Y-Nexus Projection

Simulate long-term wealth trajectories and Monte Carlo outcomes under dynamic quality bounds

Y-Nexus Projection Simulation

The Y-Nexus Projection tool models the future compounding value of your portfolio over time. Rather than relying on simple linear averages (which hide market cycles), it uses Monte Carlo simulations to generate 10,000 randomized asset price trajectories based on historical return distributions and covariance.

This allows you to test the feasibility of your long-term retirement, wealth, or savings goals against realistic volatility regimes.


Key Methodology

1. Probabilistic Growth Bands

Instead of a single growth curve, the simulator plots your future net worth within three statistical bands:

  • Optimistic (P90): The 90th percentile outcome (1 in 10 chance of doing better). Indicates a prolonged bull market scenario.
  • Median (P50): The 50th percentile outcome (the most likely baseline trajectory).
  • Pessimistic (P10): The 10th percentile outcome (1 in 10 chance of doing worse). Simulates severe sequence-of-returns risk or prolonged stagnation.

2. Sequence of Returns Risk & Variance Drag

Compounding is highly sensitive to the order in which returns occur. A major market decline early in your timeline significantly diminishes your terminal wealth even if high returns follow later. By modeling thousands of randomized sequences, Y-Nexus Projection highlights how volatility drags down geometric compounding (variance drag).

3. Real vs. Nominal Values

You can view simulations in both nominal (unadjusted) and real (inflation-adjusted) terms. Adjusting for inflation helps you understand the true purchasing power of your future capital.


Integration with Y-Nexus Bounds

When modeling simulated portfolio strategies rather than your active target allocation, you can choose from these optimized weight options:

  • Safest (Min Variance - Y-Nexus Bounds): Optimizes the allocation to minimize overall portfolio variance.
  • Efficient (Max Sharpe - Y-Nexus Bounds): Optimizes the allocation to maximize expected return per unit of risk.

[!IMPORTANT]
To protect you from unrealistic projections, the underlying optimizer always runs with Y-Nexus Bounds (Y-VQS limits) enabled. This prevents the simulator from allocating 100% of your capital to a single volatile asset simply because it had a historical run, keeping projections bound to fundamental quality constraints.


Projection Inputs

You can fine-tune the Monte Carlo simulation engine with the following parameters:

  • Portfolio Allocation: Choose between your Current holdings, Target weights, Safest, or Most Efficient models.
  • Horizon Period: Select a simulation timeframe of 3, 5, 10, 20, or 30 years.
  • Initial Investment: Set your starting principal (defaults to your portfolio’s current market value).
  • Monthly Contribution: Model recurring monthly savings.
  • Auto-set return & volatility: Toggle to automatically compute return and volatility from historical data, or uncheck to manually enter custom percentage expectations.
  • Historical Lookback: Select a 3Y, 5Y, or 10Y timeframe. When “Auto-set” is checked, this window determines the calculated expected returns and volatilities.

[!NOTE]
Inflation Discounting: The simulator dynamically fetches the live annual inflation rate from economic API feeds (falling back to 2.5% on failure) to compute your real purchasing power (Real Value) and cost base over time. There is no manual input for this.