Modifying the proof of a theorem of Wilkie, it is shown that if a one dimnsional set S is definable in an O minimal expansion of the ordered field of the reals, and if it is regularly exponentially near to many integral points, then there is an unbounded set, which is R definable without parameters, and which is exponentially near to S.

In this article we will describe some of the main developments in interest-rate modelling since Black & Scholes’ (1973) and Merton’s (1973) original articles on the pricing of equity derivatives. In particular, we will focus on continuoustime, arbitrage-free models for the full term structure of interest rates. Other models which model a limited number of key interest rates or which operate in ...

This paper investigates the relationship between macroeconomic instability and private investment of the Iranian economy. The study uses a trivariate VAR(2)-GARCH(1,1)-in-Mean with diagonal BEKK approach to proxied inflation and exchange rate uncertainties as the main indicators of macroeconomic instability. Moreover, Bounds testing approach to level relationship applied to investigate the long...

t Wilkie's stochastic investment model and its variants have been increasingly applied by actuaries around the world to actuarial modeling and simulation. This paper performs time series outlier analysis on retail price inflation, which is the driving force of Wilkie's composite model. The data come from four developed countries: the United Kingdom, the United States, Canada, and Australia. The...

BACKGROUND In recent years, China has experienced tremendous growth in its pharmaceutical industry. Both the Chinese government and private investors are motivated to invest into pharmaceutical research and development (R&D). However, studies regarding the different behaviors of public and private investment in pharmaceutical R&D are scarce. Therefore, this paper aims to investigate the current...

We present a theory of endogenous fiscal policy and growth. Fiscal policy — debt, income tax, spending on local public goods and public investment — is determined through legislative bargaining. Economic growth depends directly on public investment, private investment in human capital and, via learning-by-doing, labor supply. The model predicts that the economy converges to a balanced growth pa...

Does official aid pave the road for private foreign investment or does it suffocate private initiative by diverting resources towards unproductive activities? In this paper we explore this question using data for a large number of developing and emerging economies. Controlling for countries’ institutional environment, we find that, evaluated at the mean, the marginal effect of aid on private fo...

this paper extends endogenous growth models through augmenting it with government budget and oil revenues as well as the effect of public investment efficiency on long run growth of private and government consumption and import for an oil producing economy. based on the extracted model, the optimal growth rate of government current expenditure (or consumption) has a positive relation with the e...

Government policies are critical in determining the rate of economic growth, the levels of private investment and the magnitude of credit to the private sector. Since the adoption of the economic recovery programmes (ERPs) in 1986, Tanzania has embarked on policies that aim to rebalance the role of public and private sector in the economy and thus emphasize private sector development. This is a...

Does official aid pave the road for private foreign investment or does it suffocate private initiative by diverting resources towards unproductive activities? In this paper we explore this question using data for a large number of developing and emerging economies. Controlling for countries‘ institutional environment, we find that, evaluated at the mean, the marginal effect of aid on private fo...