Volatility is latent, so every estimate embeds a window, grid, annualization factor, or model.

Base R; zoo, xts, highfrequency, and TTR are optional.

annualized volatility = sqrt(k) × sd(returns); realized variance = sum(r_j^2)

1. گام 1Define every variable and unit.
2. گام 2Check assumptions and information timing.
3. گام 3Calculate, verify, and interpret in context.

متغیر

390 seeded minute returns with a 1.2% daily target.

انتخاب مدل

Variance scales by k under the conventional independent-increment approximation, so standard deviation scales by sqrt(k).

محاسبه

The book run's one-minute estimate was 1.129% against a 1.2% simulation target; coarser grids differ through finite-sample cross-products.

تفسیر

Without microstructure noise, the exercise isolates sampling variation rather than real tick-data bias.

بررسی معقول‌بودن

Real high-frequency data add market microstructure, gaps, and timestamp issues; this simulation does not.

Without microstructure noise, the exercise isolates sampling variation rather than real tick-data bias. Limitation: Real high-frequency data add market microstructure, gaps, and timestamp issues; this simulation does not.

Realized-volatility estimates vary across aggregation intervals.

Run the self-contained starter code in the protected STATLAB R runner. The code prints an auditable result and avoids network or unrestricted file access.

Compare your result with the definition, units, and model assumptions—not only with a target number.

Complete these without looking at the selected solutions. More than one defensible program may exist.

These are compact solution routes. Confirm dimensions, units, and any changed modelling choices.

Compare rolling, annualized, realized, and range-based measures with explicit units and sampling choices.

Name the assumption, evidence you would seek, and how the recommendation might change.

Reach 70% to complete the chapter. Explanations appear after submission.