Invariant approaches to equations of finance (Q1649232)

Summary: We firstly show how effective it is to utilize the invariant criteria for scalar linear \((1+1)\) parabolic equations in order to perform reductions to the three Lie canonical forms of a bond-pricing model from finance. As a consequence we arrive at new results on bond-pricing equations that admit four nontrivial symmetries. In the second part we draw attention to a new method developed for equations of economics.