Melt the butter in a frying pan over a medium heat.
Coat the monkfish in the chopped herbs. Add to pan and cook for three minutes, turn once and cook for a further three minutes.
For the purée, blend the carrots in a food processor until smooth.
Add the chicken stock and butter to the carrot purée and stir well.
Transfer this mixture into a saucepan and heat until all the stock has evaporated.
Serve the monkfish on a plate with the carrot purée.