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Colter Steel has \(4,200,000 in assets.

Temporary current assets

\)1,000,000

Permanent current assets

\(2,000,000

Fixed assets

\)1,200,000

Total assets

\(4,200,000

Short-term rates are 8 percent. Long-term rates are 13 percent. Earnings before interest and taxes are \)996,000. The tax rate is 40 percent. If long-term financing is perfectly matched (synchronized) with long-term asset needs, and the same is true of short-term financing, what will earnings after taxes be? For a graphical example of perfectly matched plans, see Figure 6-5.

Short Answer

Expert verified

The earnings after taxes will be $300,000.

Step by step solution

01

Information given in the question 

The following information is provided:

Long-term interest rates = 13%

Short-term interest rates =8%

Earnings before interest and taxes = $996,000

Tax rate = 40%

02

Calculation of long-term financing 

The long-term financing is $3,200,000.

Longtermfinancing=Permanentcurrentasset+Fixedasset=$2,000,000+$1,200,000=$3,200,000

03

Calculation of short-term financing 

The short-term financing is $1,000,000. This is the amount of current temporary assets of the organization.

04

Calculation of interest expense 

The interest expense is $496,000.

Interestexpense=Long-terminterestexpenses+Short-terminterestexpenses=($3,200,000×13%)+($1,000,000×8%)=$416,000+$80,000=$416,000

05

Calculation of earnings after taxes 

The earning after taxes is $300,000.

Earningsaftertaxes=Earningsbeforeinterestandtaxes-Interestexpenses=$996,000-$496,000-$200,000=$300,000

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