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9. You just graduated and started a iob. Wisely, you have started make equal mon

ID: 2816621 • Letter: 9

Question

9. You just graduated and started a iob. Wisely, you have started make equal monthly deposits into an account which earns 8.00% pa. compo an to a retirement plan. You pl unded monthly The first from today at which time you retire. After st deposit is made today. The final monthly deposit will be made exactly 30 years you retire you make monthly withdrawals of per month for 30 years. The first withdrawal is made exactly one month atter you retire. Exactly 10 years after your retire you plan to buy a jeep and a mountain cabin for a total of $350,000. To reach your goal you must employed. A. 929.10 B. 935.91 C. 952.62 D. 1,020.25 E. 1,012.80 deposit it each month while you are 10. Th e primary goal of a publicly-owned firm interested in serving its stockholders should be to A. maximize expected net income B. maximize the firm value maximize expected total corporate profit maximize expected EPS minimize the chances of losses E. 11. An investor will be willing to pay$ today for a money machine that will produce $1,000 four years from today. Assume the appropriate interest rate is 10%. A. 909.09 B. 826.45 C. 751.31 D. 683.01 12. You will deposit $200 per year for 10 years into an account that earns 5%. The first deposit is made next year. How much will be in the account 10 ycars from today? A. 1,661.28 B. 2,841.36 C. 2,983.43 D. 2,515.58 13. You will deposit $200 per year for 1 1 years into an account that earns 5%. The first deposit is made today. How much will be in the account 10 years from today? A. 1,661.28 B. 2,841.36 C. 2,983.43 D. 2,515.58

Explanation / Answer

9) Discounted value of cost of jeep and mountain cabin at t30 year = 350000/(1+0.08/12)^120 = $    1,57,683.21 Discounted value of monthly withdrawals at t30 year = 10000*((1+0.08/12)^360-1))/((0.08/12)*(1+0.08/12)^360) = $ 13,62,834.94 Total amount required at t30 $ 15,20,518.15 Monthly deposits to be made = = 1520518.15*((0.08/12))/((1+0.08/12)^361-1)) = $          1,012.80 Answer: Option [E] 10) Answer: Option [B] 11) The amount that can be paid is the PV of the $1000 to be received after 4 years = 1000/1.1^4 = $              683.01 Answer: Option [d] 12) FV of the amounts deposited = 200*(1.05^10-1)/(0.05) = $          2,515.58 Answer: Option [D] 13) FV of the amounts deposited = 200*(1.05^11-1)/(0.05) = $          2,841.36 Answer: Option [B]