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- A $10,000 loan amortized over 5 years at an interest rate of 10% per year requires payments of $2638 to completely remove the loan when interest is charged on the unrecovered balance of the principal. If interest is charged on the original principal instead of the unrecovered balance, what is the loan balance after 5 years, provided the same $2638 payments are made each year?A permanent endowment at a major university is established to award scholarships to engineering students. The scholarships will be awarded 11 years after the $19000000 lump-sum donation is made. If the interest from the endowment is to fund 100 students each year in the amount of $19000 each (for infinite years), what annual rate of return must the endowment fund earn?Self-tightening wedge grips are designed for tensile testing applications up to 1200 pounds. The cash flows associated with the product are available below. Determine the following from these values: net cash flow series, cumulative cash flow series, and i* displayed by the IRR spreadsheet function, if an option for “guess” is not entered. Year 1 2 3 4 Revenue 25,000 13,000 4,000 70,000 Costs −30,000 −7,000 −6,000 −12,000
- Since your first birthday, your grandparents have been depositing $110 into a savings account every month. The account pays 12% interest annually. Immediately after your grandparents make the deposit on your 18th birthday, the amount of money in your savings account will be closest to ________.Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to IE students. She wants the scholarship to provide $10,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $100,000, what rate of return must the university realize in order to award the $10,000 per year scholarship forever?How much must you deposit each year into your retirement account starting now and continuing through year 9, if you want to be able to withdraw $80,000 per year forever, beginning 30 years from now? Assume the account earns interest at (a) the generous rate of 10% per year, and (b) a more conservative rate of 4% per year. Compare the two amounts.
- EncryptCo has two possible plans for accumulating money for capital projects. One plan is to save $100,000 per year, independent of growth. The second plan is to start with $80,000 per year and increase the annual contribution by 5% each year. The money will accumulate interest at 4% nominal annual, compounded quarterly. Which plan will have more money after 10 years?The annual revenues (in $1000 units) associated with several large apartment complexes are $0, $350, $290, $460, $150, and $320 for years 0, 1, 2, 3, 4, and 5, respectively. Determine (1) whether each cash flow series is conventional or nonconventional, (2) the maximum number of real-number roots, and (3) if there is one, positive real-number i* value. The cash flows for years 0, 1, 2, 3, 4, and 5, respectively, are: (a) $−1500, $−90, $−40, $−85, $−60, and $−90 (b) $−1500, $−450, $−300, $−400, $−125, and $−400 (c) $1500, $−450, $−300, $−500, $−200, $−400 (d) $−1500, $−450, $−300, $−400, $−125, and $−310A student plans to deposit P1, 500 in a bank now and another P3, 000 for the next two years. If he plans to withdraw P5, 000 three years after his deposit for the purpose of buying shoes. What will be the amount of money left in the bank one year after his withdrawal? Effective rate is 10%. Include a cash flow diagram on your solution.
- Bob and Mary Johnson are expecting their first child.They have decided to deposit $1000 into a savings account that pays 6% interest compounded annually on the day the child is born. They will then deposit $1000 on each birthday through the child’s 18th birthday. How much money will be in the account on the child’s 19th birthday to finance a college education? (Answer must be: $35,786) Solutions manual only with formula, without using Microsoft Excel.An integrated, combined cycle power plant produces 285 MW of electricity by gasifying coal. The capital investment for the plant is $570 million, spread evenly over two years. The operating life of the plant is expected to be 20 years. Additionally, the plant will operate at full capacity 75% of the time (downtime is 25% of any given year). The MARR is 6% per year Cash flow diagram only Thank you No need calculationA municipal bond with a face value of $10,000 was issued today with an interest rate of 6% per year payable semiannually. The bond matures 20 years from now. If an investor paid $9,000 for the bond and holds it to maturity, all of the following equations will yield the correct semiannual rate of return except: (a) 0 = −9000 + 300(P/A,i*,40) + 10,000(P/F,i*,40) (b) 0 = −9000(F/P,i*,40) + 300(F/A,i*,40) + 10,000 (c) 0 = −9000(A/P,i*,40) + 300 + 10,000(A/F,i*,40) (d) 0 = −9000 + 600(P/A,i*,40) + 10,000(P/F,i*,40)