This research aims to evaluate and compare the impact of the transaction costs on optimal hedging strategies for options, aspiring to amend the Black-Scholes (1973) [2] option pricing model.A Monte-Carlo simulation is conducted to bring forth a risk-return frameworks using the hedgingstrategies previously developed with French petroleum company Totals stock used as underlying asset.The risk-return framework results show that, via a hedging-errors/volatility and hedging-errors/VaR95％ computation, the Black-Scholes not surprisinglyranks last,generating poor results.Conversely, the fixed bandwidth delta strategy demonstrated the most favourable results featuring lower hedging errors along with a low standard deviation and value at risk.Depending on the hedging-error value,Lelands [1] and delta tolerance can be an astute alternative.