A person wants to accumulate RM 20,000 for his marriage fund at the end of 8 years. If he deposits RM1500 in the fund at the end of each of the first 4 years, and X amount in the fund at the end of each of the second 4 years, find X amount, if the fund is earning 7% effective. (answer to nearest ringgit).
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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?Your friend has a trust fund that will pay her the following amounts at the given interest rate for the given number of years. Calculate the current (present) value of your friends trust fund payments. For further instructions on present value in Excel, see Appendix C.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. 2,0000.9264
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- Shauna wishes to establish a trust fund from which her son can withdraw $50,000 every six months for 18 years, when he reaches 30 years old. After 8 years, he will receive $500,000 for college. The trust will be invested at 8.7% per annum compounded semi-annually. How large should the trust be?Janet Lopez wishes to establish a trust fund from which her son can withdraw $15,000 every six months for 21 years, when he reaches 25 years old. At the end of which time, he will receive the remaining money in the trust, which she would like to be $100,000. The trust will be invested at 7% per annum compounded semi-annually. How large should the trust be?A man invests P10,000 now for the college education of his 2-year old son. If the fund earns 14% effective, how much will the son get each year starting from his 18th to the 22nd birthday?
- A woman expects to have $10,000 in 4 years to buy a pair of earrings. She plans to create a sinking fund by depositing an amount every 6 months. If the fund earns 16% interest compounded semi-annually, find the semi-annual deposit and construct a sinking fund schedule.On January 1, Alan King decided to transfer an amount from his checking account into aninvestment account that later will provide $80,000 to send his son to college (four yearsfrom now). The investment account will earn 8 percent, which will be added to the fund eachyear-end.Required (show computations and round to the nearest dollar):1. How much must Alan deposit on January 1?2. What is the interest for the four years?a. What is the amount of the payments that Ned Winslow must make at the end of each of 8 years to accumulate a fund of $90,000 by the end of the 8th year, if the fund earns 8% interest, compounded annually? b. What is the amount of the payments that Ned Winslow must make at the end of each of 8 years to accumulate a fund of $90,000 by the end of the eighth year, if the fund earns 8% interest, compounded annually? c. Diane Ross has $20,000 to invest today at 9% to pay a debt of $47,347. How many years will it take her to accumulate enough to liquidate the debt? d. Cindy Houston has a $27,600 debt that she wishes to repay 4 years from today; she has $19,553 that she intends to invest for the 4 years. What rate of interest will she need to earn annually in order to accumulate enough to pay the debt?