Elliott, Robert J.Siu, Tak KuenCohen, Samuel N.2016-01-042016-01-042014-08-04ELLIOTT, R. J., TAK KUEN, S., & COHEN, S. N. (2015). BACKWARD STOCHASTIC DIFFERENCE EQUATIONS FOR DYNAMIC CONVEX RISK MEASURES ON A BINOMIAL TREE. Journal Of Applied Probability, 52(3), 771-785.0021-9002http://hdl.handle.net/1880/51038author can archive pre-print (ie pre-refereeing). Link to publisher's version http://ezproxy.lib.ucalgary.ca/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=bth&AN=110520883&site=ehost-liveUsing backward stochastic difference equations (BSDEs), this paper studies dynamic convex risk measures for risky positions in a simple discrete-time, binomial tree model. A relationship between BSDEs and dynamic convex risk measures is developed using nonlinear expectations. The time consistency of dynamic convex risk measures is discussed in the binomial tree framework. A relationship between prices and risks is also established. Two particular cases of dynamic convex risk measures, namely risk measures with stochastic distortions and entropic risk measures, and their mathematical properties are discussed.enProbability TheoryStochastic Difference EquationsBinomial TheoremDiscrete systemsnon linear theoriesjournal article10.11575/PRISM/34063