QUESTION 2 Suppose a University has an endowment of 706 million dollars placed in a bank account earning a real rate of interest (nominal rate of interest - inflation) of 1% per year. What is the maximum amount of annual withdrawal a university can make to sustain the real value of its endowment?
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- 1. A company wants to give an endowment for a college. They wish to give $10,202.41 in perpetuity. What would be the present value if the interest rate is 8.1%? 2. Assume that you currently have $53,296 in the bank. That you are going to receive $619 yearly until the day of your retirement (22 years from now). What is the present value of all these cash flows if the interest rate is 6.84%? 3. Assume that you are going to receive $468 yearly until the day of your retirement (15 years from now). What is the future value (the day of your retirement) of all these cash flows if the interest rate is 8.69%? 4. Assume that you currently have $52,385 in the bank. That you are going to receive $585 four times a year until the day of your retirement (30 years from now). What is the present value of all these cash flows if the interest rate is 6.12%? Give me answer all questions1. A company wants to give an endowment for a college. They wish to give $10,202.41 in perpetuity. What would be the present value if the interest rate is 8.1%? 2. Assume that you currently have $53,296 in the bank. That you are going to receive $619 yearly until the day of your retirement (22 years from now). What is the present value of all these cash flows if the interest rate is 6.84%? 3. Assume that you are going to receive $468 yearly until the day of your retirement (15 years from now). What is the future value (the day of your retirement) of all these cash flows if the interest rate is 8.69%? 4. Assume that you currently have $52,385 in the bank. That you are going to receive $585 four times a year until the day of your retirement (30 years from now). What is the present value of all these cash flows if the interest rate is 6.12%?QUESTION 2 If you planning to invest some funds in the following manner; K20,000 at the end year 1,K30,000 at the end of year 2 and K10,000 at the end of year 3.How much would this account have at the end of year 4 assuming the funds earn interest of 12% compounded per annum You have inherited two endowment funds from your grandfather. One fund will pay K30, 000.00 annually indefinitely, while the other fund will pay K12, 000 annually for 20years.The insurance company has offered to buy this fund from you. Calculate the combined market value on such fund if interest were 18% in the market. An investment company offers an account which requires a one off investment of K18, 000.00 and grows to K237, 870.00 in 12 years time. Find the interest rate that the investment is offering
- 1. A company wants to give an endowment for a college. They wish to give $10,202.41 in perpetuity. What would be the present value if the interest rate is 8.1%?Question 2 Hounslow Youth (HY), a charity organization, would like to create a scholarship fund that will give the local college £50,000 in every two years. However, it turns out that the maintenance of the scholarship fund (banking fees, etc.) will cost the college £1,000 every year. HY plans to make the first payment as soon as possible and the maintenance fees will be paid at the year-ends. The interest rate is 6% APR with annual compounding. a) What is the Effective Semi-annual Rate? b) What is the Net Present Value of the scholarship fund to the local college?PART B Assume that the bank decided to give a loan of $ 59 million to Nivea Corporation (recorded for initial year). Nivea-Corporation invested the amount in a project and generated the following sequence of cash flows over six years: Year Cash Flow ($ million) 0 -59.00 1 4.00 2 5.00 3 6.00 4 7.33 5 8.00 6 8.25 Calculate the Payback period Calculate the Net Present Value (NPV) and the Profitability Index (PI) over the six years. Assume any discount rate This project does not end after the sixth year but instead will generate cash flows far into the future. Estimate the project’s terminal value, assuming that cash flows after year 6 continue at $8.25 per year perpetuity and then recalculate the investment’s NPV. Calculate the terminal value assuming that cash flows after the sixth year grow at 2% annually in perpetuity, and then recalculate the
- A public university system wants to apply the concept of the WACC to developing its interest rate for analyzing capital projects. It has an endowment of $850 million which is earning 6.3% interest. It is paying 4.5% interest on $300 million in bonds. It believes that $120 million in general funds from the taxpayers should be assigned an interest rate of 13% What is the university’s cost of capital? Note that only new bonds or the interest on the endowment is available to fund capital projects.How did you get the 6.14 in your solution to this: A master of accountancy degree at Central University costs $12,000 for an additional fifth year of education beyond the bachelor’s degree. Assume that all tuition is paid at the beginning of the year. A student considering this investment must evaluate the present value of cash flows from possessing a graduate degree versus holding only an undergraduate degree. Assume that the average student with an undergraduate degree is expected to earn a salary of $50,00 per year (assumed to be paid at the end of the year for 10 years. Assume that the average student with a master of accountancy degree is expected to earn a salary of $66,000 per year (assumed to be paid at the end of the year) for nine years after graduation. Assume a minimum rate of return of 10%. Round to the nearest dollar. Determine the net present value of cash flows from an undergraduate degree. Use the present value of an annuity table appearing in Exhibit 5 of this…Please solve #2 and #6 A corporation creates a sinking fund in order to have $860,000 to replace some machinery in 11 years. How much should be placed in this account at the end of each quarterif the annual interest rate is 6.5% compounded quarterly? (Round your answers to the nearest cent.)$ 2. How much interest would they earn over the life of the account?$ Determine the value of the fund after 2, 4, and 6 years. 2 years $ 4 years $ 6 years $ 6. How much interest was earned during the third quarter of the 4th year?$
- 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.An investment project that gives cash flow for the first year $ 10,000 and the second $ 15,000; The interest rate is 8.5%; The present value of the investment is equal to (to the nearest decimal place): Select one: a. $ 25,000 b. $ 21929 c. $ 30,000 d. $ 20,000PART B From Part A above, assume that the bank decided to give a loan of $ 59 million to Nivea Corporation (recorded for initial year). Nivea-Corporation invested the amount in a project and generated the following sequence of cash flows over six years: Year Cash Flow ($ million) 0 -59.00 1 4.00 2 5.00 3 6.00 4 7.33 5 8.00 6 8.25 1.Calculate the terminal value assuming that cash flows after the sixth year grow at 2% annually in perpetuity, and then recalculate the NPV use an interest rate of 10%