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Hal​ Thomas, a ​25-year-old college​ graduate, wishes to retire at age 65. To supplement other sources...

Hal​ Thomas, a ​25-year-old college​ graduate, wishes to retire at age 65. To supplement other sources of retirement​ income, he can deposit ​$2400 each year into a​ tax-deferred individual retirement arrangement​ (IRA). The IRA will earn a return of ​12% over the next 40 years.
a.  If Hal makes​ end-of-year ​$2400 deposits into the​ IRA, how much will he have accumulated in 40 years when he turns 65​?
b.  If Hal decides to wait until age 35 to begin making​ end-of-year ​$2400 deposits into the​ IRA, how much will he have accumulated when he retires 30 years​ later?
c.  Using your findings in parts a and ​b, discuss the impact of delaying deposits into the IRA for 10 years​ (age 25 to age 35 ​) on the amount accumulated by the end of​ Hal's 65th 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 future value accumulated by the end of​ Hal's 65th year.

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