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Sanchez is eligible to receive retirement benefits of $901.01 at age 65, but decides to start receiving them when he turns 60 instead. This incurs a 36% penalty on his benefits. By taking his retirement benefits at age 60, he will realize a monthly saving of $184.80 in retirement fund contributions. Both the benefits and contributions savings are expected to rise monthly by 0.15%. He will contribute the sum of these two amounts into his RRSP, which earns 7.35% compounded monthly until age 65, when he retires. In retirement, he will use the accumulated savings, which are expected to earn 4.5% compounded quarterly, to top up his retirement benefit payments to his pre-penalty amount. The monthly benefits are expected to rise monthly by 0.15%.
a. Calculate the total of the monthly benefits and savings at age 60.
b. Calculate the future value of the monthly savings and benefits at age 65.
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