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Problem 1. Consider a banking model with delegated monitoring. Markets are perfectly competitive. There is a large number of borrowers who lack the funds and

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Problem 1. Consider a banking model with delegated monitoring. Markets are perfectly competitive. There is a large number of borrowers who lack the funds and a large number of lenders who have the funds. Each lender has k goods to lend. Each borrower can invest in one project which requires uk goods. Assume u >1 so that u lenders to fund one project. Investment return is risky and given by Sriuk prob. = 3 | x2uk prob. = } where x >1 > 22 are the rates of return when project succeeds or fails respectively. The return is private information for the borrower. Other people have to incur a cost a to monitor the outcome from investment. (a) With direct borrowing, what is the average gross rate of return for each lender? Explain. (b) With banking, what is the gross rate of return for each lender? Explain. Problem 1. Consider a banking model with delegated monitoring. Markets are perfectly competitive. There is a large number of borrowers who lack the funds and a large number of lenders who have the funds. Each lender has k goods to lend. Each borrower can invest in one project which requires uk goods. Assume u >1 so that u lenders to fund one project. Investment return is risky and given by Sriuk prob. = 3 | x2uk prob. = } where x >1 > 22 are the rates of return when project succeeds or fails respectively. The return is private information for the borrower. Other people have to incur a cost a to monitor the outcome from investment. (a) With direct borrowing, what is the average gross rate of return for each lender? Explain. (b) With banking, what is the gross rate of return for each lender? Explain

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