A pension fund for a local government's employees currently makes payouts to beneficiaries of

$$2,000,000(23)$ per year, with those payouts expected to grow with a forecasted inflation rate of $2\%$ per year forever. Compute how much money the pension fund currently needs to have now in order to fully fund that liability $($and ensure those payouts to pensioners are made$)$ if it believes it can earn $7\mathrm{.}94\%$ per year on its investments.

Assuming an individual believes he can earn $7\mathrm{.}94\%$ per year on his investments, compute how much money the individual would need to have in order to have real income of $$2,000(23)$ per year that grows with a forecasted inflation rate of $2\%$ per year for $30$ years.

Compute how much money you need to invest today in order to be able to have retirement income of $$48,000$ per year for $23+2$ years if you can earn $7\mathrm{.}33\%$ per year and if you plan to retire in $35$ years?

Compute how much money you need to invest today in order to be able to have retirement income of $$4000$ per month for $23+28$ months if you can earn $7\mathrm{.}33\%$ per year and if you plan to retire in $35$ years.