2.2.9
Gold ETF tumhe gold rakhne deta hai bina vault ke , aur International Fund tumhe foreign companies ka ownership deta hai bina foreign brokerage account ke . Dono wrappers hain jo "aisi asset jo easily hold nahi hoti" ko units mein convert kar dete hain jo normal exchange par ya normal fund ke through kharidi ja sakti hain .
Intuition Har ek kis problem ko solve karta hai
Physical gold illiquid hota hai, making charges hote hain, storage cost hoti hai, aur purity ka risk hota hai. Tumhe price exposure chahiye , heavy locker nahi.Foreign stocks (Apple, Nvidia) directly khareedna mushkil hai — tumhe overseas accounts chahiye, forex handling chahiye, aur tax paperwork bhi.
Financial industry ka jawab: messy cheezein ek baar pool karo, phir tumhe clean units becho. Tumhe underlying asset ka return milta hai minus ek choti si fee.
Gold ETF ek exchange-traded fund hai jiske units physical gold se backed hote hain (typically 99.5% purity), jahan 1 unit ≈ ~1 gram gold ki value (fund ke hisaab se vary karta hai). Yeh stock exchange par ek share ki tarah trade hota hai, tumhare regular demat account mein.
YEH KYA HOLD KARTA HAI: vaulted physical gold + ek choti si cash buffer.
TUM ISSE KAISE ACCESS KARTE HO: kisi bhi broker ke through intraday market price par units buy/sell karo.
Worked example Worked: gold ETF ka NAVFund ke paas 500,000 g gold hai P = ₹6 , 000/ g Total Assets = 500000 × 6000 + 1000000 = ₹3 , 00 , 10 , 00 , 000 Yeh step kyun? Pehle gold ki value karo (yeh main asset hai), phir cash add karo — liabilities yahan nahi ghatayi jaati.
NAV = 3 , 00 , 00 , 000 3 , 00 , 10 , 00 , 000 − 500000 = 3 , 00 , 00 , 000 3 , 00 , 05 , 00 , 000 = ₹100.02 Yeh step kyun? Ab liabilities ek baar ghataao, units se divide karo — yeh per-unit value ki definition hai.
Worked example Worked: 3 saalon mein fee dragGold 3 saalon mein total 30% badhta hai, expense ratio e = 0.5% = 0.005 = 1.30 = 1.30 × ( 1 − 0.005 ) 3 = 1.30 × 0.9851 = 1.2806 Yeh step kyun? Har saal fund 0.5% ( 1 − e ) ₹1,940 ka gap convenience ki cost hai.
Definition International FundInternational Fund ek mutual fund hai jo apne home country ke bahar listed securities mein invest karta hai (jaise US tech, emerging markets). Zyaadatar Indian ones fund-of-funds (FoF) hote hain: yeh directly stocks pick karne ki jagah kisi existing overseas fund/ETF ki units khareedta hai.
TUMHARA RETURN KYA DRIVE KARTA HAI: do engines, ek nahi — foreign asset ki price aur currency.
Worked example Worked: US fund with rupee depreciationS_0 = ₹80/\$$ par invest karo. US index r_$ = 12%g aink a r t ahai . R u p ee w e ak e nh o k a r ho jaata hai.
$$r_{fx} = \frac{84}{80}-1 = 5\%$$
$$1+r_{\text{INR}} = 1.12 \times 1.05 = 1.176 \Rightarrow r_{\text{INR}} = 17.6\%$$
*Yeh step kyun?* Growth factors multiply karo — asset aur currency saath compound karte hain, sirf add nahi hote.
Note karo 12% + 5% = 17%; e x t r a cr oss t er m
Worked example Worked: jab currency hurt karti haiWohi 12% strengthen hokar $S_1 = ₹76/$$ ho jaata hai.
r f x = 80 76 − 1 = − 5% , 1 + r INR = 1.12 × 0.95 = 1.064 ⇒ 6.4% Yeh step kyun? Stronger rupee matlab har dollar wapas aane par kam rupees milte hain — currency tumhara kuch gain kha jaati hai.
Underlying: Gold ETF → physical gold; International Fund → foreign equities.Vehicle: Gold ETF exchange par intraday trade karta hai (demat chahiye); zyaadatar Intl funds mutual funds hain (day-end NAV par kharido, demat nahi chahiye).Extra risk: Gold ETF → gold price + tiny tracking error; Intl fund → asset price + currency risk .Purpose: Dono diversifiers hain — gold crises/inflation hedge karta hai, intl funds single-country risk hedge karte hain.
Common mistake "Gold ETF mujhe gold ka exact return deta hai."Kyun sahi lagta hai: unit gold price closely track karta hai, isliye 1:1 lagta hai.
Fix: expense ratio aur small tracking error matlab tumhe ( 1 − e ) t
Common mistake "Mera US fund gira lekin S&P badha — fund manager ne mujhe cheat kiya."Kyun sahi lagta hai: tumne US-index return expect kiya tha.
Fix: tum r_\ + r_{fx}$ earn karte ho. Agar rupee kaafi strengthen hua, toh currency ne asset gain wipe out kar diya. Kisi ne cheat nahi kiya — yeh currency engine hai.
Common mistake "International fund = mujhe US brokerage / demat chahiye."Kyun sahi lagta hai: yeh foreign stocks hold karta hai, complicated lagta hai.
Fix: fund saari overseas mechanics handle karta hai. Tum bas FoF ko ₹ mein kisi bhi domestic mutual fund ki tarah khareedte ho.
Common mistake "Weak rupee mere investments ke liye hamesha bura hota hai."Kyun sahi lagta hai: weak currency buri news lagti hai.
Fix: dollar assets mein rupee investor ke liye, weakening rupee (S ↑ badhata hai.
Recall Gold ETF kya hai aur uske units kahan se aate hain?Ek exchange-traded fund jo physical gold se backed hai; 1 unit ≈ ~1g gold ki value, demat account mein rakha jaata hai aur exchange par trade hota hai.
Recall International fund ka rupee return scratch se likho.K \to D_0=K/S_0 \to D_0(1+r_\ ) \to \times S_1. D e t ahai , y aani
Recall ETF raw gold se thoda underperform kyun karta hai?Kyunki expense ratio ki wajah se: value ( 1 − e ) t
Recall Rupee depreciation ek US-fund investor ko help karta hai ya hurt?Help karta hai — S 1 / S 0 > 1
Recall Feynman: dono cheezein ek 12-saal ke bachche ko explain karoGold ETF: gold coin kharidkar box mein chhupane ki jagah, tum apne phone par ek "gold ticket" khareed lo. Jab gold price badhti hai, tumhara ticket zyaada value ka hota hai — koi box nahi chahiye.
International Fund: tumhara paisa America ki trip par jaata hai, famous companies ka thoda sa hissa kharidta hai, phir wapas aata hai. Tum tab earn karte ho jab companies badhti hain aur jab dollar tumhara paisa wahaan tha tab rupee se "stronger" ho jaata hai.
"GOLD in a box, WORLD in a wallet — aur WALLET ke return ke saath FOREX tail hoti hai."
(Gold ETF = boxed gold liquid banaya; Intl fund = world exposure; aur kabhi mat bhoolo currency saath chal rahi hai.)
Gold ETF — ek unit ke peeche kya hai? ~1 gram physical gold (≈99.5% purity), fund ke vault mein rakha hua.
Gold ETF ke liye demat account chahiye kya? Haan — yeh exchange par share ki tarah trade karta hai.
Fund ka NAV formula (Total Assets − Total Liabilities) / Number of units, jahan Total Assets = gold + cash.
Gold ETF spot gold se underperform kyun karta hai? Expense ratio drag: value (1−e)^t se scale hoti hai.
International fund rupee return formula (1+r_INR) = (1+r_) ( S 1/ S 0 ) , t o h r I N R ≈ r
International fund ke do return engines Foreign asset ki price move aur currency (forex) move.
Rupee depreciate hota hai (S badhta hai): US-fund return par effect? Rupee return badhta hai (currency tailwind).
Zyaadatar Indian international funds kis structure mein hote hain? Fund-of-funds (FoF) jo existing overseas fund/ETF mein invest karta hai.
Gold ETF vs International fund ka key extra risk Gold ETF: tracking error; Intl fund: currency risk.
Investors gold + international exposure kyun add karte hain? Diversification — crises/inflation aur single-country risk hedge karne ke liye.
Exchange-Traded Funds (ETFs) Mutual Funds vs ETFs Net Asset Value (NAV) Expense Ratio & Tracking Error Currency Risk & Forex Fund of Funds (FoF) Portfolio Diversification Gold as an Asset Class
problem: gold is illiquid, has storage cost
problem: foreign stocks need overseas accounts
backed by 99.5% physical gold
Slight Underperformance vs raw gold
