Please show step by step how to solve and all formulas.  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 MPT security. Suppose that they issue 150,000 shares of MPT security and the market interest rate is 6%.   Questions   A. Assume that there are no prepayment and no default, how much an investor would like to pay for each share of the MPT security?   B. What is the price of each share of the MPT 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 MPT if there are a constant default rate of 1.5% every month (assuming the recovering rate is 50%) and no prepayment?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
Question

Please show step by step how to solve and all formulas. 

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 MPT security. Suppose that they issue 150,000 shares of MPT security and the market interest rate is 6%.

 

Questions

 

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

 

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

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