Suppose that $2700 is set aside each year and invested in a savings account that pays 10% intrest per year, compounded continuously.
a) Determine the accumulated savings in this account at the end of year 24
b) Suppose that an annuity will be withdrawn from savings that have accumulated at the end of year 24. The annuity will extend from the end of year 25 to the end of year 32. What is the value of this annuity if the interest rate and compounding frequency in part (a) do not change?