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3 reasons to allocate capital
- Pricing, UW & other decision making could be enhanced by thinking of capital as being allocated
- Allocation could help tie together certain financial decisions and regulatory risk-based capital rules
- Concepts like RAROC and EVA make use of capital allocation for performance measurement
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2 approaches to maximize value of firm
- RAROC: risk-adjusted return on capital. (1) allocate total capital of firm, (2) compare alllocated capital to after tax PV, and (3) compute RAROC
- EVA: economic value added: income is reduced by the product of the allocated capital and the target rate. If EVA > 0 value is increased
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Capital Allocation Techniques
- Regulatory (NAIC) risk-based capital
- CAPM
- VaR
- Insolvency Put Options (EPD)
- Marginal Capital Alllocation (Merton & Perold)
- Marginal Capital Allocation (Myers Read)
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Capital Allocation Techniques
Regulatory (NAIC) risk-based capital
- Charges are applied to various balance sheet and income statement items to measure the risk in 6 categories; (1) equity holding of subsidiaries, (2) credit-related losses, (3) loss reserves, (4) loss on NB, (5) credit risk on agent's balance, and (6) off-balance sheet risks.
- Critics: charges are inaccurate, based on book value, ignore some risk sources, based on industry data, but serves as legitimate constraints regardless of approach
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Capital Allocation Techniques
CAPM
- Determine each line's contribution to firmwide required profits.
- Critics: CAPM is modeled on systematic risk from perspective of diversified investor, (2) data limitations make it difficult to estimate β by LOB, and (3) CAPM may not even be a good model for equity prices
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Capital Allocation Techniques
VaR
- Capital is allocated by determining the stand-alone VaR for each business
- Critics: (1) firms may not have enough capital in total, (2) difficult to reflect diversification, and (3) ignores amt by which losses exceed available capital
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Capital Allocation Techniques
Insolvency Put Option (EPD)
- Equate EPD ratios, choosing an arbitrary target
- Critics: improvement over VaR, but still fails to take diversification into account
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Capital Allocation Techniques
Marginal Capital Allocation (Merton & Perold)
- Calculate total required capital, incl diversification effect, and then compute firmwide capital w/o one LOB. The difference is the amt of marginal capital for this LOB
- Critics: there will always be some unallocated capital
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Capital Allocation Techniques
Marginal Capital Allocation (Myers Read)
- Examine capital for a particular LOB by determining the effect of a small increase in the size of line
- Critics: better than M-P method because there will be no unallocated capital
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Economic Cost of Capital
Reflects the actual cost associated w/ and ins company holding capital: (1) agency cost (incurred when xtra cash is used for superficial things that don't add value for SH), (2) double taxation (when earned & when paid as div), and (3) regulatory costs (restrictions may result in inefficient and sub-optimal investment of the capital)
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