Vanilla interest rate swaps may be viewed as simple interest rate derivatives, but the implication of entering into such contracts may not be so readily apparent. In particular, investment managers and asset/liability managers in the insurance industry are often presented with such contracts from investment banks as hedging solutions for insurance liabilities, such as fixed annuities. Within the context of hedging insurance liabilities, if used properly the risk of using interest rate swaps is not as great as if the swap were used for speculative purposes. However, it is important for the interest rate exposure, which is inherent in interest rate (IR) swaps and other interest sensitive financial products, to be analyzed and understood by all practitioners. Though participants in the interest rate swap market often measure their exposure to the default of their counterparty, default risk is not the only material risk. In particular, this article will illustrate that the potential P&L exposure due to unanticipated interest rate changes also warrants attention, though it may not always be fully investigated. To quote renowned hedge fund manager George Soros: "the risks involved (in IR swap deals) are not always fully understood, even by sophisticated investors, and I am one of them." In this article, we provide a framework for measuring the potential interest rate exposure of such swaps. This framework incorporates the use of short-rate models which have been well documented in the academic literature, and widely employed in industry. We will consider generic interest rate swap deals in several different yield curves environments, and under various volatility assumptions, and investigate the potential P&L exposure, and the potential counterparty exposure, under a market-consistent set of yield-curve scenarios. Further, it is our goal to not only present the current analysis but also provide practitioners with the background and tools necessary in order to perform similar analysis. In order to achieve this goal we first provide background on IR swaps, and the various stochastic interest rate models commonly used in industry, as well as several other relevant topics.