University of Minnesota
School of Mathematics
School of Mathematics         The diagram illustrates the local accuracy of the tangent line approximation to a smooth curve, or--otherwise stated--the closeness of the differential of a function to the difference of function values due to a small increment of the independent variable.  
    math.umn.edu / finmath / seminar / MaterialsY11 / abstrY11M10D21nantie
 

Insurance Economics

Dr. Gary Nan Tie
Senior Vice President, Investments and Managing Director,
Financial Risk & Asset-Liability Management, The Travelers Companies, Inc.

Abstract:

Throughout the business cycle, as circumstances change and opportunities arise, insurers need to reassess in the interest of shareholders, what fraction of equity and premium payments to invest in risky assets, that at the same time retains policyholders. We connect a model for this risk shifting, to one for premium pricing, creating a holistic economic model of the insurance business.

We give an algorithm implementing this 'weather vane' model, based on an insurer's outlook for investing, premium pricing and underwriting, to directionally indicate prospective ways to profitably balance shareholder and policyholder interests.

 

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