An Alternative to the Bounds Test for Testing for Serial Correlation in Least-Squares Regression
This article shows how to transform residuals from regression on an arbitrary set of k regressors to a set of values having the same joint distribution as the residuals from regression on a different set L of k regressors. Let d′ denote the value of the statistic $\Sigma (z_{t}-z_{t-1})^{2}/\Sigma z_{t}^{2}$ calculated from these values. It is shown that for a suitable choice of L the distribution of d′ is the same as that of $d_{U}$ , the significance values of which are tabulated in [1].
The objective of this paper is to study the arbitrage free pricing of the covariance swap for Barndorff–Nielsen and Shephard (BN–S) type Levy process driven financial markets. One of the major challenges in arbitrage free pricing of swap is to obtain an accurate pricing expression which can be used with good computational accuracy. In this paper, we obtain analytic expressions for the pricing of the covariance swap. We show that with the analytic expressions obtained from the BN–S model, the error estimation in fitting the delivery price is much less than the existing models with comparable parameters. The models and pricing formulas proposed in this paper are computable in real time and hence can be efficiently used in practical applications.