Narrative Transportation and Paratextual Features of Social Media in Viral Advertising

This study establishes that the experience of narrative transportation has a positive influence on viral advertising. The relative strength of this relationship, however, depends on several boundary conditions associated with the paratextual features of social networking service (SNS) environments. Specifically, it is stronger if the senders and intended receivers have personal ties. Moreover, the influence of narrative transportation is negatively moderated by advertising disclosure that elicits persuasion knowledge. Finally, the negative effect of persuasion knowledge is reduced if the ad appears with a higher number of “likes,” which increases social proof for viral ads. Implications regarding viral advertising and social media behaviors are discussed.     

A positive interest rate model with sticky barrier

This paper proposes an efficient model for the term structure of interest rates when the interest rate takes very small values. We make the following choices: (i) we model the short-term interest rate, (ii) we assume that once the interest rate reaches zero, it stays there and we have to wait for a random time until the rate is reinitialized to a (possibly random) strictly positive value. This setting ensures that all term rates are strictly positive.

Our objective is to provide a simple method to price zero-coupon bonds. A basic statistical study of the data at hand indeed suggests a switch to a different mode of behaviour when we get to a low level of interest rates. We introduce a variable for the time already spent at 0 (during the last stay) and derive the pricing equation for the bond. We then solve this partial integro-differential equation (PIDE) on its entire domain using a finite difference method (Cranck–Nicholson scheme), a method of characteristics and a fixed point algorithm. Resulting yield curves can exhibit many different shapes, including the S shape observed on the recent Japanese market.