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Solution
Using international CAPM and Singer Terhaar approach,
Equity Risk Premium = Correlation with Global Market * Standard Deviation of Asset * Sharpe ratio of the market
Equity Risk Premium (ERP) = Correlation with Global Market * Standard Deviation of Asset *
( Rm - Rf) / Standard deviation of market
For question 2, For full integration,
ERP (full integration) = 0.6 * 20% * (12% - 5%)/15%
= 0.6 * 0.2 * 0.4667 = 0.056 = 5.6%
Thus, cost of capital = Risk free rate + ERP = 5% + 5.6% = 10.6%
For question 2, For full segmentation, correlation with the global market = 1
ERP = Standard Deviation of Asset * (Rm - Rf) / Standard deviation of market
= 20% * (12% - 5%)/15%
= 0.2 * 0.4667
=0.0933 = 9.33%
Thus, cost of capital = Risk free rate + ERP = 5% + 9.33 % = 14.33%
Either 14% to be approximate and None of the above to be precise
Question 4,
Cost of Equity using domestic US BEta of IBM
ke = rf + Beta * (rm - rf) = 6% + 1 * (12%-6%) = 6% + 6% = 12%
Cost of Equity using world Beta of IBM
ke = rf + Beta * (rm - rf) = 6% + 0.8 * (12%-6%) = 6% + 4.8% = 10.8%
Cost of Equity is lower by 12% - 10.8% = 1.2% in absolute terms or 1.2%/12% = 10% in percentage terms
Thus, answer is second option ( 10% lower than if US Markets were segmented)
Kindly reach out in case of any discrepancy
