ROI Calculator — Return On Investment

ROI Calculator — Mukammal Guide Roman Urdu Mein

Investment decision lene se pehle sab se zaroori sawal yeh hota hai ke "mera paisa kitna grow karega?" Return on Investment (ROI) woh metric hai jo batata hai ke aap ne kitna profit kamaya apne invested amount ke muqable mein. Lekin sirf total % dekhna kafi nahi — sahi comparison ke liye annualized return (CAGR) aur inflation-adjusted return bhi dekhna zaroori hai. Hamara calculator yeh sab ek click mein calculate karta hai.

Bohat log Pakistan mein paise gold mein daal dete hain, phir 5 saal baad dekhte hain ke paisa double ho gaya — yaani 100% return. Lekin asal mein yeh sirf 14.9% annualized return (CAGR) hai, jo inflation (10-12%) ke baad sirf 3-5% real return bachta hai. Is liye simple ROI ghalat impression de sakta hai.

ROI Kya Hai? — Formula Explanation

ROI ka basic formula bohot simple hai:

ROI % = (Final Value − Initial Investment) / Initial Investment × 100

Example: agar aap ne Rs 500,000 invest kiya, 3 saal baad value Rs 950,000 hai, to:

• Total Profit = Rs 950,000 - Rs 500,000 = Rs 450,000
• ROI % = (450,000 / 500,000) × 100 = 90%
• Annualized ROI (CAGR) = (950,000/500,000)^(1/3) - 1 = 23.86% per year

Yahan 90% ka total ROI lagna bada lagta hai, lekin asal mein yeh sirf 23.86% per year hai — jo bohot acha return hai, lekin samajhna zaroori hai.

ROI vs CAGR — Farq Samjhein

Total ROI simple percentage hai jo batata hai aap ka paisa total kitna grow hua — lekin time period ko ignore karta hai. CAGR (Compound Annual Growth Rate) batata hai ke average saalana kitna return mila — assuming compounding. CAGR is liye better metric hai kyunke different time periods ke investments ko compare karne ke liye necessary hai.

Example: Investment A ne 10 saal mein 200% return diya (20% simple annual), Investment B ne 5 saal mein 150% return diya (30% simple annual). CAGR calculate kar ke: A ka CAGR = 11.6%, B ka CAGR = 20.1%. Yaani B behtar hai!

Simple ROI vs Annualized ROI vs IRR — Kab Kya Use Karein?

Metric	Best For	Limitation
Simple ROI	Quick estimate, single period	Time ignore karta hai
Annualized ROI (CAGR)	Multi-year comparison	Assumes single entry/exit
IRR (Internal Rate of Return)	Multiple cash flows (SIP, withdrawals)	Complex calculation

Pakistan Investment Options — Detailed Analysis

1. Pakistan Stock Exchange (PSX) — 15-18% CAGR

KSE-100 index historically 15-18% annualized return de raha hai 10-15 saal ke horizon par. 2015 mein index 30,000 tha, 2024 mein 80,000+ hai — yaani ~11% CAGR in PKR terms. Lekin agar dividend yield (4-5%) add karein to total return 15-16% ho jata hai. PSX volatility high hai — 2017 ka peak 53,000 tha, 2019 mein 28,000 tak gir gaya, phir 2024 mein 80,000+ ho gaya. Long-term horizon (7-10+ saal) ke liye best — short-term speculation risky hai.

2. Mutual Funds (Equity) — 12-15% CAGR

Pakistan ke top equity mutual funds (NIT, UTPRF, NBMRF, ABL Asset Allocation) 12-15% annualized return de rahe hain. Advantage yeh hai ke aap small amounts se invest kar sakte hain (Rs 1,000 se bhi), professional management milti hai, aur diversification automatic hai. Disadvantage — 1.5-2% annual management fee chhoti hai. Index funds/ETFs fees low rakhte hain.

3. Gold — 13-15% CAGR

Pakistan mein gold PKR terms mein 13-15% annualized return de raha hai (PKR depreciation + global gold appreciation). 2010 mein tola Rs 40,000 tha, 2024 mein Rs 240,000+ hai — yaani ~15% CAGR. Gold inflation hedge hai — jab PKR girta hai ya inflation high hota hai, gold urta hai. Lekin gold income generate nahi karta (no dividend/rent), aur storage aur making charges loss hote hain.

4. Property — 8-12% CAGR

Pakistan ke major cities mein property historically 8-12% annualized return de rahi hai (capital appreciation). Plus rental yield 4-7% milti hai — total return 12-19% ho sakta hai. Lahore DHA, Bahria Town, Islamabad F/G sectors, Karachi DHA sab ne 8-15% annualized appreciation dekha hai past 10 saal mein. Lekin property low liquidity hai (sale mein 3-6 months lagte hain), transaction costs high (5-8%), aur lump sum chahiye (Rs 50 lakh+).

5. National Savings (SSC/DSC) — 9-11% CAGR

Government-backed National Savings schemes (Regular Income Certificates, Defense Savings Certificates) 9-11% annualized return de rahe hain. Yeh safest investment hai (sovereign backed), lekin return fixed hai aur inflation se thora kam. Behbood Savings Certificate (widows/seniors only) 10-12% deta hai. Tax 10% withholding (filer) on profit.

6. Bank Deposits — 8-10% CAGR

Savings accounts 6-9% aur term deposits 9-11% de rahe hain (depending on KIBOR). Liquidity excellent hai, lekin return inflation se marginally up. Tax 15% withholding (filer). Saving account se 5-7% return = real return negative (after 10% inflation). Sirf emergency fund ke liye use karein, long-term investment ke liye nahi.

7. T-Bills & PIBs — 11-14% CAGR

Treasury Bills (short-term, 3-12 months) aur Pakistan Investment Bonds (long-term, 3-30 years) government debt instruments hain. Returns KIBOR-linked hain — currently 12-14% on T-bills, 11-13% on PIBs. Auction-based, minimum Rs 10,000 (retail through Sarmaya, Mahaana, etc.). Tax 15% withholding (filer). Yeh behtar alternative hain bank deposits ke — slightly higher return, similar safety.

8. USD (Dollar) — 6-8% CAGR in PKR terms

Dollar historically PKR mein 6-8% annualized depriciate ho raha hai (yaani PKR terms mein dollar 6-8% grow kar raha hai). 2010 mein Rs 85 tha, 2024 mein Rs 280+ — yaani ~8.6% CAGR. Lekin USD terms mein dollar inflation 2-3% hai, yaani real return negative. Currency hedging ke liye dollar acha hai, lekin long-term wealth creation ke liye gold ya equity behtar.

Inflation-Adjusted Return (Real ROI)

Pakistan mein historical average inflation 10-12% hai (CPI basis). Agar aap ki investment 12% nominal return de rahi hai aur inflation 10% hai, to real return sirf 2% hai! Real ROI ka formula:

Real ROI = [(1 + Nominal ROI) / (1 + Inflation)] - 1

Example: 15% nominal return, 10% inflation. Real ROI = (1.15 / 1.10) - 1 = 4.5%. Yeh actual wealth creation hai. Agar real ROI negative hai to aap ka paisa haath mein zyada lagta hai lekin purchasing power kam ho rahi hai.

Tax-Adjusted Return

Pakistan mein investment returns par withholding tax lagta hai — filer ke liye 10-15% (depending on instrument), non-filer ke liye 20-30%. Tax-adjusted return ka formula:

Tax-Adjusted ROI = Nominal ROI × (1 - Tax Rate)

Example: 15% nominal ROI, 15% tax. Tax-adjusted ROI = 15% × 0.85 = 12.75%. Yeh woh return hai jo aap ki pocket mein aati hai. Behbood aur zakat exemption wale instruments tax-free hote hain.

Worked Examples — 5 Scenarios

Example 1: PSX Investment Over 10 Years

Aap ne 2014 mein Rs 10 lakh KSE-100 index fund mein invest kiya. 2024 mein value = Rs 10 lakh × (1.15)^10 = Rs 40.5 lakh. Total profit = Rs 30.5 lakh. Total ROI = 305%. CAGR = 15%.

With dividends reinvested: total value ~Rs 50-55 lakh (assuming 4% dividend yield). Tax on withdrawal: 15% on capital gains = ~Rs 6 lakh. Net after tax = Rs 44-49 lakh.

Example 2: Gold Investment Over 10 Years

Aap ne 2014 mein Rs 10 lakh ka gold khareeda (gold rate Rs 4,800/g). 2024 mein gold rate Rs 22,000/g hai. Value = Rs 10 lakh × (22000/4800) = Rs 45.8 lakh. Total profit = Rs 35.8 lakh. Total ROI = 358%. CAGR = 15.6%.

Gold par koi tax nahi agar hold kiya gaya. Lekin sale par jeweller making charges (5-10%) kat lete hain. Net ~Rs 41-43 lakh.

Example 3: Property in DHA Lahore Over 10 Years

Aap ne 2014 mein DHA Phase 6 mein 1 kanal plot Rs 75 lakh mein khareeda. 2024 mein value = Rs 1.8 crore. Capital appreciation = 140%. Plus agar rent par diya hota to ~Rs 50k/month rent (assuming construction) = ~Rs 60 lakh total rental income (10 saal). Total return ~Rs 1.65 crore. CAGR (capital only) = 9.1%. CAGR (with rent) = 13.2%.

Sale par 4.5% withholding (filer) + 1% CVT + agent 2% + registry 1-2% = ~8% transaction costs. Net ~Rs 1.5 crore.

Example 4: National Savings (SSC) Over 10 Years

Aap ne 2014 mein Rs 10 lakh SSC mein invest kiya. Average profit rate 10% per year. 2024 mein total = Rs 10 lakh + Rs 10 lakh × 10% × 10 = Rs 20 lakh (simple profit). Total ROI = 100%. CAGR (with annual payout) = 7.2% (since profit not reinvested).

Agar profit reinvest hota to CAGR 10% hota. Tax 10% on profit = Rs 1 lakh. Net profit Rs 9 lakh. Real return (after 10% inflation) = 0% — yeh important baat hai!

Example 5: Bank Savings Account Over 10 Years

Aap ne 2014 mein Rs 10 lakh savings account mein rakha. Average profit rate 7%. 2024 mein total = Rs 10 lakh × (1.07)^10 = Rs 19.7 lakh. Total ROI = 97%. CAGR = 7%.

Tax 15% on profit = Rs 1.46 lakh. Net profit Rs 8.24 lakh. Real return (after 10% inflation) = -2.7% — yaani actual purchasing power kam ho rahi hai!

Comparison Table — Rs 5 Lakh Invested in 2015 (10-Year Horizon)

Investment	2025 Value	CAGR	Net After Tax	Real Value*
📈 PSX	Rs 20.2 lakh	15%	Rs 18.5 lakh	Rs 7.1 lakh
🥇 Gold	Rs 22.9 lakh	15.6%	Rs 21 lakh	Rs 8.1 lakh
🏠 Property DHA	Rs 13.5 lakh	10.5%	Rs 12.5 lakh	Rs 4.8 lakh
🏛️ National Savings	Rs 13 lakh	10%	Rs 11.7 lakh	Rs 4.5 lakh
🏦 Bank Deposit	Rs 9.8 lakh	7%	Rs 8.8 lakh	Rs 3.4 lakh

*Real value = net after-tax value deflated by 10% annual inflation (CPI). Yeh actual purchasing power dikhata hai 2025 mein.

Aam Ghaltiyan (Common Mistakes)

1. Inflation bhool jana: Bohat log 10% return dekh ke khush ho jate hain, lekin inflation 10% ho to real return 0% hai. Hamesha real return dekhein.
2. Tax ignore karna: 15% tax aap ke net return ko significantly kam karta hai. Filer banna zaroori hai — non-filer par double tax lagta hai.
3. Annualize na karna: 100% return 10 saal mein = 7.2% CAGR. 100% return 2 saal mein = 41.4% CAGR. Time period consider kiye bina comparison ghalat hai.
4. Different periods compare karna: PSX 2020-2024 ka 50% return vs Gold 2015-2024 ka 150% return — yeh fair comparison nahi. Same period use karein.
5. Cherry-picking dates: "Main ne 2020 mein PSX khareeda to 2023 mein 3x ho gaya" — yeh survivor bias hai. Long-term average dekhein.
6. Dividends/rent ignore karna: Total return = capital appreciation + income. PSX ka total return sirf price index se 4-5% zyada hota hai dividend yield ki wajah se.
7. Transaction costs ignore karna: Property mein 8% transaction costs, gold mein 5-10% making charges, mutual funds mein 1.5% entry load — yeh sab net return kam karte hain.
8. Safety ko ignore karna: Bank deposit 9% aur PSX 15% — agar aap retirement ka paisa hai to safety behtar hai. Risk-adjusted return (Sharpe ratio) dekhein.

Pro Tips — Smart Investing

• Long-term perspective rakhein: 7-10+ saal ka horizon PSX aur equity funds ke liye zaroori hai. Short-term volatility normal hai.
• Diversification karein: Sirf gold, sirf property, ya sirf stocks — koi ek nahi. Asset allocation: 40% equity (PSX/mutual funds), 25% property, 20% gold, 15% bonds/cash. Yeh balanced portfolio hai.
• SIP (Systematic Investment Plan) use karein: Mutual funds mein monthly Rs 10k-50k auto-invest karein. Market timing ki tension nahi, rupee-cost averaging hota hai.
• Rebalancing karein: Saal mein ek baar portfolio review karein. Agar gold 35% se zyada ho gaya to thora profit book kar ke equity mein shift karein.
• Filer banein: ATL mein hone se 5-15% tax saving hoti hai har saal. Annual return file karna mandatory hai agar income taxable hai.
• Emergency fund separate rakhein: 6 months ka expenses savings account mein rakhein, phir investment planning karein.
• Sector funds se bach jayein: PSX mein tech ya energy sector funds zyada volatile hote hain. Broad market index fund behtar choice hai.
• USD hedge rakhein: Agar future mein aap ko dollar expenses honge (children abroad education, Umrah/Hajj), to 10-15% portfolio USD assets mein rakhein.

Case Study — Rs 5 Lakh Investment 2015 vs 2025

Imran 2015 mein 30 saal ka tha, Rs 5 lakh bonus mila. Us ne 5 different ways mein invest karne ka socha. Behtar decision kya hota?

• 100% PSX: 2025 value = Rs 20.2 lakh (after tax). Risk: high volatility, 2018-19 mein temporarily Rs 8 lakh tak gir sakta tha.
• 100% Gold: 2025 value = Rs 22.9 lakh (no tax). Risk: making charges, storage.
• 100% Property: 2025 value = Rs 13.5 lakh (after costs). Risk: liquidity, tenant issues, plus Rs 5 lakh se property nahi milti (need more).
• 100% National Savings: 2025 value = Rs 13 lakh (after tax). Risk: opportunity cost — sab se kam return.
• 50% PSX + 30% Gold + 20% NSC: 2025 value = Rs 19.5 lakh (after tax). Risk: medium — best risk-adjusted.

Winner: Gold (highest absolute return) lekin diversified portfolio (option 5) behtar risk-adjusted return deta hai. Risk Kam, return similar.

Decision Tree — Investment Choose Karein

• Age 20-30, 30+ year horizon: 60-70% equity (PSX/mutual funds), 15-20% gold, 10-15% property/cash.
• Age 30-45, 20-25 year horizon: 50% equity, 25% property, 15% gold, 10% cash.
• Age 45-55, 10-15 year horizon: 35% equity, 30% property, 20% bonds, 15% cash.
• Age 55+, retirement: 20% equity, 25% bonds, 25% National Savings, 20% cash, 10% gold.
• Goal: 1-3 years (short-term): Bank deposits, T-bills, NSC only. Avoid equity.
• Goal: 3-7 years (medium): 50% bonds, 30% mutual funds, 20% gold.
• Goal: 7+ years (long-term): Equity-heavy portfolio, real estate, gold.

Historical Context — Pakistan Investment Returns

Pakistan mein past 25 saal (2000-2025) mein: PSX KSE-100 2000 mein 1,500 tha, 2025 mein 90,000+ — yaani ~17% CAGR (in PKR terms). Gold 2000 mein Rs 4,800/tola, 2025 mein Rs 280,000+ — yaani ~17.4% CAGR. Property DHA Lahore 2000 mein Rs 10 lakh, 2025 mein Rs 1.5 crore — yaani ~11.5% CAGR. Inflation 2000-2025 average ~8-10% — yaani sab assets ne real positive return diya. Yaani long-term mein Pakistan mein investing profitable raha hai.