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Panning
Panning
13
Finance
Professional
01/16/2012

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Cards

Term
3 Franchise Value
Definition

economic value of future profits - renewals of current policies

1) Significant for P&C insurers 2) Franchise Value is exposed to interest rate risk 3) Franchise value is often unmeasured, unreported and consequently unmanaged

Term
Panning Simple Model 1
Definition
All business written on 1/1, all expenses paid immediately, all claims paid on 12/31, expect the same loss&expense each year
Term
Panning Simple Model 2
Definition
Maintains same surplus each year, no risk of bankruptcy, no taxes, term structure is flat and calculations done on 1/1
Term
Panning Notation 1: P, E, L, y, S
Definition
P= Premium, E=Expenses in dollars same each year, L= Expect Loss and LAE same each year, y = rf, S= Surplus (constant)
Term
Panning Notation 2: k, cr, F, C
Definition
k= Target Return on Surplus, cr= Client retention, F= Franchise Value, C= Current Economic value of Assets on Balance Sheet
Term
Premium equation
Definition
P= [S(k-y) +L]/(1+y) +E
Term
Current Economic Value
Definition
C= S + P - E - L/(1+y)
Term
Franchise value
Definition
Infinite series [ P - E - L/(1+y)] * d/(1-d) where d = cr/(1+y)
Term
Pricing Strategy for k
Definition
k=a+by so k is a linear function of the risk free rate
Term
Franchise value with Pricing Strategy
Definition
crS*(a+(b-1)y)/[(1+y)*(1+y-cr)]
Term
Effective Duration of Franchise Value
Definition

D= (a-b+1)/[(1+y)*(a+by-y)] +

1/(1+y-cr)

Term
2 Managing Interest Sensitivity of Franchise Value
Definition
1) Limits of Using Investment strategies to Manage Interest Rate Risk - Investment is too small portion of duration 2) Invisibility of Franchise Value
Term
Panning Solution to Management of Franchise Value
Definition
Pricing Strategy using k= a +by: Key virtue - Avoids the potential Rating agency and Regulatory risk associated with strategies using invested assets. Implementation is nearly as invisible as the franchise value it protects.
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