No abstract

The δ0(983)→2γ decay width is calculated in a linear σ-model framework, in which both quark and meson loops contribute to the decay amplitude, and compared to the experimental decay width. The result is seen to depend strongly on the magnitude of the light quark mass and is compatible with the present measured rate, up to experimental uncertainties, for quark masses of order 300 MeV.

No abstract

An installment option is a derivative financial security where the price is paid in installments instead of as a lump sum at the time of purchase. The valuation of these options involves a free boundary problem in that at each installment date, the holder of the derivative has the option of continuing to pay the premiums or allowing the contract to lapse, and the decision will depend upon whether the present value of the expected pay-off is greater or less than the present value of the remaining premiums. Using a model installment option where the premiums are paid continuously rather than on discrete dates, an integral equation is derived for the position of this free boundary by applying a partial Laplace transform to the underlying partial differential equation for the value of the security. Asymptotic analysis of this integral equation allows us to deduce the behavior of the free boundary close to expiry.

No abstract