Calculating Present Value. Brenda Young desires to have $20,000 eight years from now for her daughter's college fund. If she will earn 4 percent (compounded annually) on her money, what amount should she deposit now? Use the present value of a single amount calculation.
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- Comprehensive The following are three independent situations: 1. K. Herrmann has decided to set up a scholarship fund for students. She is willing to deposit 5,000 in a trust fund at the end of each year for 10 years. She wants the trust fund to then pay annual scholarships at the end of each year for 30 years. 2. Charles Jordy is planning to save for his retirement. He has decided that he can save 3,000 at the end of each year for the next 10 years, 5,000 at the end of each year for Years 11 through 20, and 10,000 at the end of each year for Years 21 through 30. 3. Patricia Karpas has 200,000 in savings on the day she retires. She intends to spend 2,000 per month traveling around the world for the next 2 years, during which time her savings will earn 18%, compounded monthly. For the next 5 years, she intends to spend 6,000 every 6 months, during which time her savings will earn 12%, compounded semiannually. For the rest of her life expectancy of 15 years, she wants an annuity to cover her living costs. During this period, her savings will earn 10% compounded annually. Assume that all payments occur at the end of each period. Required: 1. In Situation 1, how much will the annual scholarships be if the fund can earn 6%? How much at 10%? 2. In Situation 2, (a) How much will Charles have at the end of 30 years if his savings can earn 10%? How much at 6%? (b) If Charles expects to live for 20 years in retirement, how much can he withdraw from his savings at the end of each year if his savings earn 10%? How much at 6%? (c) How much would Charles need to invest today to have the same amount available at the time he retires as calculated in Situation 2(a) at 10%? How much at 6%? 3. In Situation 3, how much will Patricias annuity be?Refer to the present value table information on the previous page. What amount should Brett have in his bank account today, before withdrawal, if he needs 2,000 each year for 4 years, with the first withdrawal to be made today and each subsequent withdrawal at 1-year intervals? (Brett is to have exactly a zero balance in his bank account after the fourth withdrawal.) a. 2,000 + (2,000 0.926) + (2,000 0. 857) + (2,000 0.794) b. 2,0000.7354 c. (2,000 0.926) + (2,000 0.857) + (2,000 0.794) + (2,000 0.735) d. 2,0000.9264Brenda Young desires to have $20,000 eight years from now for her daughter’s college fund. If she will earn 4 percent (compounded annually) on her money, what amount should she deposit now? Use the present value of a single amount calculation. Use Exhibit 1-C. (Round time value factor to 3 decimal places and final answer to nearest whole number.)
- 1) Suppose that you want to create a "college fund" for your newborn child and place $300 in a bank account at the end of each of the next 20 years. If that account earns an annual rate of return of 7%, how much will be in that account at the end of the twentieth year? A) $13,420.00 B) $12,977.53 C) $13,178.20 D) $11,828.32 E) $12,298.651) millet wants to provide a ₱200,000 graduation gift for her daughter mae who is now 16 years old. she would like the fund to be available by the time her daughter is 20. she decides on an investment that pays 10% compounded quarterly. how large must the deposit be? A) Millet must deposit at least 137,000 B) Millet must deposit at least 138,000 C) Millet must deposit at least 135,000 D) Millet must deposit at least 136,000 2) What is the maturity value of 3,000 invested at 9.5% compounded semi annually for 3.5 years? A) Approximately 4,400 after three and a half years B) Approximately 4,600 after three and a half years C) Approximately 4,000 after three and a half years D) Approximately 4,200 after three and a half years 3) What will be the maturity value of 12,000 invested for four (4) yearsat 15% compounded quarterly? A) Approximately 22,000 after four years B) Approximately 21,400 after four years C) Approximately 21,600 after four years D) Approximately 21,800 after…You would like to give your daughter $75,000 towards her college education 16 years from now. How much money must you set aside today for this purpose if you can earn 8 percent on your investments? Group of answer choices $28,417.67 $18,388.19 $29,311.13 $21,891.79 $20,270.17
- 1. Millet wants to provide a P200,000 graduation gift for her daughter Mae who is now 16 years old. She would like the fund to be available by the time her daughter is 20. She decides on an investment that pays 10% compounded quarterly. How large must the deposit be? 6. Ms. Cruz can buy a piece of property for P6.500.000 cash or P4,000.000 down payment and P4,200,000 in five (5) years. If she has money earning 8%, converted quarterly, which is a better purchased plan and by how much?11. If Jennifer contributes $500 every quarter into her superannuation fund for the next 45 years, how much will she accumulate assuming she can earn 8% p.a. and the first contribution is made immediately? Select one: a. $652,810.16 b. $875,181.20 c. $858,020.78 d. $90,000.00In order to save for her high school graduation, Marie decided to save ₽200 at the end of each month. If the bank pays 0.250% compounded monthly, how much will be her money by the end of 6 years? A. ₽12,507.02 C. ₽14,507.02 B. ₽13,507.02 D. ₽15,507.02 _____ 2. How much should be invested in a fund each year paying 2% compounded annually to accumulate ₽100,000 for 5 years? A. ₽19,215.84 C. ₽21,215.84 B. ₽20,215.84 D. ₽22,215.84
- 1. Abbigail wish to establish a trust fund from which her daughter can withdraw $6,000 every six months for 15 years, when she reach 16 years old. At the end of which time she will receive the remaining money in the trust, which you would like to be $25,000. The trust will be invested at 6% per annum compounded semi-annually. How large should the trust be? 2. Dennis McDonald has just started working with the NCB as a sales representative and is just trying to catch up on having money for retirement. NCB offers him a pension plan with an annuity that is guaranteed to earn 11% interest compounded annually. She plans to work for 12 years before retiring and would then like to be able to draw an income of $110,000 per annum for 16 years. How much must be deposited per annum into his retirement fund to accomplish this? DO NOT USE EXCEL TO ANSWER DO NOT USE EXCEL SHOW ALL WORKINGSYour grandparents would like to establish a trust fund that will pay you and your heirs $185,000 per year forever with the first payment one year from today. If the trust fund earns an annual return of 3.6 percent, how much must your grandparents deposit today? Multiple Choice: $4,743,589.74 $4,282,407.41 $5,138,888.89 $4,496,527.78 $5,873,015.87Ann and Tom want to establish a fund for their grandson's college education. What lump sum must they deposit at a 10% annual interest rate, compounded quarterly, in order to have $30,000 in the fund at the end of 10 years? Question content area bottom Part 1 They should deposit $enter your response here. (Round up to the nearest cent.)