Markets: A Rigorous Course

M14 · Problem 16 ★★ Check

An LTCM-style stress

A book has 8 positions, each with daily P&L standard deviation 0.5% of equity at unit scale. In normal times pairwise correlation is 0.05. The desk scales the book so that its 99% one-day normal VaR (2.326σ2.326\sigma) is 2% of equity. (a) Find the scale factor. (b) If correlation rises to 0.7, what is the VaR at the same positions? (c) What scale would keep VaR at 2% under the stressed correlation, and what does that imply for expected return in normal times?

Answers

Commas, ₹, % and 1e-3 notation are accepted.

Working

Keep your working next to each problem, in markdown with maths: create a free account or sign in.

Solution

Try the problem first. Write down where you got stuck before opening it.

Create a free account

Reading is open to everyone. An account keeps your progress, answers, notes and code drafts, and gives you the study plan, the journals and the simulator. Running code needs an account approved for it.