6.6.6 · Stock-Market › Factor & Behavioral Finance
Classical finance assume karta hai ki investors rational hain — wo sab information perfectly process karte hain aur hamesha expected utility maximize karte hain. Behavioral finance kehti hai: humans calculators nahi hain, wo pattern-dhundhne wale, loss-se-darne wale, kahani-pasand karne wale apes hain. Systematic mental shortcuts (heuristics) biases ban jaate hain jo prices ko fair value se door dhakelte hain — aur isse risk bhi paida hota hai aur opportunity bhi.
Ek behavioral bias ek systematic (repeatable, predictable) galti hai judgment ya decision-making mein jo rational, utility-maximizing benchmark se hati hui hoti hai. "Systematic" yahan key word hai: random galtiyan cancel ho jaati hain; biases poori crowd ko ek hi direction mein dhakelte hain , isliye ye markets ko move karte hain aur inhe instantly arbitrage karke hataaya nahi ja sakta.
Do broad families hain:
Cognitive biases — reasoning/information-processing mein galtiyan (faulty logic, bad statistics). Aksar education/data se theek ho sakti hain.
Emotional biases — feelings se driven galtiyan (dar, pachtawa, pride). Theek karna mushkil hota hai; inhe argue karke nahi, manage karke handle karna padta hai.
Tera brain evolve hua hai taki uncertainty mein limited energy ke saath fast decisions le sake. Isliye wo heuristics (rules of thumb) use karta hai. Ek heuristic savanna mein efficient hoti hai lekin financial markets mein misfire karti hai — yahan environment randomness, feedback loops, aur low signal-to-noise se bhara hota hai.
Intuition Shortcut bias kyun ban jaata hai
Decision quality ko define karo as accuracy per unit of mental effort. Evolution ne speed aur survival ke liye optimize kiya, na ki stock returns par statistical correctness ke liye. Jab environment (markets) us environment se alag hota hai jiske liye shortcut bana tha, to shortcut ek consistent offset produce karta hai — ek bias.
Definition Tum apni khud ki knowledge, precision, ya control ko overestimate karte ho.
Kaise dikhta hai: excessive trading, under-diversification, tight (bahut narrow) forecast ranges.
Cost: zyada trading → zyada fees + bura timing → lower net returns.
Example: "Stock pichle saal ₹1000 tha, toh ₹600 sasta hai" — tumne ₹1000 par anchor kar liya, yeh bhool ke ki fundamentals badal gaye.
Isse disposition effect hota hai: winners bahut jaldi bech do, losers bahut der tak rokho (loss realize karne se bachne ke liye).
Definition Tum evidence dhundhte aur usse zyada weight dete ho jo
tumhari pehle se belief confirm kare, aur contradicting evidence ko ignore karte ho.
Definition Crowd ke peeche chalna kyunki "itne saare log galat nahi ho sakte" — bubbles aur crashes drive karta hai.
Definition Tum probability judge karte ho is basis par ki
examples kitni aasaani se dimag mein aate hain . Ek recent crash statistics se zyada likely lagti hai.
Definition Paisa differently treat karna
arbitrary labels ke basis par ("gambling money" vs "salary"), is fact ko violate karte hue ki paisa fungible hota hai.
Prospect Theory smooth utility curve ki jagah ek value function use karta hai jo reference point r par kinked hoti hai (usually tumhara purchase price ya current wealth):
v ( x ) = { ( x − r ) α − λ ( r − x ) β x ≥ r ( gains, concave ) x < r ( losses, convex, steeper )
"Fair coin flip nahi lunga" result derive karo. Offer: G jito ya L haro 50/50 mein. Ek rational risk-neutral person accept karta hai agar G ≥ L . Lekin loss aversion ke under (simplicity ke liye α = β = 1 lo, reference 0 par):
Accept if 2 1 G − 2 1 λ L ≥ 0 ⟹ G ≥ λ L
Toh λ = 2 ke saath, tum demand karte ho ki jo jeet sako wo kam se kam do baar ho jo haar sako — sirf ek fair coin flip ke liye. Woh ek inequality disposition effect, insurance over-buying, aur crashes ke waqt "freezing" ko explain karti hai.
Worked example Example 1 — Disposition effect
Tumne Stock A ₹100 mein kharida (ab ₹80) aur Stock B ₹100 mein kharida (ab ₹120). Tumhe cash chahiye aur ek bechna hai. Zyaadaatar log B (winner) bechte hain.
Yeh step kyun (reference identify karo): reference = ₹100 purchase price.
Yeh step kyun (value function apply karo): A bechne se loss realize hota hai (x < r , λ > 1 se weighted) → painful; B bechne se gain realize hota hai → pleasant.
Rational check: "sahi" choice future prospects par depend karti hai, na tumhare entry price par (jo ek sunk cost hai). Winner ko pain se bachne ke liye bechna = disposition effect .
Worked example Example 2 — Anchoring in valuation
Analyst pehle "target price ₹500" sunta hai. Baad mein ek DCF ₹350 deta hai. Woh "dono ke beech split" karke ₹425 par aa jaata hai — matlab ( 500 + 350 ) /2 = ₹425 .
Yeh step kyun: ₹500 anchor ne uska estimate upar khich liya jabki uska apna model ₹350 bol raha tha.
Fix: estimate pehle banao, doosron ke targets dekhne se pahle (Forecast-then-Verify).
Worked example Example 3 — Fair-coin flip math
Koi offer karta hai: fair coin par ₹1000 jito ya ₹600 haro. Rational (risk-neutral): accept karo, EV = + ₹200 .
Yeh step kyun (loss-averse test): chahiye G ≥ λ L = 2.25 × 600 = ₹1350 .
Kyunki ₹1000 < ₹1350, ek loss-averse person ek +EV bet refuse karta hai. Unka felt value = 2 1 ( 1000 ) − 2 1 ( 2.25 ) ( 600 ) = 500 − 675 = − ₹175 < 0 .
Common mistake "Biases sirf beginners ko hurt karti hain — pros rational hote hain."
Kyun sahi lagta hai: professionals ke paas training aur data hota hai. Reality/fix: overconfidence expertise ke saath badhti hai; pros herd karte hain (career risk) aur consensus par anchor karte hain. Biases hard-wired hain, knowledge gaps nahi. Fix karo systems (rules, checklists) se, sirf smarts se nahi.
Common mistake "Loss aversion = risk aversion."
Kyun sahi lagta hai: dono downside avoid karte hain. Fix: risk aversion wealth levels ke variance ke baare mein hai; loss aversion reference point par ek kink ke baare mein hai. Ek loss-averse person loss domain mein risk-seeking ho sakta hai (value function r ke neeche convex hai) — isliye log "get back to even" ke liye gamble karte hain.
Common mistake "Agar sab biased hain, to market hamesha galat honi chahiye — easy money."
Kyun sahi lagta hai: biases prices move karte hain. Fix: biases ko time karna aur arbitrage karna mushkil hai, aur uski limits/costs hain. Mispricing persist ho sakti hai ya aur buri ho sakti hai ("markets irrational rahenge isse zyada der tak jitni der tum solvent reh sakte ho"). Behavioral edge ≠ guaranteed profit.
Recall Feynman: ek 12-saal ke bacche ko samjhao
Socho tumhare brain mein ek "quick-answer" button hai taki tumhe har cheez ke baare mein mushkil se sochna na pade — ball se bachne ke liye yeh great hai, lekin paison ke liye bura hai. Ek quirk: haarna jeetne se do baar bura lagta hai. Toh agar main tumhe coin flip offer karun jahan tum ₹10 jito ya ₹10 haro, tum kahoge "nahi thanks," even though yeh bilkul fair hai. Stock market mein isse log buri stocks rok lete hain (break even ki umeed mein) aur acchi stocks bahut jaldi bech dete hain. Trick jaanna tumhe khud ko yeh karte hue pakadne deta hai.
"OH CLAARM" bade biases ke liye: O verconfidence, H erding, C onfirmation, L oss aversion, A nchoring, A vailability, R ecency, M ental accounting.
Aur magic number ke liye: loss aversion ≈ 2.25 → "ek loss dhai gains jitna bhaari lagta hai."
Ek error ko "bias" kya banata hai, random noise nahi? Yeh systematic hota hai — yeh poori crowd ko predictably ek hi direction mein dhakelta hai, toh cancel nahi hota aur prices move kar sakta hai.
Cognitive vs emotional bias? Cognitive = faulty reasoning/statistics (data se theek ho sakta hai); Emotional = feelings jaise dar/pachtawa/pride se driven (manage karna padta hai).
Disposition effect? Loss realize karne se bachne ke liye winners bahut jaldi bechne aur losers bahut der tak rokne ki tendency.
Typical empirical loss-aversion coefficient λ? Lagbhag 2.25 — losses ~2.25× barabar gains se zyada intense lagte hain.
Loss aversion ke under (α=β=1), fair 50/50 win-G/lose-L bet kab accept karte ho? Tabhi jab G ≥ λ L , matlab potential win, potential loss ke λ times se zyada hona chahiye.
Ek loss-averse person risk-SEEKING kyun ho sakta hai? Value function loss domain mein convex hai, toh wo "get back to even" karne ke liye gamble karte hain.
Anchoring bias? Value estimate karte waqt pehle dekhe gaye number par zyada rely karna.
Availability vs recency bias? Availability = recall ki aasaani se probability judge karo; recency = forecasts mein most recent events ko zyada weight do.
Mental accounting error? Paisa arbitrary label ke basis par differently treat karna, yeh ignore karte hue ki paisa fungible hota hai.
Overconfidence returns kyun kam karta hai? Isse over-trading aur under-diversification hoti hai → zyada costs aur kharaab risk-adjusted returns.
Prospect Theory — loss aversion ka formal model
Efficient Market Hypothesis — rational benchmark jise biases violate karti hain
Factor Investing — kuch factors (momentum, value) bias-driven mispricing ke liye paid premia ho sakte hain
Limits to Arbitrage — biases instantly correct kyun nahi hoti
Risk Aversion vs Loss Aversion
Herding and Market Bubbles
Brain heuristics for speed
Prices deviate from fair value
Excess trading & low returns