LPM’s weighted average cost of capital (WACC) is 13 percent if the firm does not have to issue new common equity; if new common
equity is needed, its WACC is 16 percent. If LPM expects to generate $80,000 in retained earnings this year, which project(s) should be purchased? Assume that the projects are independent and indivisible.
1 answer:
Answer:
Projects D and E should be purchased.
Explanation:
since the firm's capital structure is 60% debt and 40% equity, it can pursue up to 2 projects. Only projects D, E and F have an internal rate of return higher than the company's WACC, so project G is discarded immediately.
Since projects D and E have a higher IRR, they should be selected.
- project D: $70,000, IRR = 18%, debt = $42,000, equity = $28,000
- project E: $85,000, IRR = 15%, debt = $51,000, equity = $34,000
- total equity invested = $62,000
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Answer:
The manufacturer should announce a guaranteed mileage of 44528 miles
Explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What guaranteed mileage should the manufacturer announce
Only until the 5th percentile will have to be replaced, which is the value of X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
The manufacturer should announce a guaranteed mileage of 44528 miles