1. Modelagem Matemática de Lucro e Retorno (ROI)
Calcula o lucro real descontando taxas de corretagem Maker e Taker em operações à vista e futuros.
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Position Size & Futures PnL Engine
Institutional position sizing, prop firm 1% risk rules, futures liquidation modeling, and spot PnL projection.
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Account Risk Parameters
Position Output
1% STRICT RISK
Maximum Cash Loss ($)
$500.00
Exactly 1.0% of your account
Position Size (USD)
$38,214.29
Position Units
0.4762 Units
Recommended Safe Leverage
1x Spot (Zero Liquidation Risk)
R-Multiple Profit Targets
1R (Break-Even):
$81,300.00
+$500.00
2R (Core Target):
$82,350.00
+$1,000.00
3R (Runner):
$83,400.00
+$1,500.00
5R (Home Run):
$85,500.00
+$2,500.00
Futures Margin & Leverage Setup
10x
Futures Outcome
10x LONG
Net Realized PnL
+$280.37
+28.04% ROE
Estimated Liquidation Price
$72,626.25
Total Position Value
$10,000.00
Est. Taker Fees (0.05%)
$10.00
Spot Trade Parameters
Spot PnL Projection
Total Investment
$1,000.00
Total Fees Paid
$2.06
Estimated Net Profit
+$57.12
+5.71%
The Mathematical Foundations of Position Sizing
1. Position Sizing Formula
To calculate the exact number of contracts or coins to purchase without violating your risk budget:
Units = (Account Capital × Risk %) ÷ |Entry Price - Stop Loss Price|
Never size your position by "gut feeling" or arbitrary leverage multipliers. Fix your dollar risk first, then let the formula determine the position size.
2. Futures Liquidation Math
Isolated leverage liquidation price is determined by the maintenance margin requirement (MMR):
Long Liq Price = Entry × (1 - (1 / Leverage) + MMR)
At 10x leverage, your position will be liquidated if price drops ~9.5%. At 50x, a mere 1.8% drop triggers total loss of initial margin.
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Gestão de Risco Quantitativo e Calculadoras
4.9 / 5.0 Rating (1,480+ Institutional Quants)
Calculadora de Lucro e Prejuízo Cripto, Simulador DCA e Preço de Liquidação
Modelagem matemática de risco para traders institucionais e participantes de mesas proprietárias com cálculo de drawdown.
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A suite matemática da Zynto Markets calcula com precisão milimétrica o lucro líquido, ROI alavancado, preço de liquidação exato e projeção composta de DCA.
Quantitative Risk & PnL Formula Matrix (Prop Firm Standards)
| Calculation Metric | Mathematical Formula | Application | Institutional Benchmark |
|---|---|---|---|
| Net Profit (PnL) | Size × (Exit - Entry) - Total Fees | Spot & Futures Accounting | Maker (0.02%) / Taker (0.05%) |
| DCA Weighted Avg | Sum(Investments) / Sum(Coins) | Volatility Smoothing | Weekly / Monthly Periodic Schedule |
| Isolated Liq Price | Entry ± (Margin / Size) + MMR | Capital Preservation | Exchange Tier MMR Scale |
| Prop Max Drawdown | (Peak - Current) / Peak ≤ 5% - 10% | Evaluation Account Sizing | Strict Trailing / EOD Drawdown |
2. Simulação de Compras Periódicas (DCA)
Projeta a redução de preço médio e acúmulo sustentável de Bitcoin em fases de mercado corretivas.
3. Cálculo Algorítmico de Preço de Liquidação
Determina com exatidão o gatilho de liquidação para alavancagens de 1x a 125x em margem isolada e cruzada.
4. Dimensionamento de Lote para Prop Firms
Calcula o tamanho ótimo da ordem para nunca violar limites de perda diária ou drawdown máximo permitido.
Frequently Asked Questions & Microstructure Insights
Como calcular o preço de liquidação em margem isolada?
O cálculo subtrai ou adiciona ao preço de entrada a margem disponível dividida pelo volume nominal da posição.
Por que usar o simulador DCA da Zynto?
Porque ele incorpora taxas reais de rede e volatilidade histórica do mercado.
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