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- Using either the Present Value formaula or the Future Value formula, how do I solve the following problem? Show all work! PV(CF) = CF / (1+r)n FV(CF) = CF * (1+r)n Mr. Johnson wants to buy an annuity due that will provide him with income of $50,000 per year for six years. The going interest rate is 6.25%. How much would it cost him to buy the annuity today? (Draw a timeline and show your work.)You have the opportunity to make an investment that costs $1.000,000. If you make this investment now, you will receive $250,000 one year from today, $200,000, $150,000 and $ 400,000 two and three years from today, respectively. The appropriate discount rate for thisinvestment is 11 percent. .a. Should you make the investment?b. What is the net present value (NPV) of this opportunity?c. If the discount rate is 10 percent, should you invest? Compute the NPV to support youranswer.If you invest $15,000 today, how much will you have in (for further instructions on future value in Excel, see Appendix C): A. 20 years at 22% B. 12 years at 10% C. 5 years at 14% D. 2 years at 7%
- You are considering the purchase of real estate that will provide perpetual income that should average $54,000 per year. How much will you pay for the property if you believe its market risk is the same as the market portfolio’s? The T-bill rate is 6%, and the expected market return is 9.0%. Property Value =Future Value You invest $1,000 today and exect to sell the investment for $2,000 in 10 years. a. Is this a good deal if the investment rate is 6%? b. What if the interest rate is 10%? Why ? Show the calculations in Excel.Suppose initially that two assets, A and B, will each make a single guaranteed payment of $400 in 1 year. But asset A has a current price of $280 while asset B has a current price of $320. Instructions: Round your answers to 2 decimal places. a. What are the rates of return of assets A and B at their current prices? Return on assetA =| |percent Return on asset B = percent Given these rates of return, which asset should investors buy and which asset should they sell? Buy asset (Click to solect) v and sell asset (Click to select) b. Assume that arbitrage continues until A and B have the same expected rate of return. When arbitrage ends, will A and B have the same price? (Click to select) Next, consider another pair of assets, C and D. Asset C will make a single payment of $600 in 1 year, while D will make a single payment of $800 in 1 year. Assume that the current price of C is $440 and that the current price of D is $680. c. What are the rates of return of assets C and D at their…
- Suppose you wish to have $18500 in 5 years. use the present value formula to find out how much you should invest now at 9% interest, compounded semiannually, in order to have $18,500, 5 years from now. Then calculate the interest. The possible answers are: a. 6587.34 b. 8325.00 c. 10175.00 d. 11912.66 I understand how to do the present value formula but after that I don't understand how to calculate the interest, please help!2.52. Suppose you buy a machine and you have the option of paying the full price, $40,000, now; or $10,000 at the end of each of the next five years. What is the cost of capital, or the implied interest rate, for the two methods to be equivalent?You are considering the purchase of real estate that will provide perpetual income that should average $65,000 per year. How much will you pay for the property if you believe its market risk is the same as the market portfolio’s? The T-bill rate is 6%, and the expected market return is 10.0%.
- 2 a) Suppose you receive $10,000 and have an opportunity to earn a real rate of return of 10% (assume known and constant forever). Using the definition of income proposed by John Hicks, what is your annual sustainable income? In other words, what amount can you spend every year forever? b) What is the present value of an annual payment of $10,000 forever, assuming a 5% real discount rate? $9,523.80 $200,000 Infinite $10,000Let the current asset price be 100 dollars and atter time T, the price either goes up to 110 dollars or down to 91 dollars. Suppose the risk-free interest rare is 0.1. Assume a risk-neutral world setting. Calculate the probability of up movement for T = 0.5 years.Q.11: You are considering a one-year investment. If you put up $1,250, you will get back $1,350. What rate is this investment paying?