You have a choice between investing with three asset managers with different expected returns. You will invest $$10,000$ with one of them for $30$ years.

An investment with an $8\%$ expected return and a $1\%$ per annum management fee

An investment with a $5\%$ expected return and a $0\mathrm{.}25\%$ management fee

An investment with a $12\%$ expected return and a $2\%$ management fee

Which investment is the best choice?