The Valuation of American Options with Stochastic Interest Rates: A Generalization of the Geske—Johnson Technique

The Geske–Johnson approach provides an efficient and intuitively appealing technique for the valuation and hedging of American-style contingent claims. Here, we generalize their approach to a stochastic interest rate economy. The method is implemented using options exercisable on one of a finite number of dates. We illustrate how the value of an American-style option increases with interest rate volatility. The magnitude of this effect depends on the extent to which the option is in the money, the volatilities of the underlying asset and the interest rates, as well as the correlation between them.     

A SAVINGS SUBSIDISATION SYSTEM IN A MODEL OF ENDOGENOUS FERTILITY AND ENDOGENOUS GROWTH: AN EXTENSION OF WIGGER (1999)

Population ageing is now an established demographic characteristic of many economies. Economists working in the endogenous growth theory tradition have sought to model the relationship between public pensions, financed on a 'Pay-As-You-Go' basis, and the growth in per capita incomes. The resultant intergenerational wealth redistribution from young to older people seems to decrease private savings, diminish capital accumulation, and lower the growth of per capita incomes. The underlying transmission mechanism appears to be a crowding out effect in private capital markets contingent upon the introduction of public pension systems. A growing literature exists on the interrelationships between public pension schemes, fertility rates and endogenous growth. Following Wigger's (1999) pioneering overlapping generations endogenous growth model, we extend this model to examine the effects of a savings subsidisation system on the rate of per capita income growth, fertility and voluntary intrafamily wealth transfers, where parents view children both as an insurance good and a consumption good. Moreover, children care about the consumption levels of their parents. An increase in contributions to a savings subsidised public pension scheme will crowd out private intergenerational transfers from the young to the old and thereby negate the usefulness of children as an insurance good.     

Hot Money and Quantitative Easing: The Spillover Effects of U.S. Monetary Policy on the Chinese Economy

We develop a factor‐augmented vector autoregression (FA‐VAR) model to estimate the effects that unanticipated changes in U.S. monetary policy and economic policy uncertainty have on the Chinese housing, equity, and loan markets. We find the decline in the U.S. policy rate since the Great Recession has led to a significant increase in Chinese housing investment. One possible reason for this effect is the substantial increase in the inflow of “hot money” into China. The responses of Chinese variables to U.S. shocks at the zero lower bound are different from those responses in normal times.     

The Dynamics of Dealer Markets Under Competition

The behavior of competing dealers in securities markets is analyzed. Securities are characterized by stochastic returns and stochastic transactions. Reservation bid and ask prices of dealers are derived under alternative assumptions about the degree to which transactions are correlated across stocks at a given time and over time in a given stock. The conditions for interdealer trading are specified, and the equilibrium distribution of dealer inventories and the equilibrium market spread are derived. Implications for the structure of securities markets are examined.     

Analysis of real GDP growth rates of greater China: An asymmetric conditional volatility approach

Most empirical studies of real gross domestic product (GDP) growth rates exclude the dimension of conditional volatility shocks. In this paper, we search for evidence of conditional volatility in the quarterly real GDP of greater China, which comprises the economies of Mainland China, the Hong Kong Special Administrative Region (SAR), and Taiwan. The widely accepted exponential GARCH model of Nelson [Econometrica 59 (1991) 347–370] is employed to capture the possible existence of asymmetric conditional volatility in real GDP. It is found that negative real GDP shocks may induce a greater impact on future volatilities compared with positive shocks of the same magnitude. Policy implications from our findings are discussed.