You want to have a million dollars in the bank when you retire. You think you can save $5 000 this year, and increase that by 2% every subsequent year, in a bank that offers you 5% interest. If you make your first deposit in a year's time, how many years will it be from now before you can retire?
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![Question 2
You want to have a million dollars in the bank when you retire. You think you can save $5 000 this year, and increase that by 2% every subsequent
year, in a bank that offers you 5% interest. If you make your first deposit in a year's time, how many years will it be from now before you can retire?
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- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?How much money do you need to deposit in a bank account now so that you can withdraw $10,000 every 4 years forever if the interest rate is 7% per year, and the first withdrawal is scheduled 4 years from now? O a. $31,051 O b. $41,051 O c. $34,583 d. $138,332 e. $32,175
- You want to have a million dollars in the bank when you retire. You think you can save $5 000 this year, and increase that by 2% every subsequent year, in a bank that offers you 5% interest. If you make your first deposit in a year's time, how many years will it be from now before you can retire? 41 42 43 ✓44 451On the day you retire you have $500,000 saved. You expect to live another 30 years during which time you expect to earn 8% on your savings while inflation averages 3.5% annually. Assume you want to spend the same amount each year in real terms and die on the day you spend your last dime. What real amount will you be able to spend each year? a. $61,931.78 b. $79,211.09 c. $79,644.58 d. $30,695.77 2Now consider your financial objective is to save $500,000 for preparing your retirement, assuming 30 years from now. If you invest your RRSP savings in a mutual fund which can realize an average return of 10% per year. To achieve your goal, how much do you need to save at the end of each year over the 30-year period? a. 4,039.26 b. 3,039.62 c. 2,985.54 d. 10,988.32 3What is the FV of $100 deposited today into an account with an APR 12.6%, compounded semiannually for 10 years? a. 1478.96 b. 3460.06 c. 327.63 d. 339.36Problem 4 FUTURE VALUE OF AN ANNUITY. Your client is 40 years old; and she wants to begin saving for retirement, with the first payment to come one year from now. She can save $5,000 per year; and you advise her to invest it in the stock market, which you expect to provide an average return of 9% in the future. a. If she follows your advice, how much money will she have at 65? b. How much will she have at 70? c. She expects to live for20 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? Problem 5 FYALUATING LUMP SUMS AND ANNUITIES, Crissie just won the lottery, and she mus lumn sum today of $6
- 4. Looking forward - Future value Compounding Interest You know that paying yourself by depositing money in a savings account is a prudent start to your retirement plan. You determined that, based on your other obligations, you can save 6,875.00 per year via an annual, single year-end deposit. You are 40 years old now, so your money will grow for the next 25 years until you turn 65. You will open a savings account at the US Bank branch near your home. Its savings accounts are paying 6% interest. The following table shows the future value factors for various periods and interest rates: Future Value of an Annuity Factor Year 2% 3% 5% 6% 8% 9% 10% 10 10.950 11.460 12.578 13.180 14.487 15.190 15.937 12 13.412 14.190 15.917 16.870 18.977 20.140 21.384 15 17.293 18.600 21.578 23.270 27.152 29.360 31.772 20 24.297 26.870 33.066 36.780 45.762 51.160 57.274 25 32.030 36.460 47.726 54.860 73.105 84.700 98.346 30 40.567 47.570 66.438 79.060 113.282 136.300…Through your career, you have saved-up $1,150,000. You are now ready to retire. You discuss your plans with your bank's financial adviser. He informs you that you can establish an annuity that will pay $68,000 per year for 25 years. What is the implied rate the bank is offering? O 3.58% ○ 2.75% O 3.26% ○ 3.40%Assume that you own an annuity that will pay you $15,000 per year for 12 years, with the first payment being made today. You need money today to start a new business, and your uncle offers to give you $160,000 for the annuity. If you sell it, what rate of return would your uncle earn on his investment? O 2.28% O 2.20% O 2.22% 2.33% 2.59%
- Assume that you own an annuity that will pay you $15,000 per year for 12 years, with the first payment being made today. You need money today to open a new restaurant, and your uncle offers to give you $120,000 for the annuity. If you sell it, what rate of return would your uncle earn on his investment? Select the correct answer. a. 8.41% b. 8.21% c. 8.51% d. 8.31% e. 8.61%Assume that you own an annuity that will pay you $14,000 per year for 12 years, with the first payment being made today. You need money today to start a new business, and your uncle offers to give you $125,000 for the annuity. If you sell it, what rate of return would your uncle earn on his investment? a. 11.20% b. 4.46% c. 4.87% d. 20.01% e. 5.90%Every leap year you get a bonus of $20 000, which you put into a retirement account at 5% interest. If your first payment into the account is made in four years' time, and you put no other money into the account, how long will it be before you can retire with a million dollars? Select one: a. 48 O b. 44 O c. 40 d. 36 e. 52