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Question -
Q1- Jean-Rene wants to make a lump-sum deposit today such that at the end of every three months for the next five years he can receive a payment starting at $2,500 and increasing by 1% each time thereafter. At the end of the term, an additional lump-sum payment of $10,000 is required. If the annuity can earn 8.75% compounded semi-annually, what lump sum should he deposit today?
Q2- 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.
If the margin of safety for Kramer Company was 20%, fixed costs were $900,000, and variable costs were 70% of sales, what was the amount of actual sales
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