Understand mutual funds and NAV — Hinglish notes

2.2.1 · Stock-Market › Funds, ETFs & Pooled Vehicles

Mutual Fund KYA hota hai?

NAV exist kyun karta hai? Kyunki basket ki value har din badlti rehti hai jab market prices move karti hain. Aap "basket ka 1/500,000th hissa" tab tak trade nahi kar sakte jab tak yeh agree na ho ki ek slice aaj kitni worth hai. NAV wahi agreed slice price hai.

NAV kaise derive hoti hai — first principles se

Hum ek unit ki fair price chahte hain taaki koi existing investor dilute na ho jab koi naya banda join kare.

Step 1 — Fund jo own karta hai uski value nikalo (Assets). Har holding ki market value aaj ke closing prices par add karo: $A = \sum_{i} p_{i} q_{i}$ jahan $p_{i}$ = security $i$ ki current price, $q_{i}$ = kitni quantity hold ki gayi hai. Koi bhi uninvested cash add karo. Yeh step kyun? Kyunki ownership current market reality reflect karni chahiye, yeh nahi ki kya pay kiya gaya tha.

Step 2 — Fund jo owe karta hai wo subtract karo (Liabilities). $L = management fees payable + expenses + other dues$ Yeh step kyun? Investors sirf wahi own karte hain jo fund apne bills settle karne ke baad bachta hai — net worth.

Step 3 — Units (slices) ki sankhya se divide karo. $NAV = \frac{A - L}{N}$ Yeh step kyun? Har unit identical hai, isliye net worth equally per unit share ki jaati hai.

NAV par kharidna fair kyun hai (dilution argument)

Maano net assets $= V$ , units $= N$ , toh $NAV = V / N$ . Ek naya investor $Δ$ pay karta hai aur $Δ/ NAV$ naye units pata hai.

Naye net assets $= V + Δ$ . Naye units $= N + \frac{Δ}{NAV}$ .

Naya NAV: $\frac{V + Δ}{N + \frac{Δ}{NAV}} = \frac{V + Δ}{N + \frac{Δ N}{V}} = \frac{V + Δ}{\frac{N ( V + Δ )}{V}} = \frac{V}{N} = NAV$

NAV unchanged rehta hai. Yeh prove karta hai ki NAV par transact karna sab investors ko protect karta hai — naya paisa na toh existing holders ko dilute karta hai, na unhe enrich karta hai. Yahi poora point hai.

Figure — Understand mutual funds and NAV

Worked Examples

Common Mistakes (Steel-manned)

Active Recall

Recall Quick self-test (chhupaao aur jawab do)

NAV formula scratch se likho. Liabilities kyun subtract karte hain?
Agar aap ₹5,000 NAV ₹25 par invest karo, kitne units? (Ans: 200)
Kya koi bada naya investor existing holders ko dilute karta hai? Kyun nahi?
Woh SIRF kya cheez hai jo NAV ko din-b-din move karti hai?
Kya ₹10 NAV wala fund ₹100 NAV wale fund se sasta hai?

Recall Feynman: ek 12-saal ke bachche ko samjhao

Socho ek bada fruit basket hai jo kai bachon ne milke kharida. Poora basket own karne ki jagah, har bachche ke paas kuch stickers hain, aur har sticker basket ke ek equal slice ki worth hai. Har shaam hum saare fruits ki price check karte hain, dukaan-dar ko jo paisa dena hai who minus karte hain, aur bacha hua saare stickers mein divide karte hain — woh per-sticker price hi NAV hai. Agar koi naya bachcha aata hai aur sticker price pay karta hai, toh sabhi ke paas pehle jaisi hi value rehti hai — isliye yeh fair hai. Sticker price sirf tab upar ya neeche jaati hai jab fruit mahenga ya sasta hota hai, na ki jab zyada bachche join karte hain.

Connections

Exchange-Traded Funds (ETFs) — intraday market price par trade karte hain NAV ke paas (iNAV), mutual funds ki tarah nahi.
Expense Ratio — woh fees jo liabilities mein aati hain aur quietly NAV reduce karti hain.
Open-ended vs Closed-ended Funds — units NAV par create/redeem hote hain vs fixed units exchange par trade hote hain.
SIP (Systematic Investment Plan) — rupee-cost averaging varying units khareedti hai jab NAV move karta hai.
Portfolio Diversification — basket mein pool karne ka WHY.
Total Return vs Price Return — kyun NAV growth akele returns ko understate karta hai jab dividends pay out hote hain.

Flashcards

Mutual fund kya hota hai?

Ek pooled vehicle jo kai investors se paisa ikattha karta hai, ek manager dwara portfolio mein invest hota hai; investors apne contribution ke proportion mein units hold karte hain.

NAV define karo.

Net Asset Value = (Total Assets − Total Liabilities) ÷ Units Outstanding; fund ki per-unit value.

NAV mein liabilities kyun subtract karte hain?

Investors sirf wahi own karte hain jo fund apne fees aur dues pay karne ke baad bachta hai — net worth.

Open-ended mutual fund NAV kitni baar calculate hoti hai?

Ek baar per din, market close ke baad (end-of-day pricing).

Kya naye investor ka paisa NAV change karta hai?

Nahi — paisa assets aur units dono mein proportionally add hota hai, NAV unchanged rehta hai (dilution-neutral).

Woh sirf kya cheez hai jo NAV ko din-b-din move karti hai?

Fund ki underlying holdings ki market value mein changes (aur accrued fees).

Kya kam-NAV wala fund zyada-NAV wale fund se sasta/better hai?

Nahi — NAV unit count ka ek accounting artifact hai; returns portfolio performance par depend karte hain, NAV number par nahi.

Amount M ko NAV P par invest karne par kitne units milenge?

Units = M ÷ P.

Fund ke total assets ka formula?

A = Σ(price_i × quantity_i) + cash.