You have deposited $10,800 into an account that will earn an interest rate of 8% compounded semiannually. How much will you have in this account at the end of 10 years? $16,564.89 $27,213.75 $23,664.13 $28,396.96
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- A project does not necessarily have a unique IRR. (Refer to the previous problem for more information on IRR.) Show that a project with the following cash flows has two IRRs: year 1, 20; year 2, 82; year 3, 60; year 4, 2. (Note: It can be shown that if the cash flow of a project changes sign only once, the project is guaranteed to have a unique IRR.)It is January 1 of year 0, and Merck is trying to determine whether to continue development of a new drug. The following information is relevant. You can assume that all cash flows occur at the ends of the respective years. Clinical trials (the trials where the drug is tested on humans) are equally likely to be completed in year 1 or 2. There is an 80% chance that clinical trials will succeed. If these trials fail, the FDA will not allow the drug to be marketed. The cost of clinical trials is assumed to follow a triangular distribution with best case 100 million, most likely case 150 million, and worst case 250 million. Clinical trial costs are incurred at the end of the year clinical trials are completed. If clinical trials succeed, the drug will be sold for five years, earning a profit of 6 per unit sold. If clinical trials succeed, a plant will be built during the same year trials are completed. The cost of the plant is assumed to follow a triangular distribution with best case 1 billion, most likely case 1.5 billion, and worst case 2.5 billion. The plant cost will be depreciated on a straight-line basis during the five years of sales. Sales begin the year after successful clinical trials. Of course, if the clinical trials fail, there are no sales. During the first year of sales, Merck believe sales will be between 100 million and 200 million units. Sales of 140 million units are assumed to be three times as likely as sales of 120 million units, and sales of 160 million units are assumed to be twice as likely as sales of 120 million units. Merck assumes that for years 2 to 5 that the drug is on the market, the growth rate will be the same each year. The annual growth in sales will be between 5% and 15%. There is a 25% chance that the annual growth will be 7% or less, a 50% chance that it will be 9% or less, and a 75% chance that it will be 12% or less. Cash flows are discounted 15% per year, and the tax rate is 40%. Use simulation to model Mercks situation. Based on the simulation output, would you recommend that Merck continue developing? Explain your reasoning. What are the three key drivers of the projects NPV? (Hint: The way the uncertainty about the first year sales is stated suggests using the General distribution, implemented with the RISKGENERAL function. Similarly, the way the uncertainty about the annual growth rate is stated suggests using the Cumul distribution, implemented with the RISKCUMUL function. Look these functions up in @RISKs online help.)A 5-year annuity of ten $5,300 semiannual paymentswill begin 9 years from now, with the first payment coming 9.5 years from now. If thediscount rate is 12 percent compounded monthly, what is the value of this annuityfive years from now? What is the value three years from now? What is the currentvalue of the annuity?
- A 15-year annuity pays $1,500 per month, and paymentsare made at the end of each month. If the interest rate is 12 percent compoundedmonthly for the first seven years, and 6 percent compounded monthly thereafter,what is the present value of the annuity?At age 25, Anthony establishes an Individual Retirement Account (IRA). If he invests P10,000 per year for 30 years in an ordinary annuity, the account earns 7.75% per year, how much will he have in the account at age 55?Scenario Your corporation has just approved an 8-year expansion plan to grow its market share. The plan requires an influx of cash in each of the 8 years. Management wants to develop a financial plan to ensure the cash needed for the expansion will be available at the beginning of each of the 8 years. The corporation has the following investment options: Security Price per unit Return Rate (%) Years to Maturity 1 $1,200 10.255 5 2 $1,000 6.7550 6 3 $1,175 12.110 7 Savings Account 5.500 Each unit of security 1, 2, and 3 guarantees to pay $1,000 at maturity. Investments in these securities must take place only at the beginning of year 1 and will be held until maturity. Any funds not invested in securities will be invested in a savings account that pays the annual interest rates noted above. The following table summarizes the cash needs for the expansion plan for each of the 8 years: Year 1 = $250,000 Year 5 = $295,000…
- You are managing a portfolio of $1 million. Your target duration is 11 years, and you can choose from two assets: a zero coupon bond with maturity 5 years, and a perpetuity, the yield is: A. .688 B. .417 C. .583 D. .312The company has issued equity stock priced at $200 each for its 15,000 shares. the company is expected to give $9 as dividend for each share next year and thereafter the company is expected to grow at the rate of 7% in the foreseeable future. What is its equity cost of capital Question 4 options: 11.5% 9.5% 10.5% 12.5%It is important to get the bank to grant you the loan you need. What do you think the bank will consider before granting it if it only had to focus on one thing? Of the three alternatives, which one do you consider to be the most relevant for the bank? a. sales volume b. confirming that the sum of the expected profit after taxes plus depreciation exceeds the annual repayment. c. Ensuring that profit before interest and taxes is approximately 5% of sales
- Ana de la Cruz expects to receive P20,940 at the beginning of each period per year in Social Security payments. Assume that she receives these payments for 28 years and use a rate of 6% per year. Find the present value of her retirement payments.Consider a project with the following cash flows: year 1, 2$400; year 2, $200; year 3, $600; year 4, 2$900; year 5, $1000; year 6, $250; year 7, $230. Assume a discount rate of 15% per year.a. Find the project’s NPV if cash flows occur at the ends of the respective years.b. Find the project’s NPV if cash flows occur at the beginnings of the respective years.c. Find the project’s NPV if cash flows occur at the middles of the respective years.Damon convinced his aunt to lend him $7,400 to purchase a digital TV. He has agreed to charge only 8 percent simple interest, and he has agreed to repay the loan at the end of one year. How much interest will he pay for the year?