Enhanced group analysis of a semi linear generalization of a general bond-pricing equation

•Group classification of a quasi-linear variant of the bond-pricing equation.•We obtain and use the equivalence transformations to simplify the classification.•We obtain invariant solutions for the terminal and the barrier option problem.

The enhanced group classification of a semi linear generalization of a general bond-pricing equation is carried out by harnessing the underlying equivalence and additional equivalence transformations. We employ that classification to unearth the particular cases with a larger Lie algebra than the general case and use them to find non trivial invariant solutions under the terminal and the barrier option condition.