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- If Jennifer contributes $500 every quarter into her superannuation fund for the next 45 years, how much will she accumulate assuming she can earn 8% p.a. and the first contribution is made immediately? Select one: a. $858,020.78 b. $652,810.16 c. $90,000.00 d. $875,181.20Emma 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)?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…
- John Rider wants to accumulate $40,000 to be used for his daughter’s college education. He would like to have the amount available on December 31, 2026. Assume that the funds will accumulate in a certificate of deposit paying 8% interest compounded annually. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Answer each of the following independent questions. Required: If John were to deposit a single amount, how much would he have to invest on December 31, 2021? If John were to make five equal deposits on each December 31, beginning a year later, on December 31, 2022, what is the required amount of each deposit? If John were to make five equal deposits on each December 31, beginning now, on December 31, 2021, what is the required amount of each deposit?John Rider wants to accumulate $100,000 to be used for his daughter’s college education. He would like to have the amount available on December 31, 2026. Assume that the funds will accumulate in a certificate of deposit paying 8% interest compounded annually. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)Answer each of the following independent questions. Required:1. If John were to deposit a single amount, how much would he have to invest on December 31, 2021?2. If John were to make five equal deposits on each December 31, beginning a year later, on December 31, 2022, what is the required amount of each deposit?3. If John were to make five equal deposits on each December 31, beginning now, on December 31, 2021, what is the required amount of each deposit?John Rider wants to accumulate $90,000 to be used for his daughter's college education. He would like to have the amount available on December 31, 2026. Assume that the funds will accumulate in a certificate of deposit paying 8% interest compounded annually. (FV of $1. PV of $1. EVA of $1, PVA of $1. FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Answer each of the following independent questions. Required: 1. If John were to deposit a single amount, how much would he have to invest on December 31, 2021? 2. IH John were to make five equal deposits on each December 31, beginning a year later, on December 31, 2022, what is the required amount of each deposit? 3. If John were to make five equal deposits on each December 31, beginning now, on December 31, 2021, what is the required amount of each deposit? (For all requirements, Round your final answers to nearest whole dollar amount.) 1. Amount Annuity amount Annuity amount 2.
- Plz answer Both... Mia received a gift of $8,200 at the time of her high school graduation. She invests it in an account that yields 10% compounded semi-annually. What will the value of Mia’s investment be at the end of 5 years? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.) Multiple Choice $12,300.00 $9,020.00 $13,356.98 $10,250.00 $11,480.00 Maria invests a sum of money today that will yield $14,000 at the end of 6 years. Assuming she can earn an interest rate of 6% compounded annually, how much must she invest today? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.) Multiple Choice $9,870 $13,160 $8,400 $12,328 $11,628Mike 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…By the condition of a will, the sum of $ 2,000 is left to a girl to be held in trust fund by her guardian until it amounts to $ 5,000, when will the girl received the money if the fund is invested at 8% compounded quarterly? engineering econ
- 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)?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. 281847.77Mike 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
