You are given an annuity payable continuously at the rate of • $1000 per year while both (40) and (50) are alive • $600 per year while one of (40) and (50) is alive and the other is dead The present value of this annuity is $9400. A second annuity payable continuously at the rate of $1200 per year while either of them is alive has present value $13200. What is the present value of an annuity payable continuously at the rate of $1000 per year while one of (40) and (50) is alive and the other is dead?

You are given an annuity payable continuously at the rate of • $1000 per year while both (40) and (50) are alive • $600 per year while one of (40) and (50) is alive and the other is dead The present value of this annuity is $9400. A second annuity payable continuously at the rate of $1200 per year while either of them is alive has present value $13200. What is the present value of an annuity payable continuously at the rate of $1000 per year while one of (40) and (50) is alive and the other is dead?

ECON MICRO

5th Edition

ISBN:9781337000536

Author:William A. McEachern

Publisher:William A. McEachern

Chapter13: Capital, Interest, Entrepreneurship, And Corporate Finance

Section: Chapter Questions

Problem 4.8P

See similar textbooks

Similar questions

Economics In 54 months time you expect a cash flow of $3 million. Calculate it’s present value (PV) given the 54-month interest rate is currently 4%, with a volatility of 120 basis points (bps). Explain, using equations with properly-defined mathematical notation, how to map this cash flow to vertices at 4 years and 5 years, in such a way that the volatility of the present value of the mapped cash flow remains at 120 bps. Suppose the 4-year rate has a volatility of 110 bps and the 5-year rate has a volatility of 150 bps, and their correlation is 0.9. How much should be mapped to each vertex. Give your answer in PV terms and round your answers to whole $ values.
a) Suppose you put $350 into a bank account today. Interest is paid annually and the annual interest rate is 6 percent. What is the future value of the $350 after 4 years? b) Suppose you are deciding whether to buy a particular bond from your local municipality. If you buy the bond and hold it for 4 years, then at that time you will receive a payment of $10,000. Assume the interest rateis6percent. Underwhatcircumstanceswillyoubuythebond?Meaninguptowhatpriceareyou willing to pay.
6. An investor purchases a 30-year U.S. government bond for $840. The bond’s couponrate is 10 percent and, it still had twelve years remaining until maturity. If the investorholds the bond until it matures and collects the $1000 par value from the Treasuryand his marginal tax rate is 25 percent (we assume that the bond is taxable), what willbe his after-tax (effective) yield to maturity? Make sure to show your work.
2.4 A man wishes to provide a fund for his retirement such that from his 60th to 70th birthdays hewill be able to withdraw equal sums of P18,000 each for his yearly expenses. He investsequal amounts from his 41st to 59th birthdays in a fund earning 10% compounded annually.How much should each of these amounts be?
Two oil wells are for sale. The first will yield payments of $11,400 at the end of each of the next 11 years, while the second will yield $6,100 at the end of each of the next 24 years. Interest rates are assumed to hold steady at 7.9% per year over the next 24 years. Which has the higher present value? the first oil wellthe second oil well they are the samecannot be determined
What is the current net single premium value of the 4-year periodic life annuity with increasing payments for a 30-year-old individual: 30 TL per month for the first year, 40 TL per month for the second year, 50 TL per month for the third year and 60 TL per month for the fourth year? please dont use excel. answer with detail.no discount rate
Suppose Ted deposits $10,000 in a savings plan earning 5% compounded annually and Tess deposits $10,000 ina savings plan earning 10% compounded annually. Both leave their money on deposit for 40 years. Because Tess’srate is twice as great as Ted’s rate, is it true that Tess will earn twice as much interest? Explain why or why not.Then show calculations to prove your point of view. What is the future value for each investment? N i PV PMT FV 5 10
2. For ten years, a man inherited a 100,000 endowment every three months. He may, however, elect to receive a single lump sum payout at the end of the four-year period. If the cost of money is 14.06 percent compounded quarterly, how much is this lump sum?
10. Suppose the interest rate is 5% and that you are to receive three annual payments of $10,000, with the first payment one year from now, the second payment two years from now, and the third payment three years from now. What is the present value of this stream of payments?
An investment will pay $100 at the end of each of the next 3 years, $200 at the end of Year 4, $350 at the end of Year 5, and $600 at the end of Year 6. If other investments of equal risk earn 7% annually, what is its present value? Its future value? Do not round intermediate calculations. Round your answers to the nearest cent.
The Turners have 10 years to save a lump-sum amount for their child’s college education. Today a four-year college education costs $75,000, and this is expected to increase by10%per year into the foreseeable future. a. If the Turners can earn 6% per year on a conservative investment in a highly rated taxfree municipal bond, how much money must they save each year for the next 10 years to afford to send their child to college? b. If a certain college will “freeze” the cost of education in 10 years for a lump-sum of current value $150,000, is this a good deal?
▼ Cash Flow Present Discounted Value Interest Rate is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $3000 is to be paid out a year from today with the interest rate equal to 3% is $enter your response here. (Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $3000 is to be paid then with a corresponding 1% interest rate, the present value of the loan is $enter your response here. (Round your response to the neareast two decimal place)