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[Abstract] Starting from an original portfolio of life insurance policies, in this article we propose a methodology to select model points portfolios that reproduce the original one, preserving its market risk under a certain measure. In order to achieve this goal, we first define an appropriate risk functional that measures the market risk associated to the interest rates evolution. Although other alternative interest rate models could be considered, we have chosen the LIBOR (London Interbank Offered Rate) market model. Once we have selected the proper risk functional, the problem of finding the model points of the replicating portfolio is formulated as a problem of minimizing the distance between the original and the target model points portfolios, under the measure given by the proposed risk functional. In this way, a high-dimensional global optimization problem arises and a suitable hybrid global optimization algorithm is proposed for the efficient solution of this problem. Some examples illustrate the performance of a parallel multi-CPU implementation for the evaluation of the risk functional, as well as the efficiency of the hybrid Basin Hopping optimization algorithm to obtain the model points portfolio. ; This research has been partially funded by EU H2020 MSCA-ITN-EID-2014 (WAKEUPCALL Grant Agreement 643045), Spanish MINECO (Grant MTM2016-76497-R) and by Galician Government with the grant ED431C2018/033, both including FEDER financial support. A.F., J.G. and C.V. also acknowledge the support received from the Centro de Investigación de Galicia "CITIC", funded by Xunta de Galicia and the European Union (European Regional Development Fund- Galicia 2014-2020 Program), by grant ED431G 2019/01 ; Xunta de Galicia; ED431C2018/03 ; Xunta de Galicia; ED431G 2019/01

AbstractOne of the on‐going consequences of recent financial crises seems to be that the conventional 'anchor' measures of global finance (such as the US dollar, treasury bonds and AAA rated securities) are no longer playing the anchoring role once believed of them. LIBOR now needs to be added to this list and not just because it has been tarnished by illegal practices, but because it is looking increasingly surpassed by financial market practices. LIBOR was believed to provide a risk‐free rate of interest, but has been revealed to be risk‐laden. Moreover, LIBOR is a measure of the costs of borrowing, whilst market concern is increasingly with measures of interest rate volatility.This paper looks at why, in the context of crisis, financial market focus on interest rates is turning towards other benchmarks, notably the overnight indexed swap (OIS) market, and what this shift might be telling us about the anchoring requirements of global financial markets.

Using data from the Treasury versus London Interbank Offer Swap Rates (LIBOR) for October 1987 to June 1998, this paper examines the determinants of swap spreads in the Treasury-LIBOR interest rate swap market. This study hypothesizes Treasury-LIBOR swap spreads as a function of the Treasury rate of comparable maturity, the slope of the yield curve, the volatility of short-term interest rates, a proxy for default risk, and liquidity in the swap market. The study finds that, in the long-run, swap spreads are negatively related to the yield curve slope and liquidity in the swap market. We also find that swap spreads are positively related to the short-term interest rate volatility. In the short-run, swap market's response to higher default risk seems to be higher spread between the bid and offer rates.