In Dec 2004, Lenovo acquired all operating assets of IBMs PC division at the price of $1.25 billion. The transaction was completed in friendly terms, including Lenovo agreeing to retain all IBM employees and IBM agreeing to contribute during the post-acquisition transition period. Lenovo assumed that there was zero debt in its valuation of IBMs PC division.

At the time of acquisition, an independent financial analyst from an investment bank made the following projections regarding IBMs PC division, with regards to post-acquisition estimates:

The sales revenue of the IBM PC division independent of the acquisition was expected to grow at 2% in 2005 and be maintained in perpetuity.

The acquisition would bring an additional 1.5% perpetual sales growth due to the synergies from the collaboration between IBM and Lenovo.

The acquisition is expected to reduce 12% of total operating expenses each year.

The gross profit margin (gross profit over sales) will be 12% in 2005.

Operating expenses including tax expense will be 7% of sales.

Residual earnings are expected to grow at 4% in 2005 and in perpetuity.

The PC business has a CAPM beta of 1.1, the risk-free rate is 4.5%, and the market risk premium is 7%. The analyst also estimated the following key financials for IBMs PC division as at Dec 2004:

(i) Revenue during Dec 2003 Dec 2004 = $10,081.69 million,

(ii) working operating capital = $849.62 million,

(iii) non-current operating assets = $3,379.32 million,

(iv) net income = 117.2

Required

(a) Compute the fair price for IBMs PC division at the time of acquisition. Use the residual operating income (ReOI) model. Did Lenovo overpay?

(b) Lenovo paid $1.25 billion as fair price. Suppose Lenovos estimates are consistent to those above. Find the discount rate Lenovo used to value IBMs PC division.

(c) Find the implied growth rate applied by Lenovo assuming that the analysts estimates for the required rate of rate are correct.