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Financial Risk Manager (GARP) · FRM exam

FRM P2 Part II: mock exams and practice questions

312 original exam-style questions for FRM P2 Part II, with full timed mock exams in the real format and an explanation for every answer. Free for everyone until 31 January 2027.

FRM P2 exam format

4 hours, 80 four-option multiple-choice questions (computer-based). The pass mark is 70%.

SectionFormatMarks
FRM Part II80 four-option multiple-choice questions80
Total80

Syllabus areas covered

Try 3 free FRM P2 questions

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Sample question 1 · Market Risk

Halvorsen Bank backtests its 99% one-day VaR model over the last 250 trading days and records 7 exceptions. Using Kupiec's proportion-of-failures (POF) likelihood ratio test at the 95% confidence level (chi-square critical value with one degree of freedom = 3.84), which statement is correct?

  1. A LR is approximately 5.50, but the model is not rejected because 5.50 is below 6.63
  2. B LR is approximately 3.01, so the model is not rejected
  3. C LR is approximately 2.86, so the model is not rejected
  4. D LR is approximately 5.50, so the model is rejected
Show the answer

Answer: D. Under H0 the exception probability is p = 0.01; observed rate = 7/250 = 0.028.

LR = -2 ln[(1 - p)^(T-N) p^N] + 2 ln[(1 - N/T)^(T-N) (N/T)^N]
= -2 ln[0.99^243 x 0.01^7] + 2 ln[0.972^243 x 0.028^7] = 5.50.

LR is chi-square with 1 degree of freedom under H0. Since 5.50 > 3.84, the hypothesis that the model has correct (1%) coverage is rejected at the 95% confidence level. (Expected exceptions were only 2.5.)

Sample question 2 · Credit Risk

A company's 3-year bonds trade at a credit spread of 180 basis points over the risk-free rate. The expected recovery rate is 40%. Assuming a constant hazard rate, what is the risk-neutral probability that the company defaults within 3 years?

  1. A 5.26%
  2. B 8.61%
  3. C 9.00%
  4. D 12.63%
Show the answer

Answer: B. Hazard rate lambda = spread / (1 - R) = 0.018 / 0.60 = 3.0% per year.
Survival to year 3 = e^(-0.03 x 3) = e^(-0.09) = 0.9139.
Cumulative default probability = 1 - 0.9139 = 8.61%.

Sample question 3 · Operational Risk and Resilience

Halvorsen Bank's business indicator (BI), calculated under the Basel III standardised approach for operational risk, is €42 billion. What is the bank's business indicator component (BIC)?

  1. A €6.66 billion
  2. B €7.56 billion
  3. C €6.63 billion
  4. D €6.30 billion
Show the answer

Answer: C. The BIC uses marginal coefficients, like income tax bands: 12% on BI up to €1bn, 15% on BI from €1bn to €30bn, and 18% on BI above €30bn.

BIC = 1 × 12% + (30 − 1) × 15% + (42 − 30) × 18% = 0.12 + 4.35 + 2.16 = €6.63 billion.

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