Confidence Sensitivity Analysis

30%

Confidence

AAPL 51.19%

MSFT 48.81%

Exp. Return

15.79%

Sharpe

0.66

View pulls AAPL weight up slightly

50%

Confidence

AAPL 49.57%

MSFT 50.43%

Exp. Return

15.13%

Sharpe

0.63

Near equal weights

70%

Confidence

AAPL 47.83%

MSFT 52.17%

Exp. Return

14.49%

Sharpe

0.61

MSFT starts to dominate

90%

Confidence

AAPL 45.97%

MSFT 54.03%

Exp. Return

13.87%

Sharpe

0.59

Strong tilt toward view

Complete Sensitivity Data

Confidence	AAPL Weight	MSFT Weight	AAPL Posterior	MSFT Posterior	Portfolio Return	Volatility	Sharpe
30%	51.19%	48.81%	18.18%	13.28%	15.79%	24.06%	0.66
50%	49.57%	50.43%	17.27%	13.03%	15.13%	23.86%	0.63
70%	47.83%	52.17%	16.36%	12.78%	14.49%	23.68%	0.61
90%	45.97%	54.03%	15.45%	12.53%	13.87%	23.51%	0.59

Why Does Higher Confidence Reduce AAPL Weight?

Your view (15%) is LOWER than AAPL's market-implied prior (19.54%).

In the Black-Litterman model, higher confidence means the model trusts your view more strongly. Since you're predicting a lower return than the market equilibrium, increasing confidence actually reduces AAPL's expected return and weight.

At 30% confidence: The model mostly trusts the market prior (19.54%), so AAPL gets a slight overweight at 51.19%.

At 90% confidence: The model strongly incorporates your 15% view, pulling AAPL's posterior return down to 15.45% and reducing its weight to 45.97%.

Key insight: If you wanted higher AAPL allocation, you'd need to set your expected return above the 19.54% prior—say 25% or 30%.

⚠️ Disclaimer: This visualization is for reference only. Please verify raw data before making investment decisions.
Black-Litterman optimization is based on historical data and investor views. Past performance does not guarantee future results.