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XYZ, Inc

Finance Mar 12, 2021

XYZ, Inc. has an unlevered beta of 1.0. They are financed with 50% debt and has a levered beta of 1.6. If the risk-free rate is 5.5% and the market risk premium is 6%, how much is the additional premium that XYZ, Inc. shareholders require to be compensated for financial risk?

Expert Solution

Computation of the additional premium:-

Required return with unlevered beta = Risk free rate + (Beta * Market risk premium)

= 5.5% + (1.0 * 6%)

= 5.5% + 6%

= 11.5%

Required return with levered beta = Risk free rate + Beta x market risk premium

= 5.5% + (1.6 * 6%)

= 5.5% + 9.6%

= 15.1%

Additional premium = Required return with levered beta - Required return with unlevered beta

= 15.1% - 11.5%

= 3.6%

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