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c) If the wealth of entrepreneurs is distributed following a uniform dis- tribution between 0 and 1. What fraction of entrepreneurs will receive finance?
c) If the wealth of entrepreneurs is distributed following a uniform dis- tribution between 0 and 1. What fraction of entrepreneurs will receive finance? Ph (R-D) > Pi (R-D) + b I - w D = Ph Ap R I - w Ph > b b > Ph - PhR+I In our case we would have b w > Ph PhR+ I = 0,23 d) Assume that there are outside financiers that are specialists and can reduce the private benefits to 0.05 at a cost of 0.1 per project. Which fraction of entrepreneurs will receive finance? Which fraction of them will be receiving at least part of their finance from specialists? Ph (DD) c > p (D-Di) - Di D > I - w Ph C + Di Ap (R- Ap I - w Ph > b' b' > Ph + Ph Ap PhRI=0.1425 Hence 85,75% of entrepreneurs will receive finance and 8,75% from specialists e) Assume that the initial entrepreneur has wealth of 0 private benefits of 0.05 and a senior debt of value 0.35 that cannot be renegotiated. It needs 1 unit from new investors that will be junior debt holders. Will the project be funded? Is there a way in which the project can be funded if the senior debt holders renegotiate the value of their debt? How much is the maximum that the old debt holders receive in expected terms? In this situation we now that the wealth needed if debt can not be renego- tiated is b w > Php - Ph R+I+ phF.where F is the face value. Which in our case does not suffice as 0
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