CPCU540 Flashcards
expense ratio
earned premium under GAAP
/ written premium under SAP
combined ratio
[profitability]
loss ratio + expense ratio
loss ratio = (losses & LAE) / earned premium
expense ratio = earned premium under GAAP / written premium under SAP
bond price
C(1+r) + C(1+r)^2 + … + C(1+r)^n + P(1+r)^n,
C = interest or coupon payment P = principal repayment (face) n = number of periods r = discount rate or yield
variance
sum of squared differences
/ (n-1)
coefficient of variation (CV)
standard deviation
/ mean
working capital
current assets - current liabilities
acquisition economic gain
G = VAB - (VA + VB)
= VAB - (VA + purchase price of B),
VAB = value of combined companies A and B
weighted average cost of capital
WACC
= cost of equity * %e
+ cost of debt * %d
accounting equation
assets = liabilities + shareholder equity
shareholder equity aka
net worth
book value
surplus
gross profit
sales - COGS
markup = gross profit / COGs
comprehensive income
= net income
+ other income not included on income statement (e.g, unrealized gains/losses or foreign translation gains)
paid-in capital
= par value of stock issued
+ additional capital over par value
SAP Accounting equation (insurers)
total assets - nonadmitted assets
= liabilities + policyholder surplus
future value
FVn = PV * (1 + r/m)^(n*m),
n = years m = # times per year interest is paid
present value
PV = FVn / (1+r)^n,
n = number of periods r = rate of return
investment rate of return
solve for r
ordinary annuity: future value
FVA = A * FVAF,
FVAC = FV factor from table A = fixed periodic payment
ordinary annuity: present value
PVA = A * PVAF,
PVAF = (1 - 1/(1+r)) * (1/r) A = fixed periodic payment
annuity relationships: ordinary vs due
FV(annuity due) = (1+r) * FV(ordinary annuity)
PV(annuity due) = (1+r) * PV(ordinary annuity)
perpetuity present value
PVP = A / r,
A = periodic payment r = discount rate
eg dividends on preferred stock
net present value
NPV
= PV(inflows) - PV(outflows)
= -Co + Ct(1+r)^(-t) + … + Cn(1+r)^(-n),
Co = beginning cash flow Ct = cash flow at time t r = discount rate n = number of periods
payment for acquisition
goodwill
= book value + goodwill
cost of goods sold (COGS)
= beginning inventory
+ inventory additions
- ending inventory
gross margin
= gross profit / gross sales
operating income
= gross profit - general operating expenses
net income
= revenue - expenses (including depreciation) \+ gains - losses - taxes
change in retained earnings
= net income - dividends
net profit margin
= net income / sales
equity multiplier
= total assets / shareholder equity
premium-to-surplus ratio
[capacity]
= written premiums net of reinsurance
/ policyholder surplus