This chapter presents a research on short selling decisions where consumer prices involve both currency trades with respect to foods, for which a new sparse patterned forgetting factor inclusive time-series approaches is used. In order to maximize forex trading opportunities and diversify a currency investment portfolio, results indicate that an investor can buy one short-term bullish currency
... [Show full abstract] and short sell another short-term bearish currency. While forex trade and environmental investment decisions still have to operate in an uncertain market, and human judgment can never be fully replaced, sparse patterned time-series modeling has a significant role to play in guiding effective forex trade strategy and short selling decisions. This chapter tests two hypotheses for this. The first hypothesis is that significant price indices will cause exchange rate movements under the conditions of weather shocks. The second hypothesis is that the levels of significant price indices under weather shocks lead to a change in the same direction as exchange rate movements, if comovements in the same direction exist in cointegrating relationships. These two hypotheses are tested by using recent developments in cointegration theory and are undertaken within the framework of sparse patterned vector error-correction modeling (VECM) and associated cointegrating vectors, with allowance for possible zero entries in coefficient matrices. This method is particularly useful for analyzing cointegrating relationships between exchange rates and prices in forex trade markets. A forgetting factor approach is adopted for the estimation of sparse patterned VECMs, which has been widely used to capture nonstationarity through patterned VECM modeling, including full-order models.