Use time value of money techniques to answer the following questions. Be sure to show the appropriate information used for your calculations. Round all answers to the nearest whole dollar. You want to accumulate $5,000 in three years as a down payment on a house. If you can earn 6% on your investments, how much will you need to invest today in order to accomplish this? You are considering investing in a mutual fund that has shown an average return of 12% per year over the last ten years. You expect that the fund will continue to average this return (though nothing is guaranteed) in the future. If you invest $10,000 today in this mutual fund, how much can you expect to have in ten years, assuming monthly compounding? You are paying $100 at the end of each month into an insurance annuity contract that pays 7% per annum, compounded monthly. If you continue to pay this amount into the annuity for twenty-five years, how much will the annuity be worth at the end of that time? You would like to purchase a new Lexus today which has a sticker price of $40,000. You intend to finance the purchase over six years, making monthly payments at the end of each month. If you borrow the money to purchase the car at a 6% annual rate of interest, how much will your monthly payment be on the loan? You have won a $ 1,000,000 prize in a sweepstakes. If you take half of your winnings today and invest it at 10% for 10 years, how much will you have at the end of the ten years, assuming quarterly compounding