A non-government agency is funding annual seminar on campus by using earnings of a $100,000 gift. It is estimated that 12% interest rate will be realized in the first 10 years, but only 6% may be anticipated after that. i. What uniform annual payment may be established from the beginning to fund the seminar at the same level into infinity? ii. An additional gift of $10000 was received in the agency at the end of 5 years, which they have deposited in the seminar account. What will be the new annual payment starting from 6th year to infinity?
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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?35 The City of Sandwich purchased a swimming pool from a privateoperator as of April 1, 2020, for $400,000, of which $200,000 wasprovided by a one-time contribution from the General Fund, and$200,000 was provided by a loan from the First National Bank, securedby a note. The loan has an annual interest rate of 6 percent, payablesemiannually on October 1 and April 1; principal payments of $100,000are to be made annually, beginning on April 1, 2021. The city has acalendar year as its fiscal year. During the year ended December 31,2020, the following transactions occurred related to the City ofSandwich Swimming Pool:1.The amounts were received from the City General Fund and the FirstNational Bank.2.A loan was provided in the amount of $125,000 from the Water UtilityFund to provide working capital.3.The purchase of the pool was recorded. Based on an appraisal, itwas decided to allocate $100,000 to the land, $200,000 toimprovements other than buildings (the pool), and $100,000 to…(1) Five years ago, an alumnus of a university donated $55,996.8 to establish a permanent endowment for scholarships. The first scholarships were awarded 1 year after the contribution. If the amount awarded each year, that is, the interest on the endowment, is $4,017.55, the rate of return earned on the fund is closest to: (2) For the nonconventional net cash flow series shown, the external rate of return per year using the MIRR method, with an investment rate of 20% per year and a borrowing rate of 8% per year, is closest to: Year 0 1 2 3 4 NCF, $ −40,000 +16,767 −29,000 +25,000 +53,519 According to Descartes’ rule of signs, the possible number of rate of return values for the net cash flow series ++++−−−−−−+−+−−−++ is: 6 7 4 8
- Excel Institute Inc. is expanding its school facilities starting 2001. The program requires the following estimated expenditures: P1,000,000 at the end of 2001 P1,200,000 at the end of 2002 P1,500,000 at the end of 2003 To accumulate the required funds, it has established a sinking fund constituting of 15 uniform annual deposits, the first deposit has been made at the end of 1992. The interest rate of the fund is 2% per annum. Calculate the following: A. Annual deposit B. The Balance in the fund on January 1, 2002The Philippine Association of Board Examiners (PABE) desires to award a P3, 600 scholarships annually to deserving students for as long as its scholarship fund shall last. The fund was started July I, 1977 by a donor in the amount of P 18, 000. The PABE invested this sum at that time at 8% per annum and plans on adding P600 each year to the fund flow its dues starting July 1, 1978 for as long as awards are made. a. For how many years, starting July I, 1978 can scholarship be awarded? b. What will be the balance in the fund after the last award is made?The officers and board of directors of the Institute of Integrated Electrical Engineers desire to award a Php 3,600 scholarship annually to deserving electrical engineering students for as long as its scholarship fund shall last. The fund was started on July 1, 1987 by a donor in the amount of Php 18,000. The IIEE invested this amount at that time at 8% per annum and plans on adding Php 600 each year to the fund from its dues starting July 1, 1988 for as long as awards are made.a. For how many years starting July 1, 1988 can scholarship be awarded?b. What will be the balance in the fund after the last award is made?c. Draw the cash flow diagram.
- Tyu plans to construct an adiitional building at the end of 10 years at an estimated cost of P5,000,000. To accumulate this amount, it will deposit equal year-end amounts in a fund earning 13%. However, at the end of the fifth year, it decided to have a larger building estimated to cost P8,000,000. What is the equal year-end payments made for the first five years?ABC corporation received P10,000,000 from the City of Caloocan in relation to defraying its research expenses in relation to COVID-19 for the next 5 years. The research expenses will be incurred by the entity as follows: 1st year 2nd • year 3rd year Ath year 5th year P2.000.000 1,000.000 3.000.000 4.000.000 2 500.000 P12,500,000 The grant income to be recognized in the second year should be?The Alumni Association of a university desires to award 730,000 pesos scholarship annually to deserving students for as long as its scholarship fund shall last. The fund was started on July 1, 2018 by a donor in the amount five times of 730,000. The Alumni Association invested this sum at that time at 8% per annum and plans on adding an amount of 1000 per year to fund from its dues starting July 1, 2019 for as long as awards are made. For how many years starting July 1, 2019 can scholarship be awarded?
- broadband service company borrowed $ 2 mil lion for new equipment and repaid the loan in amounts of $ 200,000 in years 1 and 2 plus a lump sum amount of $ 2.2 million at the end of year 3 . What was the interest rate on the loan ? 6.17 A permanent endowment at the University of Alabama is to award scholarships to engineering students two times per year ( end of June and end of December ) . The first awards are to be made beginning 5-1 / 2 years after the $ 20 million lump sum donation is made . If the interest from the endowment is to fund 100 students each semester ( i.e. , twice a year ) in the amount of $ 5000 each semester , what semiannual rate of return must the endowment fund earn ? Identify three possible difficulties with rate of return analyses compared to PW , AW , or FW analyses .ELJ Corporation plans to construct its own building at the end of 10 years for an estimated cost of P15,000,000.00. To accumulate this amount, it will have to make equal year end deposits in a fund earning 13%. However, at the end of the 5th year, it was decided to have a larger building that originally intended to an estimated cost of P24,000,000.00. What should be the annual deposit for the last 5 years? Answer. P2,203,175.822 Southeastern College began the year with endowment investments of $1,450,000 and $860,000 of restricted cash designated by a donor for capital additions. During the year, an additional $524,000 ddonation was received for capital additions. These funds, together with those contributed in the prior year, were used to purchase 150 acres of land adjacent to the university. An alum contributed $360,000 to the permanent endowment and pledged to provide an additional $580,000 early next year. The cash was immediately invested. By terms of the endowment agreement, interest and dividends received on the investments are restricted for scholarships. Gains or losses from changes in the fair value of the investments, however, are not distributed but remain in the endowment. During the year, $66,000 of interest and dividends were received on endowment investments. At year-end, the fair value of the investments had increased by $9,300. Required: Prepare journal entries to record the above…