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Homework answers / question archive / 1) Given the following information, calculate the desired before-tax profit: tax rate 25%; desired after-tax profit $12,000; contribution margin 1 50%

1) Given the following information, calculate the desired before-tax profit: tax rate 25%; desired after-tax profit $12,000; contribution margin 1 50%

Finance

1) Given the following information, calculate the desired before-tax profit: tax rate 25%; desired after-tax profit $12,000; contribution margin 1 50%. 
A $6,000 B. 58,000 C. $12,000 D. 16.000 
 

 

2) 

Johanna made equal payments at the end of each month into her RRSP. If interest in her account is 10.7?% compounded semi-annually?, and the balance after six years is $15,500?,

what is the size of the monthly payment?

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1) 

Computation of Desired Before-tax Profit:

Desired Before-tax Profit = Desired After-tax Profit/(1-Tax Rate)

= $12,000/(1-25%)

= $12,000/75%

Desired Before-tax Profit = $16,000

So, the correct option is D "$16,000".

 

2) 

Computation of Size of Monthly Payment using PMT Function in Excel:

=pmt(rate,nper,-pv,fv)

Here,

PMT = Monthly Payment = ?

Rate = 10.99%/12 = 0.92% compounded monthly

Nper = 6 years * 12 months = 72 months

PV = 0

FV = $15,500

Substituting the values in formula:

=pmt(0.92%,72,0,-15500)

PMT or Monthly Payment = $153.01

 

Workings:

Computation of Effective Annual Rate:

 Effective Annual Rate = (1+i/n)^n -1

= (1+10.7%/2)^2 -1

 Effective Annual Rate = 10.99%

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