(Future value of an annuity and annuity payments) You are trying to plan for retiremant in 12 years, and currently you have $210,000 in a savingr account arid $350,000 in stocks. In addition, you plan to deposit $6,000 per year into your savings account at the end of each of the next 6 years, and then $10. Ob0 per yeir is the end of each year for the final 6 years until you retire. a. Aseuming your savings account returns 8 percent compounded annually, and your investment in slocks will return 12 parcent compounded anriz. y. how much will you have at the ond of 12 years? (Ignore taxes.) b. If you oxpect to five for 15 years afier you retire, and at retirement you deposit all of your savings into a bank acooint paying 11 percent, how much can you withdraw each year after you retire (making 15 equal withdrawals beginning one yoar after you retire) so that you end up with a zero-balance at death? a. Assume your savings account returns 8 percent compounded annually, and your imvestment in stocks wil retum 12 percent compounded annuany How much will you have at the end of 12 years in your savings account? (lgnore taxes.) (Round to the nearest cent.) How much will you have at the end of 12 yoars for your imvestment in stocks? (lgnore taxes,) (Round to the nearest cent.) (Future value of an annuity and annuity payments) You are trying to plan for retirement in 12 years, and currently you have $210,000 in a savings accoist and $350,000 in stocks In addition, you plan to deposit $6,000 per year into your savings account at the end of each of the next 6 years, and then 510,000 per year at the end of each year for the final 6 years until you retire. a. Assuming your savings account returns 8 percent compounded annually, and your investment in stocks will refum 12 percent compounded anchualy, how much will you have at the end of 12 years? (lgnore taxes.) b. If you expect to live for 15 years after you retire, and at retirement you deposit all of your savings into a bank account paying 11 percent, how ruch can you withdraw each year atter you retire (making 15 equal withdrawals beginning one year after you retire) so that you end up with a zero-balance at death? Therefore, how much will you have at the end of 12 years? (Round to the nearest cent.) b. If you expect to live for 15 years after you retire, and at retirement you deposit all of your savings into a bank account paying 11 percent, how much can you withdraw each year after retirement ( 15 equal withdrawals beginning one year afler you retire) to end up with a zero balance upon your death? (Round to the nearest cent.) (Future value of an annuity) Upon graduating from college 40 years ago, Dr, Nick Riviera was already planning for his rotirement. Since then, he has mace depoeits into a retirement fund on a quarterly basis in the amount of $400. Nick has just completed his final payment and is at last ready to retire. His retirement fird tias earned 11 percent compounded quarterly. Use five decimal places for the periodic interest rate in your calculations. a. How much has Nick accumulated in his retirement account? b. In addition to this, 15 years ago Nick received an inheritance check for $15,000 from his beloved uncle. He decided to deposit the entre amount in o fis retreriert fund. What is his current baiance in the fund? a. The amount Nick has accumulated in his retirement account is (Round to the nearest cont.) b. The amount the $15,000 inhentance check has accumulated to ovet 15 years is \& (Round to the nearest cent) The current balance in Nick's rotirement fund is S (Round to the nearest cent)