Answer:
- current market value = $800000, WACC = 7.5%
- new WACC = 7.38%, Total value of firm = $ 813,008.13
- stock price per share = $62.00
- 4750 shares
Explanation:
1) Calculate AJC's current total market value and weighted average cost of capital
current market value = value of equity + value of debt
= ( 10000 * $60 ) + $200000
= $800000
Weighted average cost of capital = ( weight of equity * cost of equity ) + ( weight of debt * cost of debt * ( 1 - tax rate )
= (75% * 8.8% ) + (25% * 6% * 0.6 ) = 7.5%
2) what would be AJC's new WACC and total value
WACC = ( weight of equity * cost of equity ) + ( weight of debt * cost of debt * ( 1 - tax rate )
= ( 60% * 9.5% ) + ( 40% * 7% * 0.6 ) = 7.38%
Total value of the firm =
= ( Cash flow after tax / WACC )
= (( 100000 * ( 1-40%)) / 7.38%
= 100000 * 0.6 / 7.38% = $ 813,008.13
3) Calculate the new stock price per share
new stock price = ( value of equity + change in debt ) / original number of outstanding shares
value of equity = weight of equity * firm value
change in debt =( weight of debt * firm value ) - initial debt value
Hence new stock price =
( 50% *$820000) + (( 50% * $820000)- $200000)) / 10000
= $62.00
4) calculate how many shares AJC would repurchase in the recapitalization
= original shares - Remaining shares
= 10000 - 5250 = 4750 shares
while ;
Remaining shares = value of equity / stock price = $336000 / $64 = 5250
original shares = 10000
