A competitive lender makes loans to a pool of borrowers that are identical. After borrowers have received their loans they choose one of two investment projects. with probability Pg. With probability 1 – Pg, Project G pays a rate of return of -1, the borrower defaults on the loan, and the lender receives Project G pays the borrower a rate of return of r. nothing. Project B pays the borrower a rate of return of rB with probability pp. And with probability 1 – Pb, Project B pays a rate of return of -1, the borrower defaults on the loan, and the lender receives nothing. < rb, Pg > Pb, and P,(1+ rg) > Po(1+ rb). Suppose rg 0.98, pr = 0.4, rp = 0.02, L = 1. We assume as usual that rg 0.10, rb 0.12, Pg %3D The lender can't distinguish between borrower types and so it charges all borrowers the same interest rate rL. The lender lends an amount L and pays interest rp on funds acquired from depositors. Round your answer to at least three decimal places. Suppose that rL 0.15. Compute the collateral to loan ratio c, that ensures that the borrower is indifferent between the projects G and B. Round your answer to at least three decimal places.

Principles of Accounting Volume 2
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Chapter11: Capital Budgeting Decisions
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Problem 16MC: When using the NPV method for a particular investment decision, if the present value of all cash...
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A competitive lender makes loans to a pool of borrowers that are identical. After borrowers
have received their loans they choose one of two investment projects.
with probability Pg. With probability 1 – Pg,
Project G pays a rate of return of -1, the borrower defaults on the loan, and the lender receives
Project G pays the borrower a rate of return of r.
nothing.
Project B pays the borrower a rate of return of rB with probability pp. And with probability 1 –
Pb, Project B pays a rate of return of -1, the borrower defaults on the loan, and the lender
receives nothing.
< rb, Pg > Pb, and P,(1+ rg) > Po(1+ rb). Suppose rg
0.98, pr = 0.4, rp = 0.02, L = 1.
We assume as usual that
rg
0.10, rb
0.12, Pg
%3D
The lender can't distinguish between borrower types and so it charges all borrowers the same
interest rate rL. The lender lends an amount L and pays interest rp on funds acquired from
depositors.
Round your answer to at least three decimal places.
Transcribed Image Text:A competitive lender makes loans to a pool of borrowers that are identical. After borrowers have received their loans they choose one of two investment projects. with probability Pg. With probability 1 – Pg, Project G pays a rate of return of -1, the borrower defaults on the loan, and the lender receives Project G pays the borrower a rate of return of r. nothing. Project B pays the borrower a rate of return of rB with probability pp. And with probability 1 – Pb, Project B pays a rate of return of -1, the borrower defaults on the loan, and the lender receives nothing. < rb, Pg > Pb, and P,(1+ rg) > Po(1+ rb). Suppose rg 0.98, pr = 0.4, rp = 0.02, L = 1. We assume as usual that rg 0.10, rb 0.12, Pg %3D The lender can't distinguish between borrower types and so it charges all borrowers the same interest rate rL. The lender lends an amount L and pays interest rp on funds acquired from depositors. Round your answer to at least three decimal places.
Suppose that rL
0.15. Compute the collateral to loan ratio c, that ensures that the
borrower is indifferent between the projects G and B. Round your answer to at least three
decimal places.
Transcribed Image Text:Suppose that rL 0.15. Compute the collateral to loan ratio c, that ensures that the borrower is indifferent between the projects G and B. Round your answer to at least three decimal places.
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