4) Nandana invests $500 at the start of each year for 20 years in a bank account paying interest at the effective annual rate i. She takes the interest paid at the end of each year and invests it in a different account paying an effective annual rate i/2. The effective annual rate she earns on her combined investments is 6%.
a) How much money does she have at the end of 20 years? (Total of both accounts.)
b) What is i?
In: Finance
The following information is available about an investment opportunity. Investment will occur at year 0 and sales will occur from year 1 to year 8. Use a nominal discount rate, calculated as in = (1 + ir)(1 + p) – 1, where ir is the real discount rate, and p is expected inflation.
Facts and assumptions
Initial cost $28,000,000
Unit sales $400,000
Selling price per unit, year 1 $60
Variable cost per unit, year 1 $42
Life expectancy (years) 8
Salvage value $0
Depreciation Straight-line
Tax rate 37%
Real discount rate 10.0%
Inflation rate 0.0%
a. Prepare a spreadsheet to estimate the project’s annual after-tax cash flows.
b. Calculate the investment’s internal rate of return and its net present value assuming zero inflation.
c.
How do the internal rate of return and net present value change when you assume an inflation rate of 8 percent per year in price and variable cost per unit?
d. How do you explain the fact that inflation causes the internal rate of return to increase and the NPV to decrease?
e. Does inflation make this investment more attractive or less attractive? Why?
In: Finance
A company purchased an equipment that falls in 3-year property class. The cost of the equipment is 75,000 and installation cost is 5,000. The equipment is expected to have 3,000 salvage value. Using the MACRS depreciation table, calculate the MACRS depreciation charges for the 2nd year.
A.34,650
B.35,100
C.36,000
D.33,750
In: Finance
DataSpan, Inc., automated its plant at the start of the current year and installed a flexible manufacturing system. The company is also evaluating its suppliers and moving toward Lean Production. Many adjustment problems have been encountered, including problems relating to performance measurement. After much study, the company has decided to use the performance measures below, and it has gathered data relating to these measures for the first four months of operations.
| Month | ||||||||
| 1 | 2 | 3 | 4 | |||||
| Throughput time (days) | ? | ? | ? | ? | ||||
| Delivery cycle time (days) | ? | ? | ? | ? | ||||
| Manufacturing cycle efficiency (MCE) | ? | ? | ? | ? | ||||
| Percentage of on-time deliveries | 88 | % | 83 | % | 80 | % | 77 | % |
| Total sales (units) | 2830 | 2709 | 2570 | 2473 | ||||
Management has asked for your help in computing throughput time, delivery cycle time, and MCE. The following average times have been logged over the last four months:
| Average per Month (in days) | |||||||||
| 1 | 2 | 3 | 4 | ||||||
| Move time per unit | 0.9 | 0.6 | 0.7 | 0.7 | |||||
| Process time per unit | 3.8 | 3.6 | 3.4 | 3.2 | |||||
| Wait time per order before start of production | 18.0 | 19.7 | 22.0 | 23.8 | |||||
| Queue time per unit | 4.5 | 5.1 | 5.8 | 6.6 | |||||
| Inspection time per unit | 0.8 | 1.0 | 1.0 | 0.8 | |||||
Required:
1-a. Compute the throughput time for each month.
1-b. Compute the delivery cycle time for each month.
1-c. Compute the manufacturing cycle efficiency (MCE) for each month.
2. Evaluate the company’s performance over the last four months.
3-a. Refer to the move time, process time, and so forth, given for month 4. Assume that in month 5 the move time, process time, and so forth, are the same as in month 4, except that through the use of Lean Production the company is able to completely eliminate the queue time during production. Compute the new throughput time and MCE.
3-b. Refer to the move time, process time, and so forth, given for month 4. Assume in month 6 that the move time, process time, and so forth, are again the same as in month 4, except that the company is able to completely eliminate both the queue time during production and the inspection time. Compute the new throughput time and MCE.
In: Accounting
The mean per capita consumption of milk per year is 132 liters with a variance of 625. If a sample of 196 people is randomly selected, what is the probability that the sample mean would differ from the true mean by more than 5.15 liters? Round your answer to four decimal places.
In: Math
| A corporation issues a 20 year bond with the final redemption value equal to the face value of $1000, and semiannual coupons of 5%. However, the bond is callable at the end of 10 years at $1100, and at the end of 15 years at $1040. What is the price of the bond if the investor’s yield (the “yield-to-worst”) is 3%? |
In: Finance
What is the present value of $907 per year for 9 years if the required return is 6 percent.
In: Accounting
A company is considering a new 6-year project that will have annual sales of $255,000 and costs of $160,000. The project will require fixed assets of $279,000, which will be depreciated on a 5-year MACRS schedule. The annual depreciation percentages are 20.00 percent, 32.00 percent, 19.20 percent, 11.52 percent, 11.52 percent, and 5.76 percent, respectively. The company has a tax rate of 35 percent. What is the operating cash flow for Year 2?
In: Finance
a. A 10-year 5% coupon bond has a yield of 8% and a duration of
7.85 years. If the bond yield increases by 60 basis points, what is
the percentage change in the bond price?
b. Alpha Insurance Company is obligated to make payments of $2
million, $3 million, and $4 million at the end of the next three
years, respectively. The market interest rate is 8% per
annum.
i. Determine the duration of the company’s payment obligations.
ii. Suppose the company’s payment obligations are fully funded and
immunized using both 6-month zero coupon bonds and perpetuities.
Determine how much of each of these bonds the company will hold in
the portfolio.
In: Finance
Compute the interest paid on a 2-year lease for a $27,805 car if the annual rate of depreciation is 13% and the lease's annual interest rate is 4.9%. Round your answer to the nearest dollar.
In: Finance