Calculate the CPR and SMM using the 350% PSA schedule for months t=1 through t=30. Display your results in a table below with four columns labeled, from left to right, t, PSA, CPR, SMM.
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Question 16 A stock currently trades at $52. It is expected that dividends of $1.00/share will be paid to owners of the stock at 1 month and at 4 months from the current date. Consider these dates as ex-dividend dates as well. The continuously compounded risk free rate is 5%. European call and put options on the stock with exercise prices of $50 and 6 months to the expiration date are currently trading. a) Calculate the lower bound for the value of the European call. (1 mark) b) How would you arbitrage if the European call option has a market price (premium) of $1.00? In your answer clearly identify your position in each relevant instrument. (1 mark) c) If the European call option has a market price (premium) of $2.00, based on put-call parity, what should be the price of a European put on the stock with the same exercise price and time to expiration? (1 mark) d) Calculate the lower bound for the value of an American call option on the stock with an exercise price of $50 and a time to expiration of 6 months. (1 mark)
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ABCDEF Corp. currently pays $3.80 in dividend as of this year. ABCDEF’s dividends will grow by 4.1% each year for next 15 years, and then grow by 3.8% each year afterward. What’ the present value of the firm’ tock given this information assuming that the required rate of return for the firm’ industry is 10.1%?
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Bilbo Baggins wants to save money to meet three objectives. First, he would like to be able to retire 30 years from now with a retirement income of $29,000 per month for 20 years, with the first payment received 30 years and 1 month from now. Second, he would like to purchase a cabin in Rivendell in 10 years at an estimated cost of $370,000. Third, after he passes on at the end of the 20 years of withdrawals, he would like to leave an inheritance of $1,250,000 to his nephew Frodo. He can afford to save $3,100 per month for the next 10 years. If he can earn an EAR of 10 percent before he retires and an EAR of 7 percent after he retires, how much will he have to save each month in Years 11 through 30? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
SHOW ALL WORK
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Can you show me how to do this step by step? We are not allowed to use excel. Everything has to be done by hand or with a financial calculator
You are scheduled to receive annual payments of $10,000 for each of the next 25 years. Your discount rate is 8.5%. What is the difference in the present value if you receive these payments at the beginning of each year rather than at the end of each year
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You are a security analyst in ABC Investment Company Limited and are asked to analyse BBA Company, an IT employment agency that supplies computer programmers to financial institutions. BBA’s beta coefficient is 1.2. The risk-free rate is 7% and the expected rate of return on the market is 12%. BBA just paid a dividend of $2.00 each share.
(c) Now, assume that BBA’s dividends are expected to grow at 30% per year for the next 3 years, and then maintain a long-run constant growth rate of 6% per year in the foreseeable future.
(i) What is BBA’s stock price today?
(ii) What are the expected dividend yield and capital gain yield today?
(iii) What are the expected dividend yield and capital gain yield in Year 3?
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Suppose that Ramos contributes $6000/year into a traditional IRA earning interest at the rate of 4%/year compounded annually, every year after age 35 until his retirement at age 65. At the same time, his wife Vanessa deposits $4700/year into a Roth IRA earning interest at the same rate as that of Ramos and also for a period of 30 years. Suppose that the investments of both Ramos and Vanessa are in a marginal tax bracket of 35% at the time of their retirement and that they both wish to withdraw all of the money in their IRAs at that time.
(a) After all due taxes are paid, who will have the larger amount?
RamosVanessa
(b) How much larger will that amount be? (Round your answer to the
nearest cent.)
$
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Discuss the three different ways a financial manager can choose a benchmark. Provide an example for each.
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You are considering expanding your product line that currently consists of skateboards to include gas-powered skateboards, and you feel you can sell 8,000 of these per year for 10 years (after which time this project is expected to shut down with solar-powered skateboards taking over). The gas skateboards would sell for $90 each with variable costs of $45 for each one produced, and annual fixed costs associated with production would be 150,000. In addition, there would be a $1,400,000 initial expenditure associated with the purchase of new production equipment. It is assumed that this initial expenditure will be depreciated using the simplified straight-line method down to zero over 10 years. The project will also require a one-time initial investment of $40,000 in net working capital associated with inventory, and this working capital investment will be recovered when the project is shut down. Finally, assume that the firm's marginal tax rate is 38 percent.
a. What is the initial cash outlay associated with this project?
b. What are the annual net cash flows associated with this project for years 1 through 9?
c. What is the terminal cash flow in year 10 (that is, what is the free cash flow in year
10 plus any additional cash flows associated with termination of theproject)?
d. What is the project's NPV given a required rate of return of 9
percent?
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1.
7-3: Bond Valuation
Problem Walk-Through
Bond valuation
Bond X is noncallable and has 20 years to maturity, a 8% annual coupon, and a $1,000 par value. Your required return on Bond X is 10%; and if you buy it, you plan to hold it for 5 years. You (and the market) have expectations that in 5, years the yield to maturity on a 15-year bond with similar risk will be 12%. How much should you be willing to pay for Bond X today? (Hint: You will need to know how much the bond will be worth at the end of 5 years.) Round your answer to the nearest cent.
$
2.
7-4: Bond Yields
Yield to maturity and yield to call
Kaufman Enterprises has bonds outstanding with a $1,000 face value and 10 years left until maturity. They have an 10% annual coupon payment, and their current price is $1,170. The bonds may be called in 5 years at 109% of face value (Call price = $1,090).
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Kerria Inc. would like to buy $130,000 of new candy-making equipment. However, the company has a major loan maturing in three years and needs this money back at that time to avoid bankruptcy. The candy-making equipment is expected to increase the cash flows by $35,000 in the first year, $40,000 in the second year, and $50,000 a year for the following two years. Should Kerria Inc. buys the equipment at this time? Why or why not?
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yes; because the money will be recovered in two years |
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yes; because the money will be recovered in less than three years |
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yes; because the money will be recovered in one year |
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no; because the money will be recovered in more than three years |
You are considering an investment for which you require a 10 percent rate of return. The investment will cost $55,000 and produce cash inflows of $10,000 a year for 9 years. Should you accept this project based on its internal rate of return? Why or why not?
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no; because the IRR is 9.17 percent |
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yes; because the IRR is 9.17 percent |
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yes; because the IRR is 11.17 percent |
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no; because the IRR is 11.17 percent |
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You must evaluate the purchase of a proposed spectrometer for the R&D department. The base price is $90,000, and it would cost another $13,500 to modify the equipment for special use by the firm. The equipment falls into the MACRS 3-year class and would be sold after 3 years for $27,000. The applicable depreciation rates are 33%, 45%, 15%, and 7%. The equipment would require an $15,000 increase in net operating working capital (spare parts inventory). The project would have no effect on revenues, but it should save the firm $79,000 per year in before-tax labor costs. The firm's marginal federal-plus-state tax rate is 35%.
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Colsen Communications is trying to estimate the first-year net operating cash flow (at Year 1) for a proposed project. The financial staff has collected the following information on the project:
| Sales revenues | $5 million |
| Operating costs (excluding depreciation) | 3.5 million |
| Depreciation | 1 million |
| Interest expense | 1 million |
The company has a 40% tax rate, and its WACC is 13%.
Write out your answers completely. For example, 13 million should be entered as 13,000,000.
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