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Shareholders invest $100 in a project with payoffs of $160 and $90 with equal probabilities. Alternatively, the shareholders can borrow $50 (interest-free) and invest $50

Shareholders invest $100 in a project with payoffs of $160 and $90 with equal probabilities. Alternatively, the shareholders can borrow $50 (interest-free) and invest $50 of their own cash in the same project.

How can you demonstrate that levered equity is riskier than the unlevered?

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