Pricing of zero-coupon and coupon cat bonds

Krzysztof Burnecki; Grzegorz Kukla

Applicationes Mathematicae (2003)

  • Volume: 30, Issue: 3, page 315-324
  • ISSN: 1233-7234

Abstract

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We apply the results of Baryshnikov, Mayo and Taylor (1998) to calculate non-arbitrage prices of a zero-coupon and coupon CAT bond. First, we derive pricing formulae in the compound doubly stochastic Poisson model framework. Next, we study 10-year catastrophe loss data provided by Property Claim Services and calibrate the pricing model. Finally, we illustrate the values of the CAT bonds tied to the loss data.

How to cite

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Krzysztof Burnecki, and Grzegorz Kukla. "Pricing of zero-coupon and coupon cat bonds." Applicationes Mathematicae 30.3 (2003): 315-324. <http://eudml.org/doc/279221>.

@article{KrzysztofBurnecki2003,
abstract = {We apply the results of Baryshnikov, Mayo and Taylor (1998) to calculate non-arbitrage prices of a zero-coupon and coupon CAT bond. First, we derive pricing formulae in the compound doubly stochastic Poisson model framework. Next, we study 10-year catastrophe loss data provided by Property Claim Services and calibrate the pricing model. Finally, we illustrate the values of the CAT bonds tied to the loss data.},
author = {Krzysztof Burnecki, Grzegorz Kukla},
journal = {Applicationes Mathematicae},
keywords = {catastrophe bond; doubly stochastic Poisson process; loss distribution; non-arbitrage price; nonparametric tests},
language = {eng},
number = {3},
pages = {315-324},
title = {Pricing of zero-coupon and coupon cat bonds},
url = {http://eudml.org/doc/279221},
volume = {30},
year = {2003},
}

TY - JOUR
AU - Krzysztof Burnecki
AU - Grzegorz Kukla
TI - Pricing of zero-coupon and coupon cat bonds
JO - Applicationes Mathematicae
PY - 2003
VL - 30
IS - 3
SP - 315
EP - 324
AB - We apply the results of Baryshnikov, Mayo and Taylor (1998) to calculate non-arbitrage prices of a zero-coupon and coupon CAT bond. First, we derive pricing formulae in the compound doubly stochastic Poisson model framework. Next, we study 10-year catastrophe loss data provided by Property Claim Services and calibrate the pricing model. Finally, we illustrate the values of the CAT bonds tied to the loss data.
LA - eng
KW - catastrophe bond; doubly stochastic Poisson process; loss distribution; non-arbitrage price; nonparametric tests
UR - http://eudml.org/doc/279221
ER -

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