2.2.6 · Stock-Market › Funds, ETFs & Pooled Vehicles
Ek mutual fund bas bahut saare investors ka pool of money hota hai, jise ek manager securities mein invest karta hai. Fund ka type decide hota hai woh kya kharidta hai iske hisaab se: equity funds stocks kharidta hai (growth, high risk), debt funds bonds kharidta hai (income, low risk), aur hybrid funds dono kharidta hai (balance).
Intuition Funds ko is tarah kyun divide karte hain?
Har investor risk–return trade-off par kahin na kahin khada hota hai. High return lene ke liye high volatility accept kiye bina kaam nahi chalta. Isliye industry ne teen "shelves" banaye:
Wealth grow karna chahte ho aur swings sehne ki himmat hai → equity.
Capital preserve karna chahte ho aur steady interest chahiye → debt.
Dono mein se kuch chahiye → hybrid.
Yeh categories seedha do fundamental asset classes se map hoti hain: ownership (equity = aap ek company ka ek hissa own karte ho) vs lending (debt = aap paisa udhaar dete ho aur interest wapas paate ho).
Ek fund jo primarily (usually ≥65% ) stocks/shares mein invest karta hai. Aap kai companies ke part-owner ban jaate ho. Returns aate hain capital appreciation (price rise) aur dividends se. High risk, high long-term return.
Ek fund jo fixed-income securities mein invest karta hai — government bonds, corporate bonds, treasury bills, commercial paper. Aap effectively ek lender ho. Returns aate hain interest (coupon) aur chhote price changes se. Lower risk, lower return.
Ek fund jo ek defined proportion mein equity aur debt dono rakhta hai (jaise 60% equity / 40% debt). Iska aim growth aur stability ko balance karna hai. Risk pure equity aur pure debt ke beech mein hota hai.
Ek fund units issue karta hai. Yeh jaanne ke liye ki ek unit kitne ka hai, fund ke paas jo kuch bhi hai woh sab lo, usse jo bhi woh dene wala hai woh ghataao, aur units ki sankhya se divide karo. Woh per-unit worth hi Net Asset Value hai.
Ek period mein tumhara return NAV mein fractional change hai (plus koi bhi payout):
R = NAV start NAV end − NAV start + D
jahan D = distributions per unit.
Intuition Do engines ko blend karna
Ek hybrid fraction w equity mein aur ( 1 − w ) debt mein rakhta hai. Har rupaya uss bucket ka return kamaata hai jisme woh baitha hai. Isliye fund ka return dono ka money-weighted mix hota hai.
Intuition Diversification ek free lunch hai
Kyunki equity aur debt bilkul ek saath nahi chalte (correlation ρ < 1 ), unke ups and downs partly cancel ho jaate hain. Isliye combined volatility individual volatilities ke weighted-average se kam hoti hai.
Worked example Example 1 — NAV Calculate Karna
Ek fund ke paas ₹500 crore ki securities aur ₹20 crore cash hai. Expenses mein ₹4 crore dena baaki hai. 8 crore units outstanding hain.
NAV = 8 ( 500 + 20 ) − 4 = 8 516 = ₹64.50
₹4 cr kyun ghataate hain? Liabilities tumhari nahi hain; sirf net worth unit-holders ki hai.
8 cr se kyun divide karte hain? Har unit uss net worth ka ek barabar hissa hai.
Worked example Example 2 — Hybrid blended return
Ek 70/30 hybrid: equity part ne is saal + 15% return diya, debt part ne + 6% diya.
r H = 0.70 ( 0.15 ) + 0.30 ( 0.06 ) = 0.105 + 0.018 = 0.123 = 12.3%
0.70 se weight kyun karte hain? Kyunki paise ka 70% actually equity mein tha — bada bucket, zyada influence.
Note: ek kharaab equity year mein (maano − 20% ), r H = 0.7 ( − 0.20 ) + 0.3 ( 0.06 ) = − 0.122 → debt cushion ne crash ko −20% se −12.2% tak soft kar diya.
Worked example Example 3 — Diversification se risk kam hota hai
σ E = 20% , σ D = 5% , w = 0.6 , ρ = 0.2 .
Vols ka naive weighted average = 0.6 ( 20 ) + 0.4 ( 5 ) = 14% .
Sach mein: σ H 2 = 0. 6 2 ( 2 0 2 ) + 0. 4 2 ( 5 2 ) + 2 ( 0.6 ) ( 0.4 ) ( 0.2 ) ( 20 ) ( 5 )
= 0.36 ( 400 ) + 0.16 ( 25 ) + 0.48 ( 20 ) = 144 + 4 + 9.6 = 157.6
σ H = 157.6 ≈ 12.55% .
14% se kam kyun? Kyunki ρ = 0.2 < 1 : equity aur debt ek saath crash nahi karte, isliye combined swing chhoti hoti hai. Woh 12.55% < 14% ka gap diversification benefit hai.
Common mistake "Debt funds FD ki tarah risk-free hote hain."
Kyun sahi lagta hai: bonds fixed interest dete hain, guaranteed lagtaa hai.
Fix: Debt funds mein interest-rate risk hota hai (jab rates badhte hain, bond prices girte hain) aur credit risk hota hai (issuer default kar sakta hai). NAV gir sakta hai. Woh lower risk hain, no risk nahi.
Common mistake "Ek hybrid ka risk sirf equity aur debt risk ka average hota hai."
Kyun sahi lagta hai: return hai ek weighted average, toh risk bhi hona chahiye.
Fix: Risk LINEAR nahi hai. Kyunki ρ < 1 hai, σ H < w σ E + ( 1 − w ) σ D . Variance mein squares aur ek covariance term use hoti hai — Example 3 dekho.
Common mistake "Zyada NAV matlab behtar/mehenga fund."
Kyun sahi lagta hai: high price = premium, stocks ki tarah.
Fix: NAV bas total-worth ÷ units hai. ₹200 NAV wala fund ₹20 waale se "mehenga" nahi hai; tumhara return NAV mein % change par depend karta hai , uske absolute level par nahi.
Common mistake "Equity funds hamesha debt funds se behtar hote hain."
Kyun sahi lagta hai: long-run equity returns zyada hote hain.
Fix: Chhote horizons par ya downturns mein, equity 30–50% tak gir sakta hai jabki debt positive rehta hai. Horizon aur risk tolerance sahi choice decide karte hain.
Recall Feynman: 12-saal ke bachche ko samjhao
Socho ek badi piggy bank jisme bahut saare bachche paisa daalaate hain aur ek samajhdaar adult use invest karta hai.
Agar adult companies ke chhote-chhote tukde kharide (jaise ek toy factory ka thoda sa hissa own karna), woh hai equity fund — bahut grow kar sakta hai lekin bahut gir bhi sakta hai.
Agar adult paisa udhaar de aur interest collect kare (jaise bank hona), woh hai debt fund — steady, chhota, thoda safe.
Agar adult aadha-aadha kare, woh hai hybrid fund — theek-thaak grow karta hai aur zyada daraata bhi nahi.
Tumhare piggy bank ke ek share ki value = (jo kuch bhi uske paas hai − jo kuch bhi woh dene wala hai) ÷ shares ki sankhya. Woh hai NAV!
Mnemonic Teen ko yaad rakho
"Own, Lend, Blend."
Own stocks → E quity.
Lend money → D ebt.
Blend both → H ybrid.
Net Asset Value (NAV) — teeno ke liye per-unit pricing engine.
Risk-Return Tradeoff — woh axis jis par yeh funds rakhhe jaate hain.
Portfolio Diversification — kyun hybrid risk < weighted-average risk.
ETFs vs Mutual Funds — same underlying baskets, alag trading mechanics.
Bond Pricing & Interest Rate Risk — kyun debt-fund NAV move karta hai.
Asset Allocation — apne goals ke liye w choose karna.
Kaunsi defining feature ek fund ko equity/debt/hybrid classify karti hai? Woh kya invest karta hai — stocks (equity), bonds/fixed-income (debt), ya dono (hybrid).
Ek fund ko equity fund kehlaane ke liye typically kitna minimum equity allocation chahiye? Lagbhag 65%.
NAV formula likho. NAV = (Total Assets − Total Liabilities) / Units Outstanding.
NAV mein liabilities kyun ghataate hain? Liabilities unit-holders ki nahi hoti; sirf net worth unke beech divide hoti hai.
Equity fund mein return ke sources kya hain? Capital appreciation (price rise) + dividends.
Debt fund mein return ke sources kya hain? Interest/coupon payments + chhote bond-price changes.
Hybrid fund ke expected return ka formula kya hai? r_H = w·r_E + (1−w)·r_D, jahan w = equity weight.
Two-asset portfolio variance formula kya hai? σ² = w²σ_E² + (1−w)²σ_D² + 2w(1−w)ρσ_Eσ_D.
Hybrid risk do risks ke weighted-average se kam kyun hota hai? Kyunki correlation ρ < 1 hai, isliye equity aur debt ke swings partly cancel ho jaate hain (diversification).
Kya debt fund risk-free hai? Nahi — isme interest-rate risk aur credit risk hota hai; NAV gir sakta hai.
Kya zyada NAV matlab behtar fund hai? Nahi — return NAV mein % change par depend karta hai, uske absolute level par nahi.
Ek kharaab equity year mein hybrid fund pure equity fund se kam kyun girta hai? Debt portion earn karta hai ya steady rehta hai, jo equity losses ko cushion karta hai.
Mutual Fund - pool of money
Ownership - own a company slice
Return = NAV change + payout