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Determining PB Ratio for Companies with Different Returns Assume that the present value of expected ROPI follows a perpetuity with growth g (Value = Amount/ [r - g])

Business Dec 09, 2021

Determining PB Ratio for Companies with Different Returns

Assume that the present value of expected ROPI follows a perpetuity with growth g (Value = Amount/ [r - g]). Determine the theoretically correct PB ratio for each of the following companies A and B. Note: NOPAT = NOA × RNOA.

Company Net Operating Assets Equity RNOA ROE Weighted Avg. Cost of Capital Growth Rate in ROPI
A $100 $100 18% 18% 10% 2%
B $100 $100 11% 11% 10% 2%

 

Round answers to two decimal places.

  PB Ratio
Company A  
Company B  

 

 

 

Determining PB Ratio for Companies with Different Capitalization

Assume that the present value of expected ROPI follows a perpetuity with growth g (Value = Amount/ [r - g]). Determine the theoretically correct PB ratio for each of the following companies A and B.

 

 

Company

Net

Operating

Assets

 

Debt

(6% Rate)

 

 

Equity

 

 

RNOA

 

 

ROE

Weighted

Avg. Cost

of Capital

 

Growth

Ratein ROPI

A $100 $0 $100 11% 11.0% 10% 0%
B $100 $60 $40 11% 18.5% 10% 0%

 

Round answers to two decimal places.

  PB Ratio
Company A  
Company B  

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