Description: We consider Libor market model and calibration process. We estimate some interest rate derivatives such as Caps and Swaptions. We use Monte Carlo methods with appropriate dynamics under spot measure and forward measure. Imposing martingale discretization property, the same quantities are estimated again to see a contrast or discrepancy in light of confidence interval. Based on algorithms discussed in the paper, “Arbitrage-free discretizations of lognormal forward Libor and swap rate models” by Glasserman, P and Zhao, X 2000, the algorithms are implemented in excel VBA. Starting with current market data such as FRAs and Bond Prices, we describe steps involved to estimate the price of interest rate derivatives such as Caps and Swaptions, which would be beneficial to the practitioners in the industry.

Description: This article presents a case study that examines the implication of using real-world interest rate scenario generators with a block of fixed deferred annuities. We contrast cash flow testing results based on New York 7 deterministic scenarios to stochastic scenarios generated with the Academy Interest Rate Generator , as well as an alternative economic scenario generator designed explicitly to capture the risk of a persistently low interest rate environment and the transition to a rising interest rate environment.

Description: This article provides an overview of the different types of real world interest rate scenarios that practitioners use in the life insurance industry and explores different approaches to building those generators.

Description: The purpose of this discussion is to introduce a few additional points and discuss how different assumptions will alter the results in some cases.