Bitcoin SIP Calculator

Compounding in the Digital Gold Era

Bitcoin (BTC) has emerged as one of the most high-performing, yet highly volatile, asset classes in modern financial history. Unlike traditional equities or gold, Bitcoin exhibits explosive growth cycles coupled with severe drawdowns.

For highly volatile assets, a Systematic Investment Plan (SIP)—also known as dollar-cost averaging (DCA)—is an exceptionally strong strategy. It helps you accumulate more units when prices crash, and fewer units when prices surge, smoothing out your average acquisition cost.

This calculator offers two powerful simulation options:

1. Projected CAGR Mode: Standard compound interest modeling at customizable expected rates.
2. Historical Backtest Mode: Real simulations starting in any year from 2013 through 2026, using true historical average annual prices.

The Mathematics of the Simulation

To prevent compilation errors, we outline our mathematical models cleanly without using curly braces:

1. Projected CAGR Mode

Standard future value calculations compound monthly:

Monthly Interest Rate (r) = Annual Expected Return Rate / 1200

Total Months (N) = SIP Tenure Years * 12

Portfolio Future Value = Monthly SIP * [ ( (1 + r)^N - 1 ) / r ] * (1 + r)

2. Historical Backtest Mode

In this mode, we track real purchases based on historical USD prices, converted to Indian Rupees (INR) at a constant exchange rate of Rupees 83 per USD.

Let:

• Yearly average price in USD for Year Y = Price(Y)
• Price in INR = Price(Y) * 83
• Cumulative Bitcoins accumulated = BTC_Total
• Yearly Investment = Monthly SIP * 12

For each year Y from the selected Start Year to 2026:

BTC purchased in Year Y = Yearly Investment / [ Price(Y) * 83 ]

BTC_Total = BTC_Total + BTC_purchased

At maturity in 2026, the final portfolio value is computed using the average price of 2026 (estimated at $112,000 USD):

Final Portfolio Value in 2026 = BTC_Total * [ 112,000 * 83 ]

Why Historical Backtesting is Eye-Opening

Because Bitcoin has experienced multiple bull and bear cycles, looking back shows the incredible power of long-term dollar-cost averaging:

• Starting in 2015: Buying at a historical average price of $272 USD per BTC allowed investors to hoard vast amounts of coins.
• Starting in 2021: Buying near market highs at an average of $47,400 USD was painful in the short term, but continued systematic purchases through the 2022 bear market lowered the average purchase cost, yielding massive profits by 2025/2026.

Using a disciplined, consistent approach instead of attempting to time market tops and bottoms is statistically the most robust way to build a digital asset allocation.