Question

(1) You wish to retire in 10 years, at which time you want to have accumulated enough money to receive an annual annuity of $13,000 for 15 years after retirement. During the period before retirement you can earn 9 percent annually, while after retirement you can earn 11 percent on your money.
What annual contributions to the retirement fund will allow you to receive the $13,000 annuity? Use Appendix C and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
  

Annual contribution=

(2) Mr. Dow bought 100 shares of stock at $17 per share. Three years later, he sold the stock for $23 per share. What is his annual rate of return? Use Appendix B for an approximate answer, but calculate your final answer using the financial calculator method. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
  

Annual rate of return % =

(3) Franklin Templeton has just invested $9,760 for his son (age one). This money will be used for his son’s education 19 years from now. He calculates that he will need $35,235 by the time the boy goes to school.
What rate of return will Mr. Templeton need in order to achieve this goal? Use Appendix B for an approximate answer, but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
Rate of Return% =

(4) Juan Garza invested $103,000 5 years ago at 8 percent, compounded quarterly. How much has he accumulated? Use Appendix A for an approximate answer but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
Future Value =

(5) Jack Hammer invests in a stock that will pay dividends of $3.15 at the end of the first year; $3.60 at the end of the second year; and $4.05 at the end of the third year. Also, he believes that at the end of the third year he will be able to sell the stock for $65.What is the present value of all future benefits if a discount rate of 8 percent is applied? Use Appendix B for an approximate answer, but calculate your final answer using the formula and financial calculator methods.

Dividend Present Value

$3.15

3.60

4.05

65.00

Total

(6) Rita Gonzales won the $44 million lottery. She is to receive $2 million a year for the next 17 years plus an additional lump sum payment of $10 million after 17 years. The discount rate is 9 percent.
What is the current value of her winnings? Use Appendix B and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods.(Do not round intermediate calculations. Round your final answer to 2 decimal places.)
Present Value =  

Answer 1

Annual contribution is $6,152.95

1)	Step-1:Calculation of present value of annual annuity after retirement
	Present value	=	Annuity	*	Present value of annuity of 1
		=	$       13,000	*	7.19087
		=	$ 93,481.30
	Working:
	Present value of annuity of 1	=	(1-(1+i)^-n)/i		Where,
		=	(1-(1+0.11)^-15)/0.11		i	11%
		=	7.19086958		n	15
	Step-2:Calculation of annual contribution
	Annual contribution	=	Future value of annual contribution	/	Future value of annuity of 1
		=	$ 93,481.30	/	15.19293
		=	$   6,152.95
	Working:
	Future value of annuity of 1	=	(((1+i)^n)-1)/i		Where,
		=	(((1+0.09)^10)-1)/0.09		i	9%
		=	15.1929297		n	10