2) Your parents will retire in 22 years. They currently have $240,000 saved, and they think they will need $1,600,000 at retirement. What annual interest rate must they earn to reach their goal, assuming they don't save any additional funds? Round your answer to two decimal places. 3)You have $21,587.55 in a brokerage account, and you plan to deposit an additional $3,000 at the end of every future year until your account totals $230,000. You expect to earn 12% annually on the account. How many years will it take to reach your goal? Round your answer to two decimal places at the end of the calculations. 4) An investment will pay $50 at the end of each of the next 3 years, $250 at the end of Year 4, $400 at the end of Year 5, and $550 at the end of Year 6. ● If other investments of equal risk earn 6% annually, what is its present value? Round your answer to the nearest cent. ● If other investments of equal risk earn 6% annually, what is its future value? Round your answer to the nearest cent. - 5) Find the following values using the equations and then a financial calculator. Compounding/discounting occurs annually. Do not round intermediate calculations. Round your answers to the nearest cent. ● An initial $500 compounded for 1 year at 6%. ● $ ● An initial $500 compounded for 2 years at 6%. ● $ ● The present value of $500 due in 1 year at a discount rate of 6%. ● $ ● The present value of $500 due in 2 years at a discount rate of 6%. ● $ 6) Sawyer Corporation's 2015 sales were $7 million. Its 2010 sales were $3.5 million. ● ● At what rate have sales been growing? Round your answer to two decimal places. % 7) How long will it take $300 to double if it earns the following rates? Compounding occurs once a year. Round each answer to two decimal places. How many number of years? ● ● 7%. year(s) ● ● ● ● ● ● 13%. year(s) 17%. year(s) 100%. year(s) 8) Find the present values of these ordinary annuities. Discounting occurs once a year. Round your answers to the nearest cent. ● $300 per year for 16 years at 4%. ● $ ● $150 per year for 8 years at 2%. ● $ ● $700 per year for 16 years at 0%. ● $ ● Rework previous parts assuming that they are annuities due. Round your answers to the nearest cent. ● $300 per year for 16 years at 4%. ● $ ● $150 per year for 8 years at 2%. ● $ ● $700 per year for 16 years at 0%. ● $ 9) You borrow $255,000; the annual loan payments are $20,549.53 for 30 years. What interest rate are you being charged? Round your answer to two decimal places. % 10) Your client is 27 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $10,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 8% in the future. ● If she follows your advice, how much money will she have at 65? Round your answer to the nearest cent. ● $ ● How much will she have at 70? Round your answer to the nearest cent. ● $ ● She expects to live for 20 years if she retires at 65 and for 15 years if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age? Round your answers to the nearest cent. ● Annual withdrawals if she retires at 65: $ ● Annual withdrawals if she retires at 70: $ 12) Find the amount to which $800 will grow under each of these conditions: ● 13% compounded annually for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. ● $ ● 13% compounded semiannually for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. ● $ ● 13% compounded quarterly for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. ● $ ● 13% compounded monthly for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. ● $ ● 13% compounded daily for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. ● $ 13) Find the future values of the following ordinary annuities: ● FV of $400 paid each 6 months for 5 years at a nominal rate of 7% compounded semiannually. Round your answer to the nearest cent. ● $ ● FV of $200 paid each 3 months for 5 years at a nominal rate of 7% compounded quarterly. Round your answer to the nearest cent. ● $ 15) Your firm sells for cash only, but it is thinking of offering credit, allowing customers 90 days to pay. Customers understand the time value of money, so they would all wait and pay on the 90th day. To carry these receivables, you would have to borrow funds from your bank at a nominal 9%, daily compounding based on a 360-day year. You want to increase your base prices by exactly enough to offset your bank interest cost.