The hidden martingale restriction in Gram-Charlier option prices

A hidden martingale restriction is developed for option pricing models based on Gram-Charlier expansions of the normal density function. The restriction is hidden behind a reduction in parameter space for the Gram-Charlier expansion coefficients. The resulting restriction is invisible in the option price.

Gram-scale and template-free synthesis of ultralong tin disulfide nanobelts and their lithium ion storage performances

Ultralong SnS2 nanobelts with a high production yield up to _98% were synthesized via a gram-scale and template-free solvothermal route. The synthetic mechanism of these intriguing ultralong nanobelts was proposed to be from the synergetic effect of the layered CdI2-type structure of SnS2 and surfacemodification of the capping reagent dodecanethiol. The resulting SnS2 nanobelts showed a high specific capacity of 640 mA h g_1 and stable cycling ability (560 mA h g_1 after 50 cycles), which is much better than a graphite anode.

Nutritional and functional evaluation of wheat flour cookies supplemented with gram flour

Protein-enriched cookies were prepared by supplementing gram flour into wheat flour at levels of 0%, 10%, 20%, 30%, 40% and 50% and analysed for physicochemical properties. The protein quality of the cookies was assessed by feeding gram flour-supplemented cookies to albino rats for 10 days. The supplementation resulted in a significant increase in protein, fat, crude fibre and ash contents of the cookies. The thickness and spread factor of cookies differ significantly while non-significant effect was observed in the width of the cookies. The protein efficiency ratio, net protein utilization, biological value and true digestibility differed significantly among diets containing cookies with gram flour fed to rats. Cookies with 30% substitution of straight grade flour and gram flour produced acceptable cookies as compared to control. The cookies containing 40-50% gram flour were best regarded as protein bioavailability for rats.