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?

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?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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3. (15 pts) A permanent scholarship fund has been established through a donation of $500,000 at time zero, $100,000 in year one, $150,000 in year two, and amounts increasing by $50,000 per year through year ten. At an interest rate of 10% per year, the amount that could be withdrawn forever beginning in year 11 is nearest: A) $225,903 B) $385,931 C) $585,931 D) $2,259,000
Explain the Step By Step Process. An engineer wishes to set up a special fund by making uniform semiannual and end-of-period deposits for 20 years. The fund is to provide P100,000 at the end of each of the last five years of the 20-year period. If interest is 8% compounded semiannually, what is the required semiannual deposit to be made? ANS: P6,193.39
Please provide a step-by-step solution. Thanks
You are chairperson of the investment fund for the Continental Soccer League. You are asked to set up a fund of semiannual payments to be compounded semiannually to accumulate a sum of $340,000 after fifteen years at a 12 percent annual rate (30 payments). The first payment into the fund is to take place six months from today, and the last payment is to take place at the end of the fifteenth year. Use Appendix A and Appendix C for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. Determine how much the semiannual payment should be. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Semi-annual payment On the day after the sixth payment is made (the beginning of the fourth year), the interest rate goes up to an annual rate of 14 percent. This new rate applies to the funds that have been accumulated as well as all future payments into the fund. Interest is to be…
(3) Suppose $40,000 was invested on January 1, 1980 at an annual effective in- terest rate of 7% in order to provide an annual (calendar-year) scholarship of $5,000 each year forever, the scholarships paid out each January 1. (b) What smaller scholarship can be awarded the year prior to the first $5,000 scholarship?
How do I do the journal entries for the following? Unrestricted cash contributions of $1,200,000 were received through the local United Way campaign. An additional $140,000 was received in direct cash contributions, of which $20,000 is restricted to the parolees’ program and $50,000 was for the building fund. Documented promises of $60,000 were received, collectible within the next year. These promises are unrestricted and expected to be 85% collectible. Bad debt expense is included with administrative expenses. PLEASE DONT GIVE handwritten ANSWERS THANKU
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? 6.18 Identify three possible difficulties with rate of return analyses compared to PW, AW, or FW analyses.
A school fund establishes that the following deposits must be made: Year 1, $2,000; Year 2, $2,000 + 500; Year 3, $2,000+ (2)500; ; Year 10, $2,000 (9)500. Beginning in the 11th year, the fund will pay a $X scholarship perpetually. Assuming a 10% interest rate. How big can the scholarship payment be? .
The 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.)
Bha
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A government decided to make a 25-year loan on $2,000,000 to a "Toll Road Authority". The first 4 year of the loan period was spent on road construction during which time the government agreed to "capitalize" the interest until the road construction is completed and toll collection has started in the 5th year. $400,000 was expected to be spent at the beginning of the each of the first two years and the rest was also spent equally at the beginning of the 3rd and 4th year. a) What annual payment by the Toll Authority would repay the loan (principal plus interest) over the remaining 21 years at 10% annual compound interest? b) Assume the annual profit (toll collection minus all kinds of cost excluding the loan payment) is $350,000 and the life cycle is 21 year with zero salvage value. What is the IRR of this project? Comment on the economic feasibility when MARR=13%.

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