In: Finance
Quantitative Problem 1: Findley Furniture Company must install $7.0 million of new equipment in one of its plants. It can obtain a bank loan for 100% of the required amount. Alternatively, management believes it can arrange a lease. Assume that the following facts apply:
What is the firm’s cost of owning the equipment? Enter your
answer in thousands. For example, an answer of $1,234,000 should be
entered as 1,234. Do not round intermediate calculations. Round
your answer to the nearest thousand dollars. Enter your answer as a
positive number.
$ thousand
NPV OF BUYING: | |||||||
Annual installments of the loan = 7000*0.11*1.11^5/(1.11^5-1) = | $ 1,894 | ||||||
Interest rate for discounting = 11%*(1-45%) = | 6.05% | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
Beginning balance of loan | $ 7,000 | $ 5,876 | $ 4,628 | $ 3,243 | $ 1,706 | ||
Interest at 11% | $ 770 | $ 646 | $ 509 | $ 357 | $ 188 | ||
Total | $ 7,770 | $ 6,522 | $ 5,137 | $ 3,600 | $ 1,894 | ||
Installment | $ 1,894 | $ 1,894 | $ 1,894 | $ 1,894 | $ 1,894 | ||
Ending balance | $ 5,876 | $ 4,628 | $ 3,243 | $ 1,706 | $ -0 | ||
Depreciation under MACRS | $ 1,400 | $ 2,240 | $ 1,330 | $ 840 | $ 770 | 420 | |
Cash flows of buying: | |||||||
Principal repayment | $ -1,124 | $ -1,248 | $ -1,385 | $ -1,537 | $ -1,706 | -7000 | |
After tax interest [Interest * (1-45%)] | $ -424 | $ -355 | $ -280 | $ -196 | $ -103 | ||
After tax maintenance cost | $ -96 | $ -96 | $ -96 | $ -96 | $ -96 | ||
After tax salvage value [800-(800-420)*45%] | $ 629 | ||||||
Tax shield on depreciation | $ 630 | $ 1,008 | $ 599 | $ 378 | $ 347 | ||
After tax cash flows from buying | $ -1,014 | $ -691 | $ -1,163 | $ -1,452 | $ -930 | ||
PVIF at 6.05% [PVIF = 1/1.0605^t] | 0.94295 | 0.88540 | 0.83136 | 0.78062 | 0.73298 | ||
PV at 9.24% | $ -956 | $ -612 | $ -967 | $ -1,133 | $ -682 | -4350 | |
NPV of buying | $ -4,350 |