RBC2 Flashcards
R4 risk and generated from
risk that reserves will develop adversely assuming current values are adequate
- reserve risk charge is calc separately by line using Sched P data for last 10 yrs
- generated from risk associated with reins recoverable, unpaid loss&LAE, excessive prem growth, accident & health claim reserves
Reinsurance RBC for R4
other half of RBC generated in R3 that may need to be allocated to R4
Reserve RBC designed to measure and general calc
designed to measure susceptibility to adverse development
- applying factor (company RBC %) to net loss & LAE reserves gross of non-tabular discount and generated separately for each line from Sched P
- gross of non-tabular discount bc different companies have different methods to determine discount so to ensure consistent treatment
- base RBC is first calc then 2 adjustments made to reflect loss sensitive contracts and loss concentration
Base loss&LAE reserve RBC by line
RBC=[(company RBC%+1)*adj for investment income -1]*(net reserves+other discounts not in reserves)
Company RBC %
provide surplus cushion against adverse development
Comp RBC % = average(industry reserve RBC % and industry adj for company experience)
Industry adj = company avg devel:industry avg devel * industry loss RBC
-adj for company experience is based on company development factor by line = sum of incd from 9 prior AYs eval as of curr yr / sum of initial valuations of same AYs (diagonal values)
*so excludes prior row and newest AY
industry reserve RBC %
based on historical reserve development patterns and is provided by NAIC = net incd loss&DCC development during year/net loss&DCC reserves from prior yr
-been based on worst case approach but revised since often was quite different to expectations; 87.5 percentile was used instead with floor set to produce min charge of 5% and factors capped to 15%
Adj for investment income for R4
provided by NAIC and is based on 5% interest rate and payment patterns using IRS discount method
-discount factor for WC is adj to reflect portion of reserves that already received tabular discount
Adj for loss-sensitive business for R4
business exposes the insurer to less risk than traditional policies so less surplus protection required
RBC = base reserve RBC – loss sensitive discount
Loss sensitive discount = loss sensitive discount factor*% loss sensitive direct loss and expense reserves*base reserve RBC
-factor is 30% for direct and 15% assumed
*retro rated policies are loss sensitive
Adj for loss concentration for R4
reflects level of diversification across lines and is applied to aggregate RBC reserve charge
LCF = 0.3*net reserves in line with highest reserves/total net reserves + 0.7
-LCF reflects adverse devel is not only caused by random fluctuations so devel across lines may not be totally independent
Final net reserve RBC
Final net reserve RBC = total reserve RBC after discount for all lines * 1000 * LCF
Excessive Prem Growth for R4
reserves are subject to lot more uncertainty if insurer is growing rapidly – won’t have as much insight into NB relative to current book, estimate of unpaid claims is more difficult for growing co relative to one in SS bc avg writings are going to be skewed towards end of policy yr
-insurer with excessive growth = 3yr avg growth rate in GWP exceeding 10%
Excessive prem growth charge
Avg growth rate factor = min (max[avg growth, 0.1],0.4)-0.1
Excessive prem growth charge = avg growth rate factor * 0.45 * net reserves
Health RBC for R4
applies to firms that > 5% of total prem in any of last 3yrs
R5 covers
-covers charge for risk associated with net WP, excessive prem growth, health prem, health stabilization
WP RBC
risk that future business may be unprofitable and will require resources from surplus to cover these future losses, based on current year prem with 2 adj to reflect loss sensitive contracts and prem concentration
RBC = curr yr NWP*(comp RBC LR*adj for investment income + comp UW expense ratio-1)
Comp RBC LR = average(industry LR ratio provided by NAIC, industry RBC LC adj for company experience)
Adj for company experience = company avg LR/industry avg LR
-avg is based on 10 AYs and ratios are capped at 300% for each yr