Question

In: Finance

Your company has been doing​ well, reaching $ 1.18million in​ earnings, and is considering launching a...

Your company has been doing​ well, reaching $ 1.18million in​ earnings, and is considering launching a new product. Designing the new product has already cost $ 549, 000.The company estimates that it will sell 824, 000 units per year for $ 3.06per unit and variable​ non-labor costs will be $ 1.16per unit. Production will end after year 3. New equipment costing $ 1.13million will be required. The equipment will be depreciated using​ 100% bonus depreciation under the 2017 TCJA. You think the equipment will be obsolete at the end of year 3and plan to scrap it. Your current level of working capital is $ 305, 000.The new product will require the working capital to increase to a level of $ 385, 000​ immediately, then to $ 407, 000 in year​ 1, in year 2 the level will be $ 344 comma 000​,and finally in year 3 the level will return to $ 305, 000.Your tax rate is 21 %.The discount rate for this project is 10.1 %.Do the capital budgeting analysis for this project and calculate its NPV.Note​:Assume that the equipment is put into use in year 1.

According to the bonus depreciation​ schedule, depreciation in year 1 will be ​    ​ (Round to the nearest​ dollar.)

Depreciation in years 2 and 3 will be $    ​(Round to the nearest​ dollar.)

Complete the capital budgeting analysis for this project​ below:

The NPV of the project is $

Solutions

Expert Solution

Since the equipment is put to use in Year-1, depreciation using the 100% bonus depreciation will be $1.13 million in Year-1.
In year 2 and 3 depreciation will be 0.


Calculation of Change in Working Capital :

Year 0

Year 1

Year 2

Year 3

Opening Working Capital (a)

305,000

385,000

407,000

344,000

Closing Working Capital (b)

385,000

407,000

344,000

305,000

Increase/(Decrease) in Working Capital (a)-(b)

80,000

22,000

-63,000

-39,000

Calculation of NPV :

PARTICULARS Year 0 1 2 3
INCREMENTAL REVENUES 0.00 2521440.00 2521440.00 2521440.00
INCREMENTAL OPERATING COSTS 0.00 955840.00 955840.00 955840.00
DEPRECIATION 0.00 1130000.00 0.00 0.00
EBIT 0.00 435600.00 1565600.00 1565600.00
INCOME TAX @21% 0.00 91476.00 328776.00 328776.00
UNLEVERED NET INCOME 0.00 344124.00 1236824.00 1236824.00
ADD : DEPRECIATION 0.00 1130000.00 0.00 0.00
LESS : CAPITAL EXPENDITURE 1130000.00 0.00 0.00 0.00
LESS : INCREASE IN NET WORKING CAPITAL 80000.00 22000.00 -63000.00 -39000.00
POUND FREE CASH FLOW -1210000.00 1452124.00 1299824.00 1275824.00
PRESENT VALUE FACTOR @10.1% 1 0.90826521 0.8249457 0.74926948
PRESENT VALUE @10.1% -1210000.00 1318913.71 1072284.22 955935.99
NPV = SUM OF PRESENT VALUE AT EACH YEAR 2137133.92

Since the NPV is positive, the project should be accepted.

Present Value Factor have been calculated as = (1/1+r)n
Where
r= Required rate of Return (Discount rate)
n= No of Periods


NOTE : The company has already incurred $549,000 which is a sunk cost. Hence the same has not been taken in our calculations.


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