89. Sinatra Inc., a privately owned company, has 2015 after-tax earnings of $65 million, which
are expected to grow at 9 % annually into the foreseeable future. The firm is debt-free, capital
spending equals the firm’s rate of depreciation; and the annual change in working capital is
expected to be minimal. The firm’s beta is estimated to be 3.75, the 10-year Treasury bond is
5.5%, and the historical risk premium of stocks over the risk-free rate is 7.5%. Publicly traded
Cole Inc., a direct competitor of Sinatra’s, was sold recently at a purchase price of 7 times its
2015 after-tax earnings, which included a 40 percent premium over its current market price.
Aware of the premium paid for the purchase of Cole, Sinatra’s CFO wanted to estimate the
value of their firm, if they were approached by a possible acquirer. She chose to value the firm
using the discounted cash flow and comparable recent transactions methods. Given the nature
of Sinatra Inc., she expects the recent transactions method to be more accurate in gauging
Sinatra’s current market value, and thus weights it at 75% when arriving at a combined estimate
of the firm value from the two valuation methods used.
a) What is the value of Sinatra (including premium) using the DCF method?
b) What is the value using the comparable recent transactions method?
c) What would be the value of the firm if we combine the results of both methods?
d) What are some possible reasons the CFO places more trust in the comparable transactions
method of valuation?
Answer: