4. (1pt) An investment returns $1 per year for 10 years, with the first payment occurring a year from now. If the required return on this investment is 10% a year, what is the value of the investment today? What is the value today if the payments occurred for 40 years? What if the payments occurred forever (in perpetuity)? 5. (2pts) You decide to invest $100 a year for 3 years. You make the first $100 investment today. How much will these investments be worth 4 years from today if you invest at an annual rate of return of 20%? Solve this problem by modifying the formula for the future value of an ordinary annuity. 6. (2pts) Prepare an amortization schedule for a three-year loan of $100,000. The interest rate is 10% per year, and the loan calls for equal annual payments. How much interest is paid in the third year? How much total interest is paid over the life of the loan