$4$ marks

b$.$ You have just started a new job. Based on your salary, you plan to make a deposit of $$17,000$ at the end of each year in a savings account that pays a fixed interest rate of $8\%$ compounded

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annually. Suppose you are able to buy a small apartment at the end of six years for a guaranteed price of $$129,000.$ Determine whether you will have enough money to buy the apartment at the end of six$-$year period. Briefly explain your answer.

$5$ marks

c$.$ You have just agreed to sell your car to your friend. You are given an option of either receiving a total of $$75,000$ today or being paid $$13,000$ at the end of each year for the next $8$ years. If you can earn $9\%$ interest rate compounded annually from your bank, which option should you take? Briefly explain your answer.

$5$ marks

d$.$ BVO Manufacturing Company has the option of making an investment in a new machine that will cost $$150,000$ today. It is estimated that this investment will provide the net cash inflows to the company over the next four years as shown in the following table.

$\backslash$table$[[$End of Year,$\backslash$table$[[$Net Cash$],[$Inflows$]]],[1,$$$35,000$