Global economy gathering strength

Encouraged by a highly expansionary economic policy, the global economy is enjoying a rapid upturn. Utilisation of capacity is high in many sectors, particularly in the growth centres of the USA and East Asia, where China leads the field. With inflationary risks on the increase, most countries are now shifting the focus of economic policy. Fiscal policy in particular can be expected to provide little in the way of further stimulus. In addition, there has been a turnaround in interest rates in many countries. Yet how quickly can the monetary reins be tightened without jeopardising growth or endangering price stability?     

New ways of achieving debt sustainability beyond the enhanced HIPC Initiative

In 1996 the Heavily Indebted Poor Countries (HIPC) Initiative was launched by the Bretton Woods institutions to reduce the external debt burden of low-income countries (LICs) to sustainable levels in a reasonably short period of time because debt constitutes an obstacle to sustainable economic growth and poverty reduction. In some HIPCs, however, debt sustainability has been in danger despite debt relief under the HIPC Initiative. Debt relief is a necessary but not a sufficient condition for development. It can do no more than play a catalytic role. The question, then, is how to achieve debt sustainability beyond the HIPC Initiative.     

THE SQUARED ORNSTEIN-UHLENBECK MARKET

We study a complete market containing J assets, each asset contributing to the production of a single commodity at a rate that is a solution to the squared Ornstein-Uhlenbeck (Cox-Ingersoll-Ross) SDE. The assets are owned by K agents with CRRA utility functions, who follow feasible consumption/investment regimes so as to maximize their expected time-additive utility from consumption. We compute the equilibrium for this economy and determine the state-price density process from market clearing. Reducing to a single (representative) agent, and exploiting the relation between the squared-OU and squared-Bessel SDEs, we obtain closed-form expressions for the values of bonds, assets, and options on the total asset value. Typical model parameters are estimated by fitting bond price data, and we use these parameters to price the assets and options numerically. Implications for the total asset price itself as a diffusion are discussed. We also estimate implied volatility surfaces for options and bond yields.