Retirement planning Personal Finance Problem Hal Thomas, a $30-$year$-$old

college graduate, wishes to retire at age $65.$ To supplement other sources of

retirement income, he can deposit $$2,100$ each year into a tax$-$deferred individual

retirement arrangement $($IRA$).$ The IRA will earn a return of $12\%$ over the next $35$ years.

a$.$ If Hal makes end$-$of$-$year $$2,100$ deposits into the IRA, how much will he have

accumulated in $35$ years when he turns $65?$

b$.$ If Hal decides to wait until age $40$ to begin making end$-$of$-$year $$2,100$ deposits into

the IRA, how much will he have accumulated when he retires $25$ years later?

c$.$ Using your findings in parts a and $b,$ discuss the impact of delaying deposits into the

IRA for $10$ years $($age $30$ to age $40)$ on the amount accumulated by the end of Hal's $65$th

year.

d$.$ Rework parts a$,$ b$,$ and c assuming that Hal makes all deposits at the beginning,

rather than the end, of each year. Discuss the effect of beginning$-$of$-$year deposits on the