A person wants to deposit an unknown lump-sum amount into an investment opportunity 2 years from now that is large enough to withdraw $4000 per year for state university tuition for 5 years starting 3 years from now. The interest rate is 10%/year. The closest amount of the lump sum is:
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- The annual worth for years 1 through 7 of the cash flows shown is $35,000. What is the amount of x, the cash flow in year 3, at i - 8% per year? Write the basic set up equations, formulae used and all detailed calculations used to arrive your answer. The value or x as per your calculation is_ i= 7% per year 0. 1 4 6. 7 Years 3000 4000 2x 7000 8000 9000A fund is to be donated by wealthy man to provide scholarships to deserving students. The fund will grant Php 6000 for each semiannual of the first five years, Php 9000 for each quarter of the next five years, and P 11000 each month thereafter. The scholarship will start one semiannual after the fund is established. If the fund earns 8% per year compounded bimonthly, what is the amount of the donation? Draw the cash flow diagramTony, Mary, Andy and Jane each have a savings account that yields a 4% interest rate per year. Interest is paid out every December 31st for the money that was in the account December 31st the previous year. (a) On December 31st, 2017, Tony deposits €1000 into his account. To what amount will this deposit have grown by January 1st, 2023? (b) From 2017 on, Mary will deposit €1000 into her account on every last day of the year, for ten years (so her last deposit is on December 31st, 2026). What amount will be in her account on January 1st, 2028? (c) Andy will deposit €1000 into his account on every last day of the year, starting in 2017. He will continue until some January 1st, he has (more than) €25 000 in his account. In which year will this be? (d) On January 1st, 2038, Jane wants to have €20 000 in her account. What is the smallest amount she has to deposit every last day of the year for twenty years, starting on December 31st, 2017 to reach that €20 000?
- r. How much must be deposited at 6% each year inorder to accumulate 500,000.00 on the 6th year ifpayments are made at the (a) end of each year; (b)beginning of each year? Interest is (a) 10% per annum;(b) 1% per month. include a non-excel cash flowMaintenance costs for a regenerative thermal oxidizer have been increasing uniformly for 5 years. If the cost in year 1 was $8000 and it increased by $900 per year through year 5, the present worth of the costs at an interest rate of 10% per year is closest to:a. $31,670b. $33,520c. $34,140d. $36,500An electrical engineer wants to deposit an amount P now such that she can withdraw an equal annual amount of A1 $2000 per year for the first 5 years, starting 1 year after the deposit, and a different annual withdrawal of A2 $3000 per year for the following 3 years. How would the cash flow diagram appear if i 8.5% per year?
- Each year Exxon-Mobil expends large amounts of funds for mechanical safety features throughout its worldwide operations. Carla Ramos, a lead engineer for Mexico and Central American operations, plans expenditures of $1 million now and each of the next 4 years just for the improvement of field-based pressure-release valves. Construct the cash flow diagram to find the equivalent value of these expenditures at the end of year 4, using a cost of capital esti- mate for safety-related funds of 12% per year. i = 12% F = ? -1 3 Year A = $1,000,000 Cash flow diagram.Define the term Annual cash flow analysis?Because testing of nuclear bombs was halted internationally in 1992, the Department of Energy has developed a laser system that allows engineers to simulate (in a laboratory) conditions in a thermonuclear reaction. Due to soaring cost overruns, a congressional committee undertook an investigation and discovered that the estimated development cost of the project increased at an average rate of 2% per month over a 5-year period. If the original cost was estimated to be $2.3 billion 5 years ago, what is the expected cost today?
- Mr. Doe borrowed $1000 from his bank at 8% per year, compounded annually. He can (i) repay the$1000 together with the interest at the end of 3 years, or (ii) pay the interest at the end of each year andrepay the $1000 at the end of 3 years. By how much is (ii) better than (i)?Henry Mueller Supply Co. sells vibration control equipment for wind turbines exposed to harsh environmental factors. Annual cash flows for an 8-year period are shown in the table. Determine the future worth of the cash flows at an interest rate of 7% per year. Year 1 2 4 15 6 17 Revenue, 250 $1000 250 250 250 250 250 250 250 Expenses, 75 $1000 75 75 75 75 75 75 75 The future worth of the cash flows is $ENGINEERING ECONOMICS For a company that uses a year as its interest period,determine the net cash fl ow that will be recorded at the end of the year from the cash flows shown.