Assignment

1. Sarah Wiggum would like to make a single investment and have $1.6 million at the time of her retirement in 35 years. She has found a retirement fund that will earn 3% annually. How much will Sarah have to invest today? If she earned an annual return of 20%, how soon could she then retire?

2. After placing $13,000 in a savings account paying annual compound interest of 3%, Leona will accumulate what amount if she leaves the money in the bank for 4 years?

3. What is the present value of a perpetual stream of cash flow that pays $80,000 at the end of one year and grows at a rate of 5% indefinitely? The rate of interest used to discount the cash flows is 10%. What is the present value of the growing perpetuity?

4. What is the present value of a $650 perpetuity discounted back to the present at 10%? What is the present value of the perpetuity?

5. How much do you have to deposit today so that, beginning 11 years from now, you can withdraw $9,000 a year for the next 8 years (periods 11 through 18) plus an additional amount of $18,000 in the last year (period 18)? Assume an interest rate of 6%.