Please show how to solve this step by step to answer questions A. B. C. and D.  The Green Bank originates a pool of containing 100 30-year fixed-rate mortgages with loan amount of $250,000 each.  All mortgages in the pool carry a rate of 6.5% with monthly payments. The servicing fee is 0.05% each month. The Green Bank would like to sell the pool to investors via IO/PO Strips. Suppose that they issue 150,000 shares of IO/PO Strips and the market interest rate is 6%. A. Assume that there are no prepayment and no default, how much an investor would like to pay for each share of the IO/PO Strips? B. What is the price of each share of the IO/PO Strips if there are a constant prepayment rate of 1.5% every month and no default? C. What is the price of each share of the IO/PO Strips if there are a constant default rate of 1.5% every month (assuming the recovering rate is 50%) and no prepayment? D. Please explain your findings.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 15P
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Please show how to solve this step by step to answer questions A. B. C. and D. 

The Green Bank originates a pool of containing 100 30-year fixed-rate mortgages with loan amount of $250,000 each.  All mortgages in the pool carry a rate of 6.5% with monthly payments. The servicing fee is 0.05% each month. The Green Bank would like to sell the pool to investors via IO/PO Strips. Suppose that they issue 150,000 shares of IO/PO Strips and the market interest rate is 6%.

A. Assume that there are no prepayment and no default, how much an investor would like to pay for each share of the IO/PO Strips?

B. What is the price of each share of the IO/PO Strips if there are a constant prepayment rate of 1.5% every month and no default?

C. What is the price of each share of the IO/PO Strips if there are a constant default rate of 1.5% every month (assuming the recovering rate is 50%) and no prepayment?

D. Please explain your findings. 

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