From a financial value perspective (and assuming an interest rate of 5%), would you prefer to have $25,000 today or $50,000 in 15 years? O The $25,000 now because it has a higher future value. Indifferent because they are exactly the same OThe $50,000 in 15 years because it has a higher present value The $50,000 in 15 years because it has a lower future value The $25,000 today because it has a lower future value
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- 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.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?
- 1. Suppose that you invest $100. At 3% interest, how long does it take to double your money? To quadruple it?2. Suppose that Anna's college education would cost around $500,000 when they enter college in 15 years. At present, She have $100,000 to invest.What annual interest must she earn on her investment to cover the costTwo 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 determinedSuppose schmidt owns some land and is trying to decide when to sell it for a shopping center development. Her goal is to maximize her net worth, the present value of her other income stream plus the value of the land or the value of investment made with the proceeds of selling the land. The land is now worth $100k if sold. Suppose that the value of the land is expeted to increase at a rate that will slowly decrease over time as she waits. A.) Suppose schmidt expects the land to be worth $104k next year. Should she sell it now? Why? B.) If she expects it to be worth $110k in a year, should she sell now, Why? C.) At what next year land value would Schmidt be indifferent between selling and holding a year?
- 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 nowThe sole proprietor of the FM2 Financial Services, Bondo, receives allaccounting profits earned by her firm and a K28,000-a-year salary she pays herself. Itis noteworthy that she also has a standing salary offer of K35,000 a year if she agreesto work for Bank of Zambia. If she had invested her capital outside her own company,she estimates that would have made a return of K22,000 a year. Further, informationhas reached you that last year, Bondo’s accounting profit was K50,000. Calculate hereconomic profit?The surface area of a certain plant that requires painting is 8 ,000 sq ft. Two kinds of paint are availablewhose brand are J and K .Paint J costs P1.40 per sq.ft but needs renewal at the end of every 4 years while paint K costsP1.8 per square ft. If money is worth 16% effective , how often should paint K be renewed so that it will be aseconomical as paint J? A) 5.6.years C) 3.9 yearsB) 4.2 years D) 5.3 years
- Suppose a bank offers you the following two year, non-cashable GICs (i.e., withdrawals are not allowed). The first one pays a monthly rate of return 0.245%, the second one pays a semi-annual rate of return of 1.47% and the third one a return of 2.75% for the first year and 3.25% for the second year. All interest payments are reinvested.(a) Which investment would you prefer?(b) Suppose you expect that interest rates decline to 3% after the first year. How does your answer change, if the two year GIC pays out the first interest payment (but not the principal) at the end of the first year?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.Let p(t)= t2+1 represents a flow of income over time t from 1 to 4. Compute the Present Value (PV) of this flow if the interest rate is r=2.