Kara Delaney received a $6,000 gift for graduation from a relative. If she deposits the entire amount in an account paying 2 percent, what will be the value of this gift in 10 years? (Exhibit 1-A, Exhibit 1-B, Exhibit 1-C, Exhibit 1-D)
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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?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. (a) What is the amount of the annual scholarship (rounded to two decimal places)?Linda O’Shay deposited $50,000 in a savings account as a perpetual trust. She believes the account will earn 8% annual interest during the first 10 years and 4% interest thereafter. The trust is to provide a uniform end-of-year scholarship at the university. What uniform amount could be used for the student scholarship each year, beginning at the end of the first year and continuing forever?
- 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…Title Kara Delaney received a $8,000 gift for graduation from her uncle. If she deposits the entire amount Description Kara Delaney received a $8,000 gift for graduation from her uncle. If she deposits the entire amount in an account paying 8 percent, what will be the value of this gift in 10 years? Use Exhibit 1A. (Round time value factor to 3 decimal places and final answer to the nearest whole number)An aunt wants to make a gift of $100,000.00 to their niece's for her college education on her 21st birthday. How much would have been invested on the day of their niece's birth if their investment could earn: a) 9% compounded continuously? $ (Round to 2 decimal places.) b) 9.5% compounded continuously? $ (Round to 2 decimal places.)
- 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 4.93% p.a. compounded half - yearly (j2 = 4.93% 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 9Answer a. 139208.15 b . 283816.22 c. 278013.64 d. 281847.77(b) How much money must LaQuesha donate? 6- Linda O'Shay deposited $50,000 in a savings account as a perpetual trust. She believes the account will earn 8% annual interest during the first 10 years and 4% interest thereafter. The trust is to provide a uniform end-of-year 26 scholarship at the university. What uniform amount could be used for the student scholarship each year, beginning at the end of the first year and continuing forever?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…
- 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)?On the day your daughter is born, you deposit $1,000 in a college savings account that earns 8% compounded annually. On each of her birthdays thereafter, up to and including her 18th birthday, you deposit an additional $1,000. How much money is in the college account the day after her 18th birthday? a. $37,450 b. $38,950 c. $41,450 d. $46,800.A wealthy donor wants to establish a scholarship that pays an award of $1,000 in perpetuity at the end of each year. The first award will be in three years. How much money must she set aside today in order to fund the bursary? Assume that the money will earn a nominal interest rate of 4% compounded annually.