Answer:
a. Value of operations
Given the dividend discount method, the value is;
= FCF ( 1 + g) / ( WACC - g)
= 50 ( 1 + 5%) / (10% - 5%)
= $1,050 million
b. Intrinsic Value of equity prior to repurchase
= Total value of firm - Debt - Preferred Stock
= ( Value of operations + Short term investment) - Debt - Preferred stock
= ( 1,050 + 86) - 368 - 68
= $700 million
c. Stock price prior to repurchase
= Value of stock/ No. of stock
= 700/20
= $35
d. Stock to be repurchased
= Short term investment / Stock price
= 86,000,000/35
= 2,457,143 shares
Number of stock remaining
= 20,000,000 - 2,457,143
= 17,542,857 shares
e. Intrinsic Value of equity after repurchase
= ( Value of operations + Short term investment) - Debt - Preferred stock
= ( 1,050 + 0) - 368 - 68
= $614 million
Intrinsic stock price
= Value of stock/ No. of stock
= 614,000,000/17,542,857
= $35