Explore correlations, the efficient frontier, capital allocation, optimization, and risk parity.
02
Look beyond returns
Examine performance evaluation, value at risk, stress testing, Monte Carlo simulation, and factor analysis.
03
Make learning visible
Support coursework with guided labs, assessments, cohorts, learner reports, and gradebook exports.
An example learning activity
Which portfolio would you defend?
Compare allocations using the platform’s fictional sample funds. Examine diversification, historical behavior, and a stress scenario before explaining your choice.
1
Define the allocation and objectives.
2
Compare return, risk, and concentration.
3
Explain the tradeoffs and model limitations.
Try a two-minute example
Explore a decision with CapitalPAS.
Use fictional inputs to explore one concept. This short illustration is separate from the full product; access and demonstration availability are confirmed with CapitalWave.
Fictional annual inputs: asset A expected return 8%, volatility 15%; asset B expected return 4%, volatility 5%; correlation 0.20. Weights: 60% A, 40% B. No leverage, costs or rebalancing effects.
Calculate expected portfolio return and volatility. Repeat with correlation 1.00 while holding all other inputs fixed. Explain why weighted-average volatility is not the usual portfolio result.
Evidence to collect: Submit both risk estimates and identify the input that changes the diversification benefit.
Illustrative expected output
Expected return
6.40% annually
Volatility at correlation 0.20
9.60% annually
Volatility at correlation 1.00
11.00% annually
Imperfect correlation lowers volatility in this example. Expected returns, volatilities and correlations are assumptions, not promised outcomes.
Calculation or decision method
Return = wA rA + wB rB. Variance = wA^2 σA^2 + wB^2 σB^2 + 2 wA wB σA σB ρ; volatility is its square root.
Fictional teaching illustration, prepared for evaluation. This is not an exported learner record or a claim that the exact activity is preloaded in the platform.
CapitalPAS is the Portfolio Analyzer. It supports exploration of allocation, diversification, return, risk, optimization, performance and stress analysis. Learning activities use fictional sample funds so learners can defend assumptions and compare portfolio choices.
Why is portfolio volatility different from weighted-average volatility?
Portfolio volatility depends on asset weights, individual volatilities and correlations between returns. With imperfect positive correlation, combining assets can reduce risk relative to a simple weighted average of their volatilities. The worked two-asset example isolates correlation to make that relationship visible.
No. A backtest describes a model or strategy under historical data and stated assumptions. Costs, selection choices, rebalancing rules, data quality and market conditions affect its interpretation. Historical and simulated results do not guarantee future performance.
CapitalPAS is an analyzer focused on portfolio concepts, calculations and learning activities. PMS belongs to the trading and market simulation family and supports a facilitated portfolio-management experience. Confirm the task, current release and delivery requirements before choosing between them.
For education and training. The platforms do not execute real trades or provide investment advice. Exercises and automated feedback support learning and do not by themselves establish professional competence or confer certification.