A company that manufactures car prakes invested $350 exactly 5 years go in some bonds. If the bonds are ow worth $500, what rate of return er year did the company make on he basis of simple interest?
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- Find the present worth today in real value corresponding to the cur- rent values shown below for a 4 percent ination rate and a 4 percent interest rate. a. $400 three years from now b. $400 three years ago c. $10 next year d. $350 983 in 10 years from now e. £1 one thousand years ago the answer is 292 f. $1 000 000 000 three hundred years from nowTwo 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 determinedEconomics 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.
- 2. Assume a bond with the following characteristics: face value = $1000; maturity = 5 years; N yearly coupon payments = $100. a. If the current price of this bond is $850, state what the formula is to calculate the bond's yield to maturity and state the range of interest rates where the yield to maturity should fall b. If you purchased this bond at face value and held it for 1 year, when you resold it for $850, what is the bond's rate of return?A company invests $6,250 at the beginning ofa seven-year project. At the end of every year forthe first five years, the project generates $1,550. Atthe end of the sixth year, the project generates nomoney. At the end of the seventh year, the project isterminated. How much must the project generate atthe end of the seventh year to realize 14% return onthe initial investment?Compute the rate of return on the $40,000 investment that yields a recurring benefit of $5,000 every other year starting 1 year from now and a benefit of $2,500 every other year starting 2 years from now. (ANS: 9.52%) How to solve this?
- Answer both part 1 &2 i will rate PART A: Ahmed make an annual contribution of $3,000 to his savings account at the end ofeach month for 10 months. If the account earns 7% interest monthly, how much can be atthe end?PART B:Ahmed buy a gold for $2000 and sell it for $2500. it takes 7 years, what would bethe compound annual rate of return on your investment?You can buy a property today for $3 million and sell it in 5 years for $4 million. (You earn no rental income on the property.) a. If the interest rate is 8%, what is the present value of the sales price? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places.) b. Is the property investment attractive to you? c-1. What is the present value of the future cash flows if you also could earn $200,000 per-year rent on the property? The rent is paid at the end of each year. Note: Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places. c-2. Is the property investment attractive to you now?10.You now have $20,000 which can be invested at 9% per year. c.If you borrowed that $20,000 to be paid back over13 years at 9%, what are your annual payments? d.How much must you save per year for 13 years at 9% to accumulate $20,000?
- 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?2. Nathan and Stephanie are saving for their daughter's college education. Their daughter, Paige, is now 8 years old and will be entering college 10 years from now (t = 10). College tuition and expenses at State U. are currently $16,000 a year and are expected to increase at a rate of 4% a year. They expect Paige to graduate in 4 years (if Paige wants to go to graduate school, she's on her own). Tuition and other costs will be due at the beginning of each school year (at t = 10, 11, 12, and 13). So far, Nathan and Stephanie have built up $9,000 in the college savings account. Their long-run financial plan is to contribute $3,000 a year at the beginning of each of the next five years (at t = 0, 1, 2, 3, and 4). Then they plan to make 6 equal annual contributions at the end of each of the following 6 years (t = 5, 6, 7, 8, 9, and 10). Their investment account is expected to earn 8%. How large must the annual payments be in the subsequent 6 years (t = 5, 6, 7, 8, 9, and 10) to meet their…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.