Economic Impact of Capital Level in an Insurance Company

Abstract

This paper examines the impact of capital level on policy premium and shareholder return. If an insurance firm has a chance of default, it covers less liability than a default-free firm does, so it charges less premium. We explain why policyholders require greater premium credits than the uncovered liabilities. In a default-free firm, if frictional costs are ignored, we prove shareholders are indifferent to the capital level. This is a restatement of the Modigliani-Miller theorem in the insurance setting. An insurance firm incurs two classes of frictional costs: the frictional costs of capital and the costs of financial distress. Altering the capital level has an opposite effect on each class. The total frictional cost can be minimized at a proper capital level.

KEYWORDS:

Volume
2
Issue
1
Page
0039-0051
Year
2008
Keywords
Solvency guarantee, Modigliani-Miller irrelevance, frictional cost, optimal capital level
Categories
Financial and Statistical Methods
Risk Pricing and Risk Evaluation Models
Capital Theory
Actuarial Applications and Methodologies
Valuation
Fair Value
Financial and Statistical Methods
Risk Pricing and Risk Evaluation Models
ROE
Publications
Variance
Authors
Yingjie Zhang
Documents