Economics - Theses
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ItemFair valuation of insurance liabilities - a case study( 2007-12)Insurance contracts will be reported at fair values on insurers’ balance sheets from 2010. In this thesis, we will review the conceptual and theoretical backbone of the insurance fair valuation project while providing a summary of the key features of the fair valuation project. Then, we will conduct a case study aimed at finding, under the fair valuation regime, the best asset allocation strategy for a particular business unit that carries a hypothetical annuity portfolio using a single modelling framework for valuation, risk calculation and business appraisal.
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ItemInitial capital and margins required to secure a Japanese life insurance policy portfolio under stochastic interest rates( 2002-09)During the last decade several Japanese life insurance companies failed mainly due to interest losses. In fact, interest rate risk dominates mortality risk for a portfolio of business in force. When the interest rates are modelled as random variables, the yields on bonds are the sum of expected short spot rates and a risk premium for random bond prices. However, in our study, we assume a risk-neutral environment, i.e. zero risk premiums. As tools to deal with stochastic interest rates, various interest rate term structure models are considered. The Vasicek model, the Heath-Jarrow-Morton (hereafter “HJM”) approach and Cairns’ model are explained in detail. The history and nature of the very low interest rate environment in Japan is described in line with the monetary policy framework of the central bank. An unusual interest rate movement in the very low interest rate environment is identified. A modified HJM approach and Cairns’ model are chosen in our study. Cairns’ model is used to graduate the initial yield curve. The HJM approach with a specific volatility function and modified to deal with very low interest rates is used for simulating subsequent developments of the initial yield curve. After the introduction of various concepts needed to investigate a life insurance policy portfolio, we prepare for simulation by collecting information and by fitting parameters to market observations. The Yen swap curve is chosen as a base yield curve. The simulation results show how much initial capital and/or margins are needed in order to avoid the ruin of a portfolio.