na 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.
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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.)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?
- The Chipotle Mexican Grill In 1993, Steve Ells opened a burrito-and-taco restaurant in a Denver storefront, not far from the University of Denver campus and popular with students. He named it Chipotle Mexican Grill, after the dried pepper common in Mexican cooking. A trained chef and and graduate of the Culinary Institute of America, Steve's idea was for Chipotle to be a cash cow to help him finance a "real" upscale restaurant. Chipotle, however, began branching out: first to several locations in an around Denver, then eventually nationwide. In 1998, McDonald's bought a 91% stake in Chipotle, this was followed by a 2006 initial public offering in which McDonald's retained 69% of the stock and 88% of voting rights. By the end of 2005, there were about 500 Chipotle outlets generating approximately $600 million in sales annually. Currently, about 15,000 people are employed by Chipotle. Steve Ells still serves as the chairman and CEO. What accounts for the success? For starters: a…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?Weismann Company issued 18-year bonds a year ago at a coupon rate of 11 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 10 percent, what is the current bond price?
- Michelle, age 45, currently makes $95,000. Her wage replacement ratio is determined to be 75 percent. She expects that inflation will average 3 percent for her entire life expectancy. She expects to earn 8 percent on her investments and retire at age 65, possibly living to age 95. She has sent for and received her Social Security benefit statement, which indicated that her Social Security retirement benefit in today’s dollars adjusted for early retirement is $20,000 per year. How much capital does Jordan need to retire at age 65?.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?psychic will tell you the sex of the unborn child from any photograph of the mother. Cost is $ 40. If the psychic guesses right he or she is going to keep all the money. But if psychic does not guess right he or she promises to give the $40 back and pay in addition $30 out of her pocket as a compensation for the wrong answer. Assume postage fees for the return mail are zero. Boy Probability is 0.51 and Girl Probability is 0.49. A) Suppose the psychic replies "boy" to all inquiries. In the worst case, everyone who has a girl will ask for her money back. Use the expected value equation to estimate the expected profit per inquiry. B) Suppose that the psychic replies "girl" to all inquiries. What is the expected profit per inquiry? C) Suppose the psychic chooses randomly the sex of the child. For example it may choose "boy" in all inquiries in one day and "girl" in the next day. What is the expected profit per inquiry in this case?
- Ellen is a leading comedian in the USA. A movie producing company and a TV network both want exclusive rights to her latest comedy series. The TV network is willing to pay a single lump sum, but if she signed with the movie company, the sum she receives will depend on how the market responds to her series. The network is willing to pay a flat $900,000-00. The movie company is prepared to pay $200,000-00, $1,001, 000-00, and $3,000,000-00 for a ‘Minimal Hit’, ‘Average Hit’, and ‘Massive Hit’, respectively. The statisticians are forecasting a 30% probability of a minimal hit, 60% for an average hit, and a 10% for massive hit. Required: a) Construct a decision tree of the above situation clearly identifying the decision and chance nodes. b) What are the expected payoffs for each decision and what would be your recommendation to Ellen? c) If Ellen had the relevant information on all the possibilities, what would be her expected payoff? d) What price would you recommend she pays to acquire…Consider two equity market investors. The first investor is a hedge fund manager that relies on very active trading, and borrows from investment banks in order to leverage their investment. Their remuneration depends on total base fee earned by their fund as a percentage of net assets under management, plus a yearly bonus based on returns generated above a hurdle rate. The second investor is a high net-worth individual who is investing for their own retirement, which they anticipate to occur in 10 years or more. Identify three dimensions of risk that are likely to have significantly different impact on thesetwo investors. Explain the nature of the difference. Suggest aspects that each investor might monitor in order to control the risks most relevant to them.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?