A nation's economy fluctuates instead of growing at a steady pace every year. These fluctuations are generally referred to as the business cycle. Describe the four different phases of the business cycle.
In: Finance
Suppose you plan to retire at age 70, and you want to be able to
withdraw an amount of $87,000 per year on each birthday from age 70
to age 100 (a total of 31 withdrawals). If the account which
contains your savings earns 5.7% per year simple interest, how much
money needs to be in the account by the time you reach your 70th
birthday? (Answer to the nearest dollar.)
Hint: This can be solved as a 30-year ordinary annuity plus one
withdrawal at age 70, or as a 31-year annuity due.
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11-4: Project L costs $40,000, its expected cash inflows are $10,000 per year for 11 years, and its WACC is 9%. What is the project's payback? Round your answer to two decimal places.
11-6: Your division is considering two projects with the following cash flows (in millions):
0 1 2 3
Project A -$17 $8 $8 $3
Project B -$26 $13 $10 $9
What are the projects' NPVs assuming the WACC is 5%? Enter your answer in millions. For example, an answer of $10,550,000 should be entered as 10.55. Negative values, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to two decimal places.
Project A:__ $ million
Project B:__ $ million
What are the projects' NPVs assuming the WACC is 10%? Enter your answer in millions. For example, an answer of $10,550,000 should be entered as 10.55. Negative values, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to two decimal places.
Project A: $__ million
Project B: $__ million
What are the projects' NPVs assuming the WACC is 15%? Enter your answer in millions. For example, an answer of $10,550,000 should be entered as 10.55. Negative values, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to two decimal places.
Project A: $ million
Project B: $ million
What are the projects' IRRs assuming the WACC is 5%? Do not round intermediate calculations. Round your answer to two decimal places.
Project A: %
Project B: %
What are the projects' IRRs assuming the WACC is 10%? Do not round intermediate calculations. Round your answer to two decimal places.
Project A: %
Project B: %
What are the projects' IRRs assuming the WACC is 15%? Do not
round intermediate calculations. Round your answer to two decimal
places.
Project A: %
roject B: %
If the WACC was 5% and A and B were mutually exclusive, which project would you choose? (Hint: The crossover rate is 20.19%.)
If the WACC was 10% and A and B were mutually exclusive, which project would you choose? (Hint: The crossover rate is 20.19%.)
If the WACC was 15% and A and B were mutually exclusive, which project would you choose? (Hint: The crossover rate is 20.19%.)
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Consider the following probability distribution for stocks A and B: State probability return on stock A return on stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% 1)
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You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.97.
| Year | Fund | Market | Risk-Free | |||
| 2011 | –22.40 | % | –42.50 | % | 3 | % |
| 2012 | 25.10 | 21.30 | 5 | |||
| 2013 | 14.20 | 14.80 | 2 | |||
| 2014 | 6.60 | 8.80 | 6 | |||
| 2015 | –2.28 | –5.20 | 3 | |||
Calculate Jensen’s alpha for the fund, as well as its information ratio. (Do not round intermediate calculations. Enter the alpha as a percent rounded to 2 decimal places. Round the ratio to 4 decimal places.)
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Kramer is trying to decide whether or not to refinance his home. He borrowed $400,000 to buy the home 7 years ago. He took out a 30 year mortgage at a rate of 5.5%. He can refinance today with a 30 year loan at a rate of 4%. Closing costs are estimated to be about $6,000. Should Kramer refinance if he expects to be in the house for about one more year? 5 more years? (5 Points) Kramer can also refinance for 15 years at 3%. Should he do this based on the same one and five year criteria? Is there anything else he might want to consider with this option? (5 Points)
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Consider a 30-year mortgage for $345,552 at an annual interest rate of 5.6%. After 13 years, the mortgage is refinanced to an annual interest rate of 3.5%. How much interest is paid on this mortgage?
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Suppose that Coca-Cola is considering a new capital budgeting project. The project will use debt with maturities of 15 years. To determine the cost of debt for the project, an analyst at Coca-Cola looks at currently trading Coca-Cola debt. The analyst is looking at a Coke bond that trades today for $984.00. This bond has an annual coupon rate of 8.00%, face value of $1,000, and will mature in 15 years. The marginal tax rate for Coca-Cola is 38.00%.
What is the after-tax cost of debt for Coca-Cola?
Answer format: Percentage Round to: 2 decimal places (Example: 9.24%, % sign required. Will accept decimal format rounded to 4 decimal places (ex: 0.0924))
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First City Bank pays 6 percent simple interest on its savings account balances, whereas Second City Bank pays 6 percent interest compounded annually. If you made a $69,000 deposit in each bank, how much more money would you earn from your Second City Bank account at the end of 10 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Difference in accounts $
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There’s a fairly new product for retirement mutual funds that target your date of retirement. I’m not sold on the product. I’m 59 years old. Over the last 10 years the Vanguard Index500 fund averaged a 10.49% annual return. The 2025 (retirement target date 6 years from now) retirement fund has averaged a 5.13% over the last 10 years. At age 49 I had $200,000 in retirement funds and for the next 17 years (to age 66) $12,000 per year is invested in the fund. (Assume all monies are invested at the beginning of the year.) Now we don’t know what future returns will be but let’s speculate they both will perform identically to past history. At age 66 (7 years from now) how much will I have in the Index500 fund? How much would I have in the 2025 target fund if I listened to an investment “expert” when I was 49 years old and invested in the retirement target fund? In dollars, how much was the financial mistake investing in the 2025 target fund?
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Consider a 20-year mortgage for $359,670 at an annual interest rate of 4.8%. After 9 years, the mortgage is refinanced to an annual interest rate of 2.1%. What are the monthly payments after refinancing?
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Consider a 30-year mortgage for $345,552 at an annual interest rate of 5.6%. After 13 years, the mortgage is refinanced to an annual interest rate of 3.5%. How much interest is paid on this mortgage?
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Consider a 30-year mortgage for $347,060 at an annual interest rate of 4.7%. What is the remaining balance after 5 years?
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A stock's returns have the following distribution:
| Demand for the Company's Products |
Probability of This Demand Occurring |
Rate of Return If This Demand Occurs |
| Weak | 0.1 | (24%) |
| Below average | 0.2 | (14) |
| Average | 0.3 | 18 |
| Above average | 0.3 | 24 |
| Strong | 0.1 | 52 |
| 1.0 |
Assume the risk-free rate is 2%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places.
Stock's expected return: %
Standard deviation: %
Coefficient of variation:
Sharpe ratio:
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IBM is considering a new expansion project and the finance staff has received information summarized below:
- The project require IBM to purchase $1,000,000 of equipment in 2013 (t=0)
- Inventory will increase by $100,000 and accounts payable will rise by $50,000
- The project will last for four years. The company forecasts that they will sell 1,000,000 units in 2014, 2,000,000 units in 2015, 3,000,000 units in 2016, and 4,000,000 units in 2017. Each unit will sell for $3.00
- The fixed cost of producing the product is $2 million each year
- The variable cost of producing each unit is $1.00 each year
- The equipment will be depreciated under the MACRS system using the applicable rates of 33%, 45%, 15%, and 7% respectively
- When the project is completed in 2017 (t=4), the company expects that it will be able to salvage the equipment for $100,000, and it expects that it will fully recover the NWC.
- The estimated tax rate is 40%
- Based on the perceived risk, the project's WACC is estimated to be 12%
What is the total investment amount at the start of the project?
What is the depreciation amount for each year? Create a depreciation schedule
Compute the book values for each year
Compute the after-tax salvage value
Calculate the net income during the project's life for each year and the Operating Cash Flows
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