please show all of your work

question. Show your work in the space provided on the answer sheet for all questions and explain your answers. Learning Goal 1: Analytical - Apply appropriate problem-solving methodologies to the analysis and solution of financial problems Students are able to use TVM techniques to problems involving loan payments and asset values Student computes present and future values 1. a. You deposit $100 into an account earning a 10% annual rate of interest. How much money will you have in the account at the end of five years? (30 points) b. You have just won the lottery and have a choice of receiving a lump sum of $1,000,000 or an annuity of $100,000 per year for 15 years. If the appropriate discount rate is 8%, which alternative would you choose? (10 points) Explain. (30 points) c. What happens to the future value of a sum of money deposited for years as the rate of return increases? (15 points) What happens to the present value of a sum of money to be received at the end of N years as k increases? (15 points)