Kwantlen Polytechnic University received a semi-annual donation of $50,000 per year for the next fifteen years, with the first payment being received today. Given a discount rate of 5.5% compounding semi-annually, determine the present value of the donation. Select one: a. $529,482 b. $1,012,465 x c. $1,040,308 d. $1,500,000
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- 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?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?K The trustees of a college have accepted a gift of $100,000, but are required to deposit it in an account paying 8% per year, compounded semiannually. They may make equal withdrawals at the end of each six-month period, but the money must last 4 years. Find the amount of each withdrawal. The amount of each (Round your answer t
- An endowment fund is providing an annual scholarship of P50,000 for the first five years, P60,000 for the next five years, and P90,000 thereafter. The fund will be established today and will award the first scholarship after a year. The fund earns 4.5 % annual interest. Find the present worth of this cost. P1,674,819 P1,852,321 P1,458,214 P2,025,241The trustees of a college have accepted a gift of $175,000, but are required to deposit it in an account paying 10% per year, compounded semiannually. They may make equal withdrawals at the end of each six-month period, but the money must last 7 years. (a) Find the amount of each withdrawal. (b) Find the amount of each withdrawal if the money must last 9 years. (a) The amount of each withdrawal is $ (Round your answer to the nearest cent.)u.A fund donated by wealthy person to IECEP to provideannual scholarships to deserving ECE students. Thefund will grant Php 5 000 for each of the first five years,Php 8 000 for the next five years and Php 10 000 foreach year thereafter. The scholarship will start oneyear after the fund is established. If the fund earns 8%interest, what is the amount of the donation? 3. Ifpayments are made at end of the interest period. 4. Ifpayments are made at beginning of the interestperiod. include a cash flow diagra,
- 5A. 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. What uniform annual payment may be established from the beginning to fund the seminar at the same level into infinity? An additional gift of $10000 was received in the agency at the end of 5 years, A i. ii. which they have deposited in the seminar account. What will be the new annual payment starting from 6th year to infinity? (HUM 3051) Page 2 o IIThe Alumni Association of a university desires to award 260000 dollars 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 1,300,000 dollars . The Alumni Association invested this sum at that time at 8% per annum and plans on adding an amount of 12,000 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?(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
- Greendale Community College has established a scholarship that will provide awards at the start of every 6 months for the foreseeable future. To fund these, $1,470,000 is being placed in a trust fund earning 9.0% compounded annually. How much is each scholarship payout? $0.00 Round to the nearest centPerson X donated $ 50 000 to a foundation. This donation is distributed to the needy at the end of each year from the donation fund with an effective annual interest rate of 5%. It is distributed as 2 000 USD at the end of each year for the first 10 years and 3 000 USD in the following times. Payments continue until the fund is reset, but less than 3 000 USD remained in the fund in the last year. Accordingly, how many years have passed until the fund is reset and how much is the remaining money in the fund in the last year? ThanksThe trustees of a college have accepted a gift of $100000, but are required to deposit it in an account paying 8% per year, compounded semiannually. They may make equal withdrawals at the end of each six-month period, but the money must last 4 years. a. Find the amount of each withdrawal. b. Find the amount of each withdrawal if the money must last 7 years.