Company A issues bonds with a face value of $100m, sold at $98. Bank B holds $10m in face of these bonds acquired at a price of $70. Company A then defaults, and the recovery rate is expected to be 30%. What is Bank B's loss?
The current Basel rules for the basic VaR based charge for market risk capital set market risk capital requirements as the maximum of the following two amounts:
1. 99%/10-day VaR,
2. Regulatory Multiplier x Average 99%/10-day VaR of the past 60 days
The 'regulatory multiplier' is a number between 3 and 4 (inclusive) calculated based on the number of 1% VaR exceedances in the previous 250 days, as determined by backtesting.
- If the number of exceedances is <= 4, then the regulatory multiplier is 3.
- If the number of exceedances is between 5 and 9, then the multiplier = 3 + 0.2*(N-4), where N is the number of exceedances.
- If the number of exceedances is >=10, then the multiplier is 4.
So you can see that in most normal situations the risk capital requirement will be dictated by the multiplier and the prior 60-day average VaR, because the product of these two will almost often be greater than the current 99% VaR.
The correct answer therefore is = max(200mm, 3*250mm) = $750mm.
Interestingly, also note that a 99% VaR should statistically be exceeded 1%*250 days = 2.5 times, which means if the bank's VaR model is performing as it should, it will still need to use a reg multiplier of 3.
Roslyn
3 months agoSunshine
3 months agoOzell
4 months agoLorrine
4 months agoShawnta
4 months agoGarry
4 months agoNenita
4 months agoPaul
4 months agoBen
5 months agoSheron
5 months agoPeggie
5 months agoAlida
5 months agoKate
5 months agoStefania
5 months agoCarlee
5 months agoJesus
5 months agoKristin
9 months agoDyan
8 months agoLeonida
8 months agoThurman
8 months agoAntione
8 months agoBlair
10 months agoNancey
9 months agoGeoffrey
9 months agoAretha
9 months agoPamela
10 months agoLeonardo
8 months agoKayleigh
8 months agoKasandra
9 months agoVonda
9 months agoRonna
9 months agoPhil
10 months agoTamra
10 months agoMi
10 months agoYolande
10 months agoLynsey
11 months agoDusti
11 months agoDenna
9 months agoNatalie
9 months agoPeggie
9 months agoShayne
10 months agoAntione
11 months agoLynsey
11 months ago