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Zinaida [17]
3 years ago
6

Comparing Three Depreciation Methods Dexter Industries purchased packaging equipment on January 8 for $249,400. The equipment wa

s expected to have a useful life of four years, or 8,800 operating hours, and a residual value of $20,600. The equipment was used for 3,080 hours during Year 1, 1,848 hours in Year 2, 2,464 hours in Year 3, and 1,408 hours in Year 4. Required: 1. Determine the amount of depreciation expense for the four years ending December 31 by (a) the straight-line method, (b) the units-of-activity method, and (c) the double-declining-balance method. Also determine the total depreciation expense for the four years by each method. Round the answer for each year to the nearest whole dollar. Depreciation Expense Year Straight-Line Method Units-of-Activity Method Double-Declining- Balance Method Year 1 $fill in the blank 1 $fill in the blank 2 $fill in the blank 3 Year 2 $fill in the blank 4 $fill in the blank 5 $fill in the blank 6 Year 3 $fill in the blank 7 $fill in the blank 8 $fill in the blank 9 Year 4 $fill in the blank 10 $fill in the blank 11 $fill in the blank 12 Total $fill in the blank 13 $fill in the blank 14 $fill in the blank 15 2. What method yields the highest depreciation expense for Year 1
Business
1 answer:
Elena-2011 [213]3 years ago
6 0

Answer:

Straight line :

Depreciation expense each of the four years is $57,200

total depreciation = $228,800

Double declining :

Year 1 = $124,700

Year 2  = $62350

Year 3 = $31,175

Year 4 =  $15,588

Total depreciation expense = $233,813

Activity based depreciation

year 1 =  $80,080

year 2 =  $48,048

year 3 =  $64,064

year 4 = $36,608

Total depreciation expense = $288,800

the deprecation method that yields the highest depreciation expense in year 1 is the double declining method

Explanation:

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

($249,400 - $20,600) / 4 = $57,200

Depreciation expense each of the four years is $57,200

total depreciation = $57,200 x 4 = $228,800

Depreciation expense using the double declining method = Depreciation factor x cost of the asset

Depreciation factor = 2 x (1/useful life) = 2/4

Year 1 = 2/4 x $249,400 = 124,700

book value =  $249,400 - 124,700 = 124,700

Year 2 = 2/4 x 124,700 = 62350

Book value = 124,700 - 62350 =  62350

Year 3 = 2/4 x 62350 = 31,175

book value = 62350 -  31,175 =  31,175

Year 4 = 2/4 x  31,175 = 15,587.50

Addition of the depreciation expenses = $233,812.50

Activity method based on hours worked = (hours worked that year / total hours of the machine) x  (Cost of asset - Salvage value)

($249,400 - $20,600) / 8,800 = 26

year 1 = 26 x 3,080 = $80,080

year 2 = 26 x 1,848 = $48,048

year 3 = 26 x 2,464 = $64,064

year 4 = 26 x 1,408 = $36,608

Addition of the depreciation expenses = $288,800

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3 years ago
A customer sells 1 ABC Jul 90 Put at $5 when the market price of ABC is $89. The market falls to $82 and the customer is exercis
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A $300

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Bond Yields and Rates of Return A 30-year, 10% semiannual coupon bond with a par value of $1,000 may be called in 4 years at a c
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Answer:

The bond's yield to maturity is 9.45% using Excel to get exact values, and 9.59% using approximate method.

Explanation:

We can calculate is using 2 ways, using Excel to get the exact percentage or with approximate methods, calculating the semi-annual Yield to Maturity using the following formula

YTM_{sm} =\cfrac{PMT+\cfrac{FV-PV}n}{\cfrac{FV+PV}2}

And from there we can calculate the Yield to Maturity just by multiplying the semi-annual one by 2.

Identifying the given information.

We have a period of 30 years, so for the semiannual bond we have n=2(30) = 60 periods.

The face value, FV, is $1000, the coupon rate is 0.10, thus we can use them to  find the interest per period PMT.

PMT=0.10 \times \cfrac{1000}{2}\\PMT=\$ 50

The current price of the bond, PV is $1050.

Replacing the values on the semiannual Yield to Maturity

YTM_{sm} =\cfrac{PMT+\cfrac{FV-PV}n}{\cfrac{FV+PV}2}

YTM_{sm}=\cfrac{50+\cfrac{1000-1050}{60}}{\cfrac{1000+1050}{2}}

Simplifying we get

YTM_{sm}=4.797\%\\

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We can just multiply by 2 to get the Yield to Maturity from our previous result and rounding it to 2 decimals we get

YTM = 2 YTM_{sm}\\YTM=9.59\%

Alternatively we can use Excel and write:

RATE(n, PMT, PV, FV)*2

That is

RATE(60,50,1050,1000)*2

And we will get the exact Yield to maturity 9.49%

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