What the implications of the pecking order theory, Corporate Finance

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Question:

i) Show the Modigliani-Miller irrelevancy theorem for corporate capital structure. What assumptions underline the theorem?

ii) What the implications with the existence of bankruptcy costs, corporate and taxes?

iii) Show the departure from Modigliani-Miller proposition using the agency cost and information asymmetry theory of capital structure. Support your answer by empirical evidences.

iv) What the implications of the pecking order theory?

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