Thesis (M. Econ..)--University of Hong Kong, 2001. / Includes bibliographical references.

Thesis (M.Sc.)(Mathematics and Applied Mathematics)) -- University of Pretoria, 2008.

Thesis (M.Econ..)--University of Hong Kong, 2001. / Includes bibliographical references. Also available in print.

The globilisation phenomena is causing an increasing interaction between different markets and sectors. This has led to the evolution of derivative instruments from ”single asset” instruments to complex derivatives that have underlying assets from different markets, sectors and sub-sectors. These are the so-called hybrid products that have multi-assets as underlying instruments. This article focuses on interest rate hybrid products. In this article an analysis of the application of stochastic interest rate models and stochastic volatility models in pricing and hedging interest rate hybrid products will be explored.

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.

The study of interest pass through has been on the core attention of researchers since it serves as an incentive to evaluate the accuracy of monetary policy transmission mechanism. Therefore there are a lot of studies conducted under this topic encompassing a large number of countries and data. My aim, inspired by the great previous works, is to develop the same topic but by focusing on Balkan countries and more specifically on Albania. Being a developing country located on the heart of Balkan while aspiring the EU integration, Albania has gone under a considerable number of economic reforms which are also reflected on the degree and speed of transmission of policy rates to landing rates and on the determinants of such rates. Crisis of 2008 had a global impact but yet several conducted studies revealed that Albania was not directly affected by it. My contribution to this thesis consists in measuring how the pass-through mechanism performance was affected by the crisis and the implications derived from it. Powered by TCPDF (www.tcpdf.org)

by Low Fung Seong Jenny, Yau Yin. / Thesis (M.B.A.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 53). / ABSTRACT --- p.ii / TABLE OF CONTENTS --- p.iv / ACKNOWLEDGMENTS --- p.v / Chapter / Chapter I. --- INTRODUCTION --- p.1 / Chapter II. --- THE HONG KONG MONETARY SYSTEM --- p.3 / Linked Exchange Rate System --- p.3 / Monetary Base --- p.3 / Capital Inflow and Outflow --- p.4 / Interest Rate and the Link --- p.5 / The Interbank Market --- p.9 / Chapter III. --- INTRODUCTION TO HIBOR FUTURES --- p.11 / Background of the HIBOR Futures --- p.12 / Features of Three-Month HIBOR Futures Contract --- p.14 / Futures Quotations and Futures Prices --- p.16 / Delivery and Determination of Final Settlement Prices --- p.17 / Functions of HIBOR Futures Contract --- p.17 / Short Hedge --- p.18 / Long Hedge --- p.20 / Speculation --- p.22 / Chapter IV. --- TEST OF COST OF CARRY RELATIONSHIP FOR HIBOR FUTURES --- p.24 / Cost of carry Relationship --- p.24 / Forward and Futures Prices --- p.27 / Cash Prices versus Futures Prices --- p.27 / Testing the Cost of Carry on Three-month HIBOR Futures Contracts --- p.30 / Collection of Data --- p.30 / Methodology --- p.30 / Findings --- p.31 / Analysis of Findings --- p.35 / Chapter V. --- CONCLUSION --- p.37 / ENDNOTES --- p.38 / APPENDICES --- p.40 / BIBLIOGRAPHY --- p.53

Many financial contracts can be regarded as derivative securities where the underlying state variable is one or more rates of interest. A partial list of such contracts would include zero-coupon bonds, coupon paying bonds, callable bonds, convertible bonds, retractable/extendable bonds, etc., along with a number of popular interest rate derivatives such as swaps, swaptions, caps, and floors. A commonly used strategy for valuing these contracts is to base a continuous time model for the stochastic behaviour of the short term rate of interest. Three key features of most of the models currently in use are (i) the drift, or expected change over a short time period in the level of the short term interest rate, is a linear function; (ii) the conditional variance of changes in short term interest rates is not strongly related to the level of interest rates; and (iii) the short term interest rate is assumed to follow a diffusion process, which effectively means that it cannot change too rapidly over short periods of time. Each of these assumptions appears to be made primarily for modeling convenience, as they make it possible in some cases to derive analytical expressions for the values of bonds and European-style bond options. If such solutions are not available, then numerical techniques such as Monte Carlo simulation or the numerical solution of partial differential equations are needed. However, available econometric evidence indicates that all of the assumptions noted above are questionable: changes in short term interest rates may be characterized by drift which is nonlinear and by conditional variance that depends more heavily on the level of interest rates than is assumed in models with analytic solutions. Moreover, they may be better approximated by a jump-diffusion process which allows for sudden discontinuous changes. Consequently, it is of interest to develop numerical techniques to value interest rate derivative securities for cases where the short term interest rate follows a jump-diffusion process featuring non-linear drift. This thesis describes and illustrates the use of such techniques.

Many financial contracts can be regarded as derivative securities where the underlying state variable is one or more rates of interest. A partial list of such contracts would include zero-coupon bonds, coupon paying bonds, callable bonds, convertible bonds, retractable/extendable bonds, etc., along with a number of popular interest rate derivatives such as swaps, swaptions, caps, and floors. A commonly used strategy for valuing these contracts is to base a continuous time model for the stochastic behaviour of the short term rate of interest. Three key features of most of the models currently in use are (i) the drift, or expected change over a short time period in the level of the short term interest rate, is a linear function; (ii) the conditional variance of changes in short term interest rates is not strongly related to the level of interest rates; and (iii) the short term interest rate is assumed to follow a diffusion process, which effectively means that it cannot change too rapidly over short periods of time. Each of these assumptions appears to be made primarily for modeling convenience, as they make it possible in some cases to derive analytical expressions for the values of bonds and European-style bond options. If such solutions are not available, then numerical techniques such as Monte Carlo simulation or the numerical solution of partial differential equations are needed. However, available econometric evidence indicates that all of the assumptions noted above are questionable: changes in short term interest rates may be characterized by drift which is nonlinear and by conditional variance that depends more heavily on the level of interest rates than is assumed in models with analytic solutions. Moreover, they may be better approximated by a jump-diffusion process which allows for sudden discontinuous changes. Consequently, it is of interest to develop numerical techniques to value interest rate derivative securities for cases where the short term interest rate follows a jump-diffusion process featuring non-linear drift. This thesis describes and illustrates the use of such techniques.

The policy instrument of central banks everywhere has usually been a short-term nominal interest rate. This means that central banks have adopted operating procedures whose goal has been to produce some desired level of money market interest rates. Although the Bank of England was in many respects the pioneer of these operating procedures, theoretical and empirical attention has focused almost exclusively on the Federal Reserve. This thesis aims to redress this imbalance by examining - in detail - the sterling money market and the operations of the Bank of England. This task is carried out in two parts. Part I reviews central banks' use of the interest instrument more generally, beginning with an historical sketch of the evolution of central bank money market operations. This sketch is complemented by a critical discussion of two important concepts relating to such operations, namely interest rate smoothing and money base control. A simple analytical model is then developed to illustrate the determination of money market interest rates by the central bank. Part II specifically concerns the money market operations of the Bank of England, and their implications for the behaviour of sterling money market interest rates. First, a model of the term structure of money market interest rates is derived. Its predicted behaviour in reaction to a change in the Bank's official rate is then empirically verified. Next, the yield on eligible bills - the Bank's intervention asset - is examined. It is argued that these assets carry an excess liquidity premium, arising from the Bank's constraints on their issue. Finally, an empirical model of the overnight interest rate - the UK equivalent of the federal funds rate - is developed, and the reasons for its volatility are investigated.