Learn about core-satellite portfolios — Hinglish notes

5.6.6 · Stock-Market › Asset Allocation & Rebalancing

Core-Satellite Portfolio HAI KYA?

Teen Components:

Core = Tumhari Foundation
- Kya: Diversified, passive index funds (S&P 500, Total World Stock, Aggregate Bonds)
- Kyun: Low fees (0.03-0.10%), tax-efficient, market β (systematic risk) track karta hai. Baseline market exposure deta hai taaki tum train miss na karo.
- Kaise: Buy-and-hold, annually rebalance karo.
Satellites = Tumhari Edge
- Kya: Active funds, thematic ETFs, individual stocks, emerging markets overweight, factor strategies (value, momentum, quality)
- Kyun: α (excess return) dhundo ya ek view express karo (jaise, "tech outperform karega"). Higher risk, higher fees, higher potential reward.
- Kaise: Zyada actively trade karo, quarterly monitor karo, higher volatility accept karo.
Allocation Rule:
- Core = 70-80% → Ek broad index core already achievable diversification ka vast majority capture kar leta hai, kyunki ek total-market index fund hazaaron stocks hold karta hai, isliye satellites thoda extra diversification contribute karte hain—unka kaam return/exposure hai, risk reduction nahi (Markowitz, 1952, ne dikhaya ki diversification benefits tezi se flatten ho jaate hain jaise holdings badhti hain).
- Satellite = 20-30% → Downside limit karta hai agar tumhari bets fail ho jaayein. Agar satellites 50% girte hain (core unchanged), total portfolio loss ≈ 0.25 × 50% = 12.5% (core cushion deta hai).

Core-Satellite USE KYUN KAREIN? (First Principles)

Portfolio Theory se Derivation

Goal: Ek given risk $σ_{p}$ ke liye expected return $E [R_{p}]$ maximize karo.

Ek two-asset portfolio ke liye:

R_{p} = w_{c} R_{c} + w_{s} R_{s}

jahan $w_{c} + w_{s} = 1$ , $w_{c} =$ core weight, $w_{s} =$ satellite weight.

Variance:

σ_{p}^{2} = w_{c}^{2} σ_{c}^{2} + w_{s}^{2} σ_{s}^{2} + 2 w_{c} w_{s} ρ_{cs} σ_{c} σ_{s}

Key insight: Agar $σ_{c} ≪ σ_{s}$ (core volatility low, satellite high) aur $ρ_{cs} < 1$ , toh chhoti si satellite allocation return add karti hai bina risk proportionally badhaye.

Expected Return:

E [R_{p}] = w_{c} E [R_{c}] + w_{s} E [R_{s}]

Sharpe Ratio:

S_{p} = \frac{E [ R _{p} ] - r _{f}}{σ _{p}}

Yeh step kyun? Agar satellite ka expected return zyada hai $E [R_{s}] > E [R_{c}]$ (jaise 12% vs. 10%) lekin $w_{s}$ chhota hai (20%), toh portfolio variance increase modest hai ( $w_{s}$ mein quadratic), lekin return increase linear hai. Tum sweet spot mein Sharpe ratio improve karte ho.

Optimal satellite weight (mean-variance, single risky "tilt"). Ek mean-variance investor ke liye jo risk aversion $γ$ ke saath decide kar raha hai ki ek risky asset (excess return $E [R_{s}] - r_{f}$ , variance $σ_{s}^{2}$ ) kitna hold karna hai, utility $U = E [R_{p}] - \frac{γ}{2} σ_{p}^{2}$ maximize karne par classic result milta hai:

w_{s}^{*} = \frac{E [ R _{s} ] - r _{f}}{γ σ _{s}^{2}}

Yeh step kyun? $U = w_{s} (E [R_{s}] - r_{f}) + r_{f} - \frac{γ}{2} w_{s}^{2} σ_{s}^{2}$ lo, $w_{s}$ ke respect mein differentiate karo, zero set karo: $(E [R_{s}] - r_{f}) - γ w_{s} σ_{s}^{2} = 0 \Rightarrow w_{s}^{*} = (E [R_{s}] - r_{f}) / (γ σ_{s}^{2})$ . Higher excess return → zyada satellite; higher variance ya risk aversion → kam. Jab satellite ko core ke upar ek tilt ki tarah treat kiya jaata hai, toh $E [R_{s}] - r_{f}$ ki jagah satellite ka core ke upar α use karo, $α_{s} = E [R_{s}] - E [R_{c}]$ , jisse $w_{s}^{*} \approx α_{s} / (γ σ_{s}^{2})$ milta hai. Typical retail values ke liye ( $α_{s} \approx 2%$ , $σ_{s} \approx 28%$ , $γ \approx 2$ – $4$ ) yeh 20-30% range mein aata hai, jo rule of thumb se match karta hai.

Core-Satellite Portfolio KAISE BANAYEIN (Step-by-Step)

Step 1: Apna Core Define Karo (70-80%)

Asset Classes:

US Stocks (40-50%): VTI (Total Stock Market), SPY (S&P 500)
International Stocks (15-20%): VXUS (Total International), VEA (Developed)
Bonds (15-25%): BND (Total Bond), AGG (Aggregate)

Yeh kyun? Maximum diversification, lowest fees (ER < 0.10%), liquidity.

Example Core (75%):

VTI: 45%
VXUS: 20%
BND: 10%

Step 2: Satellites Choose Karo (20-30%)

Categories:

Individual Stocks (5-10%): High-conviction picks (jaise AAPL, MSFT agar tumhe tech moat mein believe hai)
Sector Tilts (5-10%): XLK (Tech), XLE (Energy) agar tum sector outperformance forecast karte ho
Factor Strategies (5-10%): VTV (Value), MTUM (Momentum), QUAL (Quality)
Geographic Overweight (5%): VWO (Emerging Markets) agar tum EM growth expect karte ho
Alternatives (5%): REIT, commodities, crypto (speculative satellite)

Yeh step kyun? Har satellite ek alag α source target karta hai. Satellites ke andar diversification idiosyncratic risk reduce karti hai.

Example Satellite (25%):

AAPL + GOOGL: 8%
XLK: 7%
MTUM: 5%
VWO: 5%

Step 3: Quarterly/Semi-Annually Rebalance Karo

Rule: Agar koi bhi satellite target se >5% drift kare, toh rebalance karo.

Kyun? Satellites volatile hote hain. AAPL 2x ho sakta hai, 16% tak phool sakta hai. Ab ek single stock crash portfolio ka 16% wipe kar deta hai → core cushion ka purpose defeat ho jaata hai.

Rebalancing Formula: $Shares to trade = \frac{( Current % - Target % ) \times Portfolio Value}{Asset Price}$

Worked Examples

Worked example Example 1:

$100 k k a C or e - S a t e l l i t e P or t f o l i o B anana * * G o a l : * * 75 * * C or e A l l oc a t i o n ($ 75k):**

VTI (US Total Market): $45k (45%)
VXUS (International): $20k (20%)
BND (Bonds): $10 k (10 * * S a t e l l i t e A l l oc a t i o n ($ 25k):**
AAPL (individual stock): $5k (5%)
XLK (Tech sector): $7k (7%)
MTUM (Momentum factor): $8k (8%)
VWO (Emerging Markets): $5k (5%) Yeh split kyun? Core broad market β capture karta hai. Satellites views express karte hain: tech leadership (XLK), momentum persistence (MTUM), EM growth (VWO), AAPL ka moat.

Year 1 Performance:

Core: +10% → $82.5k
AAPL: +50% → $7.5k
XLK: +25% → $8.75k
MTUM: +15% → $9.2k
VWO: -5% → $4.75k
Total: $112.7k (+12.7% vs. market 10%)

Yeh step kyun? Satellites ne 2.7% α add kiya, lekin notice karo VWO ka loss chhota hai (portfolio mein sirf 5% at risk tha). Core ne downside protect kiya.

Common Mistakes (aur Yeh Sahi Kyun Lagte Hain)

Active Recall Flashcards

#flashcards/stock-market

Core-satellite portfolio ke do tiers kya hain? :: Core (70-80%): passive index funds. Satellite (20-30%): active/specialized investments.

Satellites ko 20-30% tak limit kyun karo? :: Satellites fail hone par downside cap karta hai (jaise 50% satellite loss = 12.5% total loss), core ka stabilizing effect preserve karta hai.

Core aur satellites ke saath portfolio return ka formula kya hai?

R_{p} = w_{c} R_{c} + w_{s} R_{s}

jahan

w_{c} + w_{s} = 1

Ek risky satellite ke liye mean-variance optimal weight kya hai?

w_{s}^{*} = (E [R_{s}] - r_{f}) / (γ σ_{s}^{2})

; zyada return → zyada weight, zyada variance/risk-aversion → kam weight.

Agar satellite 5% se 15% portfolio ho jaaye toh kya hoga?

Concentration risk badh jaata hai. Excess sell karke, core khareed ke target allocation restore karo, rebalance karo.

Core mein passive index funds kyun use karo?

Low fees (<0.10%), tax-efficient, market β capture karta hai, diversified (idiosyncratic risk reduce karta hai).

Core-satellite ka key behavioral benefit kya hai?

Core satellite volatility ke dauran panic-selling rok ta hai. Tum stable 70-80% se anchored rehte ho, poora portfolio liquidate karne ki temptation nahi aati.

Satellites kab rebalance karne chahiye?

Jab koi bhi asset target se >5% drift kare, ya ek fixed schedule par (quarterly/semi-annually).

Satellite α aur core β mein kya fark hai?

α = market ke upar excess return (satellite goal). β = systematic market risk (core isse passively capture karta hai).

Research ke bawajood satellites kyun underperform kar sakte hain?

Market efficiency, higher fees, bad luck, ya galat thesis. Core tumhe catastrophically galat hone se bachata hai.

Ek valid satellite thesis ka example do.

"AI adoption cloud computing revenue boost karega, isliye main MSFT/GOOGL ko 3 saal ke liye overweight karta hoon."

Feynman Explain-to-a-12-Year-Old

Recall Socho tumhare paas invest karne ke liye ₹100 hain. Tum smart ho, isliye sab ek piggy bank mein nahi daale!

Core (₹75): Zyada toh ek super-safe piggy bank mein daalo jo locked hai aur dheere dheere par pakka har saal badhta hai—jaise ek bada oak tree lagana. Yeh tumhe overnight ameer nahi banayega, lekin yeh GAYAB NAHI HOGA. Yeh tumhare index funds hain—tum har company ka ek tiny sa hissa own karte ho, toh agar ek fail bhi ho, tum theek rahte ho.

Satellites (₹25): Bache hue se choti choti bets lagao. Shayad tum lemonade stand ke shares kharido kyunki summer aa rahi hai (yeh ek "thesis" hai!). Ya apne dost ke lawn-mowing business mein invest karo. Yeh 2x ho sakta hai ya aadha reh sakta hai, lekin kyunki sirf ₹25 hai, agar yeh fail ho toh rona nahi aayega—aur agar kaam kare, toh bade fayde mein ho!

Dono kyun? Oak tree (core) ensure karta hai ki tum roz khana khao. Lemonade bet (satellite) tumhe cycle kharidne ka chance deta hai. Agar lemonade fail ho, tab bhi tree hai. Agar succeed kare, toh cycle bhi hai AUR tree bhi. Yahi core-satellite hai: safety + dreams.

Mnemonic & Memory Aids

Connections 5.6.01-Define-asset-allocation-and-its-importance – Core-satellite ek asset allocation framework hai

5.6.02-Understand-diversification-principles – Core broad diversification achieve karta hai; satellites concentrated bets add karte hain
5.6.04-Implement-strategic-vs-tactical-allocation – Core = strategic (long-term), satellites = tactical (opportunistic)
5.6.05-Execute-rebalancing-strategies – Satellites ko target par rebalance karna critical hai
3.4.01-Introduction-to-index-funds-and-ETFs – Core exclusively index funds use karta hai
4.2.03-CalculateSharpe-ratio – Core-satellite Sharpe ratio optimize karta hai (return per unit risk)
6.3.02-Understand-capital-gains-tax – Satellites rebalance karne par taxes trigger hote hain; accordingly plan karo
2.5.01-Recognize-behavioral-biases – Satellites overconfidence tempt karte hain; core humility enforce karta hai

Summary: 80/20 Core Concepts

Agar aur kuch yaad na rahe:

70-80% core (passive index funds), 20-30% satellites (active bets). Core = stability, satellites = α.
Jab satellites target se >5% drift karein rebalance karo. Concentration risk prevent karta hai.
Har satellite ko ek written thesis chahiye. No thesis = no satellite.
Core tumhe satellite failures se bachata hai. Downside capped hai; upside leveraged hai.

Yeh strategy un logon ke liye hai jo: Accept karte hain ki woh shayad market beat nahi kar sakte, lekin ek disciplined, risk-managed approach ke saath try karne ki optionality chahte hain. Yeh humility + ambition ek portfolio mein hai.