Answer using compound interest formula. Do not use excel in answering.

Investing for the Future

Gabrielle, a $22-$year$-$old Profit & Loss $($P&L$)$ analyst, has been working for one year after

graduating with a degree in Business and Finance.

She has decided to start saving for retirement. She has a chequing account that earns $1\%$

compounded annually, and she decides to transfer this amount into an RRSP that invests in the

bond market. The manager at her local bank assures her that the RRSP she chose would generate returns of $8\%$ compounded quarterly.

Thanks to her finance background, Gabrielle knows the importance of being a well$-$informed

investor and asks a series of important questions to the bank manager.

She wants to know if investing her money at $8\%$ compounded monthly or at $8\%$ compounded semi$-$annually would give her a higher accumulated value than the offered rate at the end of the same time period. Hint: Consider determining and interpreting the effective rate for each situation.

If she wants to withdraw an amount equal to $50\%$ of the original amount invested at the end of $5$ years and another amount equal to $50\%$ of the original amount invested at the end of $10$ years, what percent of her original investment $($to $2$ decimal places$)$ would be available for withdrawal at the end of $15$ years?

If she would like to make a deposit equal to $25\%$ of the original investment in $5$ years and another deposit equal to $75\%$ of the original investment in $10$ years, what percent of her original investment $($to $2$ decimal places$)$ would be available for withdrawal at the end of $15$ years?