Bruins Co. acquired a machine on June 30, 20x1 and gave the seller a $20,000 cash down payment and a two year, $100,000, non-interest bearing note calling for four payments of P&I in the amount of $25,000 each. The payments are to be made semi-annually with the first payment beginning on December 31, 20x1. The prevailing rate of interest was 12% APR.
3% |
6% |
12% |
|
Present Value of Ordinary Annuity of $1 for 4 periods |
3.72 |
3.47 |
3.04 |
Present Value of Ordinary Annuity of $1 for 8 periods |
7.02 |
6.21 |
4.97 |
Bruins uses the straight-line method to depreciate its equipment with a 5-year life and no salvage.
Determine the Book Value of the Equipment as of December 31, 20x1: $___________
Group of answer choices
$96,000
$108,000
$96,075
$85,400
Present value of total cash payment Made on the Acquisition of the Machine
= Down payment + PVA of $1 at 6% for 4 Period
interest rate = 12% Per annum = 12%/2 =6% for Semi-annual Period
Periods =2 years = Semi-annual Periods = 2*2 = 4 periods
PV of Total Cash payments = 20,000+ (25,000*3.47)
= 20,000+86,750
cost of the Machine = 106,750
Book value of the Machine on 31st Dec
annual Depreciation = Cost / Life in years 106,750/5 = 21,350
For 6months = 10,675
Book Value = Cost - Depreciation for six Months
=106,750-10,675
= $96,075
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