BACK-OF-THE-ENVELOPE SWAPTIONS IN A VERY PARSIMONIOUS MULTI-CURVE INTEREST RATE MODEL

We propose an elementary model in multi-curve setting that allows to price with simple exact closed formulas European swaptions. Swaptions can be both physical delivery and cash-settled ones. The proposed model is very parsimonious: it is a three-parameter multi-curve extension of the two-parameter J. Hull & A. White (1990) [Pricing interest-rate-derivative securities. Review of Financial Studies 3(4), 573–592] model. The model allows also to obtain simple formulas for all other plain vanilla Interest Rate derivatives and convexity adjustments. Calibration issues are discussed in detail.

THE POTENTIAL APPROACH IN PRACTICE

This paper studies the fitting of Markov chain potential models to interest-rate derivative prices in four currencies simultaneously, using sequential Monte Carlo methodology (particle filtering). The potential approach starts from some Markov process which is supposed to drive the random observations, and there have been many studies where this Markov process is taken to be a diffusion; fewer studies have worked from a finite-state Markov chain, and this seems to be the first study to attempt to fit such models to data. With the available data, we show impressive agreement of the fitted models with market prices.

Pricing interest rate derivatives with model risk

This paper studies an interest rate derivative when there is the model risk in an interest rate model. We consider a mean reverting interest rate process whose volatility model is not known. Most of prices of interest rate derivatives cannot be determined uniquely, based on this interest rate model. We study the price bounds of a derivative and propose how to calculate the price bounds by a trinomial model. Further, we analyze the model risk of derivatives and their portfolios numerically.

Rise and Fall of Interest Rate Futures in Indian Derivative Market

Interest rate derivatives are the most traded and widely accepted derivative instrument in the international market. But this product is not popular in Indian derivative market. In 1999, the Over the Counter (OTC) interest rate derivative products were introduced and successful in terms of volumes. The Indian financial market introduced exchange traded interest rate derivatives in the year 2003, 2009 and 2014. While the product failed twice, in the third time (in 2014) the initial volumes are sharply declining in three exchanges viz. MCX-SX, NSE and BSE. In this backdrop, this study attempts to analyse the past, present and future of interest rate futures in Indian derivative market using the volumes, values and open interest of Interest rate derivatives for three exchanges.