FRM Part II · FRM Exam Part II · Risk Capital Attribution and Risk-Adjusted Performance Measurement
A bank has total diversified economic capital of 500. Unit A has stand-alone capital of 300 and unit B has 400. Using stand-alone capital pro rata to scale to total capital, how much capital is allocated to unit A?
Unit A receives about 214.3. Stand-alone capitals total 700, so A's share is 300/700, or 42.86 percent, and applying that to the bank's diversified capital of 500 gives 214.3. This pro rata scaling makes allocations sum to total capital.
- A300.0
- B214.3Correct
- C250.0
- D285.7
Explanation
Sum of stand-alone = 700. Unit A share = 300/700 = 0.4286. Times 500 = 214.3. Option 300 is unscaled stand-alone; 285.7 wrongly uses 400/700 times 500 (that is B's share, B = 285.7).
Did you get it right without looking?
One question tells you little. A timed set on Risk Capital Attribution and Risk-Adjusted Performance Measurement shows your real accuracy, how long you take and where you lose marks.
More Risk Capital Attribution and Risk-Adjusted Performance Measurement questions
- A bank pays business-line bonuses on RAROC calculated with capital allocated at the start of the year. Managers can influence the capital fi…
- A bank's standalone economic capital figures for its three business units are: Retail USD 200 million, Corporate USD 300 million, Trading US…
- A risk manager notes that incremental capital allocation, measured as total firm capital minus firm capital without a unit, is used for a ba…
- A bank's risk management team is explaining the concept of economic capital to the board. Which statement best describes economic capital?
- A bank uses a single bank-wide hurdle rate of 12% to judge RAROC for all units. The trading unit has a RAROC of 14% and the retail mortgage …
- A risk manager compares stand-alone, incremental and marginal (Euler) capital allocation for a trading desk. Which statement is correct?