The Metropolitan Museum has received a charitable donation of $2,000,000, which is to be used to purchase new exhibits at the end of every three months. If the money earns 12% compounded annually, how much could be paid out every three months in perpetuity? $24,000 $60,000 $57.475 $114, 704
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- The National Research Council is considering the establishment of a perpetuity to fund faculty positions at a local university. The ongoing cost will be $9500 at the end of each month. If the money can earn 6.3% compounded monthly in perpetuity, what amount to be invested now is required to fund the perpetuity? Select one: a. $301,587 b. $1,819,024 c. $160,294 d. $612,675 e. $1,809,524The Fillmore Fan Company sets aside $28,500 from each quarter's profits and invests the money in a special account to help pay for future planned improvements to its facilities. If this account earns 4.75%, how much will it have grown to in three years?Beginning next year, a foundation will supportan annual event on campus with the earnings of a$420,000 gift it received this year. It is felt that 8.4%interest will be realized for the first 12 years, but thatplans should be made to anticipate an interest rate of6% after that time. What amount should be added tothe foundation now to fund the event at the $45,000level into infinity?
- A company buys a piece of equipment for €2 million on January 1. The expected useful life is 6 years and the salvage value is estimated zero. The company intends to replace the equipment identically. The average expected price increase is 8% yearly. For this purpose, the company creates a special fund with annual equal payments at the end of each year during the lifetime. Cost of capital and earnings of the fund (i) is 10% per year. Compute the annual payment into the fund.Recent sales of some real estate and record profits make it possible for a manufacturer to set aside $600,000 in a fund to be used for modernization and remodeling. How much can be withdrawn from this fund at the beginning of each half-year for the next 5 years if the fund earns 7.1%, compounded semiannually?A foundation supports an annual campus seminar by using the earnings of a $50,000 gift. It is felt that 10% interest will be realized for 10 years but that plans should be made to anticipate an interest rate of 6% after that time. What uniform annual payment may be established from the beginning, to fund the seminar at the same level into infinity?
- A humanitarian left in his will a P3,000,000 to be used for founding a perpetual charity. The foundation board of council agreed to budget at least P1,000,000 for the facilities costs (repair and maintenance) every 5 years. If the investment earns 10% every year, how much will be the amount in perpetuity available year end from the grant for charity works?The Nobel Prize Foundation recognizes its achievers by giving the equivalence of $10,000,000.00 every year to all the yearly awardees since the start of the foundation. the compounded rate applicable has always been 12%. To continuously sustain this activity, what do you think was the initial amount of money invested? EXPLAIN FULLY. 30%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?
- A trust will provide $12,000 to a county library at the beginning of each 3-month period for the next 2.5 years. If the money is worth an annual rate of 6.8%, compounded quarterly, find the amount in the trust when it begins. Round your answer to the nearest cent. a. $111,364.28 b. $85,257.67 c. $352,106.39 d. $284,945.37 e. $246,873.08An Engineering Research foundation wishes to set up a trust fund earning 10% compounded annually to provide P 2,613,522 for the lot and building and P 1,443,776 for the initial equipment of a Structural Engineering and Materials Laboratory; pay P 405,996 for the annual operating cost every year; and pay P 528,758 for the purchase of new equipment and replacement of some equipment every 7 years beginning 7 years from now. How much money should be paid into the fund for the building and equipment and to pay for perpetual operation and equipment replacement?The University is given a gift of $500000 for the construction of a School of Management building. The University invests the gift into an account for future use. The University receives 8.00% on the money for 7 years then the rate drops to 6.40%. If the building is constructed 23 years after the gift was received, how much is in the fund at that time? S Do not use dollar signs or commas in your answer. Include two decimals. in your answer.
