Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of4.47% p.a. compounded half-yearly (2=4.47% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation.(b) Assume that two years after the donation, Mike needs to withdraw $1,000,000 from the fund and use the remaining amount to provide anannual scholarship in perpetuity. The time of the first scholarship will be unchanged (3.5 years after the date of the donation). What is the newannual scholarship amount (rounded to two decimal places)?a. 101959.37O b. 206197.54O c. 203631.53O d. 207511.86

The time value of money states that because of its potential for growth, money has a higher value…

Answered: annual scholarship in perpetuity. The…

Cornerstones of Cost Management (Cornerstones Series)

4th Edition

ISBN:9781305970663

Author:Don R. Hansen, Maryanne M. Mowen

Publisher:Don R. Hansen, Maryanne M. Mowen

Chapter19: Capital Investment

Section: Chapter Questions

Problem 8E

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Minnie owns a qualified annuity that cost 78,000. The annuity is to pay Minnie 650 per month for life after she reaches age 65. Minnie turns 65 on September 28, 2019, and receives her first payment on November 1, 2019. a. How much gross income does Minnie have from the annuity payments she receives in 2019? b. Shortly after receiving her payment on October 1, 2034, Minnie is killed in an automobile accident. How does the executor of Minnies estate account for the annuity on her return for the year 2034? c. Assume that the accident does not occur until November 1, 2043. How does the executor of Minnies estate account for the annuity on her 2043 return?
Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 3.43% p.a. compounded half-yearly (j2=3.43% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (b) Assume that two years after the donation, Mike needs to withdraw $1,000,000 from the fund and use the remaining amount to provide an annual scholarship in perpetuity. The time of the first scholarship will be unchanged (3.5 years after the date of the donation). What is the new annual scholarship amount (rounded to two decimal places)?
Emma wants to donate $1,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of j4=5% p.a. effective and the first scholarship will be first awarded 2.5 years after the date of the donation. (b) Assume that the fund's earnings rate rate has changed from j4=5% to j4=4.75% one year before the first scholarship payment. How much does Emma need to add to the fund at that time (one year before the first scholarship payment) to ensure that scholarship amount will be unchanged (rounded to two decimal places)?
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Mike wants to donate $5, 000, 000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 5.26% p.a. compounded half yearly (j2 = 5.26% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (a) What is the amount of the annual scholarship (rounded to two decimal places)? a.305668.15 b.298960.74 c.303389.92 d.149726.06
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Emma wants to donate $1,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of j4=4.12% p.a. effective and the first scholarship will be first awarded 2.5 years after the date of the donation. (a) What is the amount of the annual scholarship (rounded to two decimal places)? (b) Assume that the fund's earnings rate rate has changed from j4=4.12% to j4 = 3.87% one year before the first scholarship payment. How much does Emma need to add to the fund at that time (one year before the first scholarship payment) to ensure that scholarship amount will be unchanged (rounded to two decimal places)? (a) What is the amount of the annual scholarship (rounded to two decimal places)? a. 44494.20 b. 46355.87 C. 41840.92 d. 43772.21 (b) Assume that the fund's earnings rate rate has changed from 4-4.12% to 4-3.87% one year before the first scholarship payment. How much does Emma need to add to the fund at that time (one year before the first…
Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 4.57% p.a. compounded half-yearly (j2=4.57% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (a) What is the amount of the annual scholarship (rounded to two decimal places)? Question 9 Answer a. 127913.37 b. 255507.69 c. 260410.57 d. 258749.57 Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 4.57% p.a. compounded half-yearly (j2=4.57% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (b) Assume that two years after the donation, Mike needs to withdraw $1,000,000 from the fund and use the remaining amount to provide an annual scholarship in perpetuity. The time of the first scholarship will be unchanged (3.5 years after the date of the donation). What is the new annual…
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annual scholarship in perpetuity. The time of the first scholarship will be unchanged (3.5 years after the date of the donation). What is the new annual scholarship amount (rounded to two decimal places)? a. 101959.37 O b. 206197.54 O c. 203631.53 O d. 207511.86