Your grandmother tells X that she has 100,000 in her savings account She plans to sell your current Motorcycle for 80,000 in ten years as she hopes that you would have purchased your own car by then. Despite the low pay, your grandmother plans work for 20 years more at Hospital, and expects to save 10,000 a year for the next 10 years, and 15,000 a year for the following 10 years. (a) You and X both know that your grandmother earns 5% on both her current and future savings. Your grandmother is trying to find out how much should she expect to have in savings, when she retires in 20 years. Before X answers, you want to do the calculations yourself. What would be the correct answer to this question, show complete working. (b) If your grandmother plans to withdraw the money in equal annual installments over the 15 years following her retirement, how much can each withdrawal be? You and X assume that the interest rate continues to be 5% after the twentieth year. Show complete working. (c) How would your answer to (a) change if interest rates are expected to rise to 6% after ten years?