ASSIGNMENT 3- 60 MARKS

1. 1. (a) Briefly define interest rate and explain the types of interest rate. 10 Marks

1. (b) Jim deposits $3,000 today into an account that pays 10% per year, and follows it up with three more deposits at the end of each of the next 3 years. Each subsequent deposit is $2,000 higher than the previous one. How much money will Jim have accumulated in his account by the end of 3 years? 10 Marks

1. 2. (a) John wants to make sure that he has saved up enough money prior to the year in which his daughter begins college. Based on current estimates, he figures that college expenses will amount to $40,000 per year for 4 years (ignoring any inflation or tuition increases during the 4 years of college). How much money will John need to have accumulated in an account that earns 7% per year, just prior to the year that his daughter starts college? 10 Marks

1. (b) Jim needs to borrow $50,000 for a business expansion project. His bank agrees to lend him the money over a 5-year term at an APR of 9% and will accept either annual, quarterly, or monthly payments with no change in the quoted APR. Calculate the periodic payment under each alternative and compare the total amount paid each year under each option. 10 Marks

1. 3. (a) Joshua, who is currently 25 years old, wants to invest money into a retirement fund so as to have $2,000,000 saved up when he retires at age 65. If he can earn 12% per year in an equity fund, calculate the amount of money he would have to invest in equal annual amounts and alternatively, in equal monthly amounts starting at the end of the current year or month respectively. 10 Marks

1. (b) Kay has just taken out a $200,000, 30-year, 5%, mortgage. She has heard from friends that if she increases the size of her monthly payment by one-twelfth of the monthly payment, she will be able to pay off the loan much earlier and save a bundle on interest costs. She is not convinced. Use the necessary calculations to help convince her that this is in fact true. 10 Marks