Q$1.$ In $2018-19,$ average NHL player earned $$2\mathrm{.}78$ million per year, while the average career was approximately six years. Assuming a $30$ percent tax rate and annual rate of return of $6\%-$ average rate of return used in pension plans in Canada, estimate future value of these payments at time T$=6($career end$).$

Q$2.$ Your pension will pay approximately $6,000$ a year $.$ British government $20-$year bonds yield $2\mathrm{.}60\%.$ You are offered a lump sum in return for a waiver on annual payments. How much should you ask for? Annual yield of $2\mathrm{.}6\%$ is quoted as an EAR $($effective annual rate$).$

Q$3.$ At your daughter's $6$th birthday party she tells you that she wants to go to Princeton. It will cost you $$30,000$ per year for her to attend this four$-$year program. You start putting money into an account that pays $14\%$ annually. You will begin to make deposits on her next birthday and continue this practice until her $17$th birthday. She starts college on her $18$th birthday$*.$ The second is payable on her $19$th birthday and so on$.$ How large are the annual deposits you make to this account?

$*$ first tuition payment