3. Write your answer to part (b) so that it takes the form of the geometric series: pdv = w,(1+ a + a? +a? +. + a5). ... What is the value of a that you find? 4. Apply the geometric series formula to compute the present discounted value for the case of R = 0.04, R = 0.03, and R= 0.02. What weird thing happens (and why) when R= 0.02? 5. Comment on your results.
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- (Ignore income taxes in this problem.) If an investment of $14,760 now will yield $18,000 at the end of one year, then the internal rate of return for this investment to the nearest whole percentage is: Select one: a. 14% b. 18% c. 22% d. 28%Can you please answer these follow up questions from the above question: d) Suppose the Internal Rate of Return (IRR) of this investment opportunity is 15%. Based on this information alone, should Limitless Ltd. make the investment? Why?Would this decision be consistent with that from B? Explain your reasoning.e) Suppose that, instead of paying the initial £500,000 now, Limitless Ltd. decides to pay it in equal instalments over the next 10 years. How much would the companyneed to pay each year to make all these payments equivalent to £500,000 today?The present worth of income from an investment that follows an arithmetic gradient was projected to be P 475,000. Ifthe income in year one is expected to be P 25,000, how much would the gradient have to be in each year through year 8 if the interest rate is 10% per year?
- Please only answer PART F d) Suppose the Internal Rate of Return (IRR) of this investment opportunity is 15%. Based on this information alone, should Limitless Ltd. make the investment? Why?Would this decision be consistent with that from B? Explain your reasoning.e) Suppose that, instead of paying the initial £500,000 now, Limitless Ltd. decides to pay it in equal instalments over the next 10 years. How much would the companyneed to pay each year to make all these payments equivalent to £500,000 today? f) Now assume that an alternative project would generate immediate (time zero) net profits of £500,000 upfront, but after that, it would result in annual losses of£120,000 over the next five years, and then the annual losses of £60,000 over the following five years. The cost of capital is 12% and the IRR is 15%. Should you start this project? Explain your reasoning. Would you make the same decision based on NPV and IRR? Why?RR is considering a project which would cost $5,000 now. The annual benefits, for four years, would be a fixed income (ie not affected by inflation) of $2,500 a year, plus other savings of $500 a year in year 1, rising by 5% each year because of inflation. Running costs will be $1,000 in the first year, but would increase at 10% each year because of inflating labour costs. The general rate of inflation is expected to be 7½% and the organisation's required money rate of return is 16%. Is the project worthwhile? Ignore taxation. Please show the way you calculated everythingAssume a company is going to make an investment of $300,000 in a machine and the following are the cash flows that two different products would bring in years one through four. The company's required rate of return is 12%. What is the NPV for Option A? What is the NPV for Option B? What is the IRR for Option A? What is the IRR for Option B? PLEASE NOTE #1: The dollar amounts will be with "$" and commas as needed and rounded to two decimal places (i.e. $12,345.67). Round your IRR answers, in percentage format, to two decimal places (i.e. 12.34%). Given the above answers, which project should the company invest in? Project . PLEASE NOTE #2: Your answer is either "A" or "B" - capital letter, no quotes.
- Can you answer these in Excel (and show any calculation formulas). See the attached image for the information. 1. What is the payack period, NPV, IRR? 2. What happens to the NPV and IRR if initial capital goes up 30%? 3. How much would the selling price have to increase to compensate for 30% in capital costs to the original level in 1.? 4. What is your recomendation?Y2 Aportfolio manager states that the return for the period is 5.34 per cent by using the following annual rates of returm Year. Return 1. 6% 2 -37% 3. 27% What type of rate of return (HPR AM or GM) said by the manager and why?An A firm has sales of $10 million, variable costs of $4 million, fixed expenses of $1.5 million, interest costs of $2 million, and a 30 percent average tax rate. a) Compute its DOL, DFL, and DCL. b) What will be the expected level of EBIT and net income if next year's sales rise 10 percent? c) What will be the expected level of EBIT and net income if next year's sales fall 20 percent?
- Your business plan for your proposed start-up firm envisions first-year revenues of $120,000, fixed costs of $30,000, and variable costs equal to one-third of revenue.a. What are expected profits based on these expectations?b. What is the degree of operating leverage based on the estimate of fixed costs and expected profits?c. If sales are 10% below expectation, what will be the decrease in profits?d. Show that the percentage decrease in profits equals DOL times the 10% drop in sales.e. Based on the DOL, what is the largest percentage shortfall in sales relative to original expectations that the firm can sustain before profits turn negative?f. What are break-even sales at this point?g. Confirm that your answer to (f) is correct by calculating profits at the break-even level of sales.Trident Inc.’s current business generates a constant stream of earnings per share of $5 currently, if no new investment is under Suppose the management will retain 40% of its earnings at Year 1, and invest the retained earnings in a project. For each dollar invested, the new investment will generate a return of 30% per year for only the next three years (Year 2, 3, and 4). Then the new project will end. The discount rate is 10%. Calculate the new stock price using the NPVGO model. Suppose you are the company’s CEO, who can change the scale of investment for the new project. How much earnings would you retain and invest at Year 1, if your goal is to maximize all shareholders’ value? Explain.1. You have an opportunity to invest $109,000 now in return for $79,500 in one year and $29,900 in two years. If your cost of capital is 8.8%, what is the NPV of this investment? The NPV will be $__________________(Round to the nearest cent.)