Chapter 14
Question 1
$ billion
Initial estimate
Overseas tax
estimate
Revenues 50 50
Cash on balance sheet 60 60
Cash from overseas 40 40
Tax due – (12)
After-tax amount 60 48
Cash needed for operations 1 1
Excess–cash estimate 59 47
Overseas profit tax rate, % 30.00%
Comment: Initially, one might assume that the balance sheet cash was from domestic profits, which have already had taxes collected.
Thus, the estimates might be $1 billion for cash needed for operations and $59 billion for excess cash and marketable securities.
However, once one realizes that this is largely cash from overseas profits, one would want to discount the cash for the impact of taxes.
The choice of a tax rate is not easy. One might choose bounds between the high of the current top corporate tax rate and the low of
some estimated “tax holiday” rate, as has been done in the past. This would lower the estimated value of the firm.
In the case illustrated in this answer, with a tax rate of 30 percent, the estimated value of the firm comes down by $12 billion.
Chapter 14
Questions 2 & 3 Question 2 Question 3
$ million $ million
Valuation, $ million No sale Sale Nonconsolidated subsidiary Contingent claim
Value of operations 2,500 2,500 Nonconsolidated subsidiary 500 Contingent claim 100
Nonconsolidated subsidiary 100 85 Times: % ownership 20% Times: Probability of occurrence, % 10%
Enterprise value 2,600 2,585 Value to MarineCo 100 Expected claim 10
Unfunded pension liabilities (200) Gain on sale After-tax cash to MarineCo
Contingent claim (7) Market value 100 Expected claim 10
Equity value 2,393 Book value (50) Tax deduction (3)
Gain on sale 50 After-tax expected claim 7
Key data After-tax cash to MarineCo
Marginal tax rate, % 30% Market value 100
Taxes on sale at 30% (15)
After-tax cash to MarineCo 85
Difference in enterprise value
Chapter 14
Question 5
Value of Exercise
outstanding value
$ million options approach Option data Outstanding
Enterprise value 800.0 800.0 European call value, $ 6.67
Employee options: Value (66.7) – Outstanding at end of year, millions 10.00
Employee options: Exercise proceeds – 150.0 Value of options outstanding, $ million 66.7
Equity value 733.3 950.0
Number of shares, millions Option pricing
Number of nondiluted shares 40.0 40.0
New shares issued – 10.0 Stock price inputs Outstanding
Number of diluted shares 40.0 50.0 Underlying asset value, $ 18.33
Standard deviation 10.0%
Value per share, $ 18.33 19.00 Dividend yield –
Option inputs
Strike price, $ 15.00
Comment: Note that the exercise method will understate the value of the options, as it ignores the time value of the options.
Understating the value of the options will overstate the value of the firm’s equity.
Chapter 14
Question 6
Market Conversion
value value
$ million approach approach Option data Outstanding
Enterprise value 10,000 10,000 Convertible bond value, $ 1,150
Convertible debt (115) – Outstanding at end of year 100,000
Value of outstanding convertible debt, $ 115,000,000
Equity value 9,885 10,000
Number of shares, millions
Number of nondiluted shares 500.0 500.0
New shares issued – 0.1
Number of diluted shares 500.0 500.1
Value per share, $ 19.77 20.00
Comment: Note that the conversion method will understate the value of the bond, ignoring the time value of the option feature.
Understating the value of the bonds will overstate the value of the firm‘s equity.