Investment & Growth Calculator (Wealth & Portfolio Suite)

Comprehensive Guide to Investment & Wealth Growth

Building wealth and planning long-term financial freedom requires understanding the mathematical principles of compound interest, regular investment accumulation, future value discounting, and purchasing power preservation. The Investment & Growth Calculator evaluates 9 essential wealth growth metrics in one unified financial suite.

1. Compound Interest vs Simple Interest

Simple interest earns returns strictly on the initial principal: I = P × r × t. Compound interest, however, generates "interest on interest" as returns are continuously added back into the principal pool: A = P × (1 + r/n)^(nt).

The frequency of compounding (annual, semi-annual, quarterly, monthly) accelerates growth because interest starts earning additional yield sooner.

2. Future Value (FV) & Present Value (PV)

Evaluating long-term financial goals requires moving cash flows through time:

• Future Value (FV): Calculates what a current lump sum or recurring series of deposits will grow into at a given interest rate: FV = PV × (1 + r)^t + PMT × [((1 + r)^t - 1) / r].
• Present Value (PV): Calculates how much money you must invest today to achieve a specific target sum in the future: PV = FV / (1 + r)^t.

3. Compound Annual Growth Rate (CAGR) vs Portfolio ROI

Comparing asset class performances requires standardized metrics:

• CAGR: The geometric progression rate that provides a constant annual rate of return over a multi-year investment period: CAGR = (Ending Value / Beginning Value)^(1 / t) - 1.
• General Asset ROI: Measures total net percentage gain on a financial investment (stocks, mutual funds, gold, bonds) incorporating price appreciation and dividend income: ROI % = [(Final Value + Dividends - Cost) / Cost] × 100. Note: This tool measures financial asset returns and is distinct from business marketing campaign metrics.

4. SIP Accumulation & Purchasing Power Inflation

Systematic Investment Plans (SIP) harness dollar-cost averaging by investing fixed monthly sums into equity or mutual funds. Meanwhile, inflation erodes purchasing power: Future Real Value = Amount / (1 + Inflation Rate)^t.

Worked Examples Across All Modes

• Compound Interest: $10,000 principal + $200/month @ 8% annual return over 10 years grows to $57,002 (Total Interest: $23,002).
• Simple Interest: $10,000 principal @ 8% over 10 years earns $8,000 total interest ($18,000 final amount).
• Future Value: $10,000 present lump sum + $300/month @ 7% over 15 years yields $111,768 (Growth: $57,768).
• Present Value: To reach $100,000 in 10 years at a 6% discount rate, you must invest $55,839 today.
• CAGR: An investment growing from $5,000 to $15,000 over 5 years yields a 24.57% CAGR (200% absolute return).
• General ROI: $20,000 initial stock purchase sold for $32,000 plus $1,000 dividends over 3 years yields 65.0% Total ROI (18.17% Annualized Return).
• Savings Growth: $5,000 initial deposit + $500/month @ 5% interest for 10 years yields $86,238 total savings ($21,238 interest).
• SIP Plan: ₹5,000/month @ 12% return for 10 years grows to ₹11,61,695 (Wealth Gain: ₹5,61,695).
• Inflation Impact: $50,000 today @ 4% annual inflation over 15 years requires $90,047 in the future to maintain equivalent purchasing power.