Question
You are the manager of a consulting service. You have come across a potential employee that you believe will add value to the firm by
You are the manager of a consulting service. You have come across a potential employee that you believe will add value to the firm by attracting and serving more clients. The firm has given you the flexibility to add this employee to the staff. However, your bonus is based on full absorption after-tax firm performance. You expect the new employee to bring in the following revenues and associated incremental costs:
Year | |||
2021 | 2022 | 2023 | |
Number of "jobs" started | 100 | 125 | 125 |
Number of "jobs" completed | 75 | 100 | 150 |
Variable cost per "job" | $200 | $200 | $200 |
Selling and Administrative costs for the year | $10,000 | $10,000 | $10,000 |
New employee salary (Directly related to "jobs") | $175,000 | $175,000 | $175,000 |
Selling price per "job" | $2,000 | $2,000 | $2,000 |
All costs are applied to the jobs when they are started, but the revenues are not earned (the job is not sold) until the job is complete. Assume that the new employee salary is a direct input for the "jobs", but does not vary with the number of jobs (like a fixed overhead). The consulting service uses full absorption costing for both book and tax purposes. The inventory system is first in first out (FIFO). The discount rate for the firm is 12% and the tax rate is 30%. Assume that all costs (including salary and taxes) are paid in cash at the end of the year in which they occur and the clients pay their fees in cash at the end of the year in which the job is completed. Also, assume that there is no tax paid or tax credit if the reported income is less than 0. When necessary, discount all cash flows to the beginning of the year 2021 (note that all cash paid and received in 2021 must be discounted 1 period, 2022 discounted 2 periods, and 2023 discounted three periods).
(Note: For the questions below, ignore other income sources the firm may have, i.e. only consider the projects described above, facilitated by the new employee. Also, below references to COGM should be interpreted as the costs associated with provision of the core service, i.e. as if this were a manufacturing firm)
The present value of 1$ at the discount rate of 12% is follows:
Period | Present Value of 1$ |
1 | 0.893 |
2 | 0.797 |
3 | 0.712 |
4 | 0.636 |
A) What is the COGM the year 2023?
a. 168,750
b. 195,000
c. 200,000
d. 240,000
B) What is the COGS for the year 2023?
a. 168,750
b. 195,000
c. 200,000
d. 240,000
C) What is the net present value of hiring the new employee over the years 2021 through 2023 from the firms perspective at the beginning of year 2021?
a. (8,778)
b. (6,250)
c. 3,119
d. 43,625
D) Is it in the best interest of the firm to hire the new employee?
a. Yes
b. No
E) What is the net present value of the managers bonuses from hiring the new employee, if the managers yearly bonus is based on 10% of annual profits of the division after tax and the manager is penalized for 10% of any after-tax losses (assume that the manager uses the same discount rate as the firm)?
a. (8,778)
b. (6,250)
c. 3,119
e. 43,625
F) Is it in the direct financial best interest of the manager to hire the new employee?
a. Yes
b. No
G) If the firm only started 100 jobs in 2023, what would be the new net present value of hiring the new employee over the years 2021 through 2023 from the firms perspective at the beginning of year 2021?
H) If the firm only started 100 jobs in 2023, would it be in the best interest of the firm to hire the new employee?
I) If the firm only started 100 jobs in 2023, what would be the new net present value of the manager's bonuses?
J) Would it be in the direct financial interest of the Manager to only start 100 jobs in 2023?
a. Yes
b. No
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