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Natasha_Volkova [10]
3 years ago
12

A growing perpetuity is currently valued $6,225.81. The next annuity payment will be $386 and the discount rate is 9 percent. Wh

at is the annuity's rate of growth
Business
1 answer:
viva [34]3 years ago
3 0

Answer:

2.8%

Explanation:

The formula to calculate value of a perpetuity is as follow:

V = Annuity payment in year 1 / (r-g)

V: Value of the perpetuity

r: Discount rate

g: Growth rate (missing value)

By inputting numbers into the formula, we have:

6225.81 = 386 / (0.09 - g)

--> g = 2.8%

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On April 1, 2013, Four Seasons Landscaping, LLC purchased new lawn mowers for $70,000 in cash (total cost). They have a useful l
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Answer:

Please see the calculation explanation below and the depreciation expense chart for all methods is attached.

Explanation:

1. STRAIGHT-LINE DEPRECIATION METHOD:

<em>Depreciation Expense = (Total Cost - Residual Value) / Useful Life </em>

Depreciation Expense = ($70,000 - $10,000) / 3 years

Depreciation Expense = $60,000 / 3 years

Depreciation Expense = $20,000 per year

2. DOUBLE DECLINING BALANCE DEPRECIATION METHOD:

<em>Depreciation Expense Rate = (100% / Useful Life) x 2 </em>

Depreciation Expense Rate = (100% / 3) x 2

Depreciation Expense Rate = 66.67%

<em>2013: </em>

Depreciation Expense = $70,000 x 66.67% = $46,667

<em>2014: </em>

Depreciation Expense = ($70,000 - $46,667) x 66.67% = $15,556

Since the residual value is $10,000 and as per Double Declining Balance Method, the point at which Book Value is equal to the residual value, no depreciation is taken.

<em>Depreciation Expense = (Total Cost - Residual Value) - (Accumulated Depreciation) </em>

Depreciation Expense = ($70,000 - $10,000) - ($46,667)  

Depreciation Expense = $13,333

<em>2015: </em>

No Depreciation Expense for year 3, as Book value is already equal to residual value in year 2.

3. PER HOUR DEPRECIATION METHOD:

<em>2013:</em><em> </em>

<em>Depreciation Cost per hour = (Engine Hours in 2013 / Total Engine Hours) x (Total Cost - Residual Value) </em>

Depreciation Cost per hour = (500 / 1,200) x ($70,000 - $10,000)

Depreciation Cost per hour = $25,000

<em>2014: </em>

<em>Depreciation Cost per hour = (Engine Hours in 2014 / Total Engine Hours) x (Total Cost - Residual Value) </em>

Depreciation Cost per hour = (400 / 1,200) x ($70,000 - $10,000)

Depreciation Cost per hour = $20,000

<em>2015: </em>

<em>Depreciation Cost per hour = (Engine Hours in 2015 / Total Engine Hours) x (Total Cost - Residual Value) </em>

Depreciation Cost per hour = (300 / 1,200) x ($70,000 - $10,000)

Depreciation Cost per hour = $15,000

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Amy and Bill are fixing up their house by painting walls and installing electrical outlets. In one hour, Amy can paint 8 walls,
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Answer:

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