakh)} This ~5,600% annual return is implausible/unsustainable — hence red flag. Method-choice why: Apply the compounding formula to expose that a plausible-sounding monthly number explodes to an absurd annual figure.


Q9. (Subtopic 4.2.1 — choose between stocks, indices, derivatives; overlaps 4.2.4/4.2.5/4.2.6) Ranking (lowest to highest risk):

  1. Cash-market liquid stock (no leverage)
  2. Nifty index option buying (loss capped at premium, but time-decay)
  3. Currency future USDINR (leveraged, but low-volatility instrument)
  4. Commodity future crude (high leverage + high volatility) (Note: option-buying's capped loss places it below leveraged futures for beginners; some rank currency below options — acceptable if justified.) Single subtopic: choosing between stocks, indices & derivatives. Method-choice why: Rank by leverage × volatility × capital, not by asset name alone.

Q10. (Subtopic 4.1.1 — trading vs investing mindset) Answer: The investor focuses on long-term value; the dip to ₹170 is noise, so no action. The trader manages positions by price/risk levels; ₹185 breached a stop or invalidated the setup, forcing an exit. Same price event → opposite action because their time horizons and decision triggers differ: investors act on thesis/value, traders act on price/risk-management rules. Method-choice why: Frame the difference as horizon + trigger, not "who's right."

[
  {"claim": "Q2: Stock A round-trip spread cost per day for 40 trades on 1,00,000 is 84,000", "code": "spread=0.021; pos=100000; trips=40; result = (spread*pos*trips)==84000"},
  {"claim": "Q4: portfolio variance with rho=0.92 equals 3.84", "code": "w=0.5; s2=4; s=2; rho=0.92; var = w**2*s2 + w**2*s2 + 2*w*w*rho*s*s; result = abs(var-3.84)<1e-9"},
  {"claim": "Q8: 40% monthly compounded over 12 months exceeds 50x", "code": "growth=(1.40)**12; result = growth>50"}
]