Consider an MPT that is backed by 100 mortgages with average balance of $450,000 and monthly payment. The MPT has a WAC = 5% and WAM = 60 months. There is no servicing fee on this security. Assuming the prepayment model of CPR=5% and market rate is 3% (annual, investor discount rate), how much should this security sell for? Notes: as payments are monthly remember to convert CPR to SMM (constant for this example) and adjust the discount rate [Recommended to use Excel to derive cashflows each periods and then discount with NPV function]

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Consider an MPT that is backed by 100 mortgages with average balance of $450,000 and monthly payment. The MPT has a WAC = 5% and WAM
= 60 months. There is no servicing fee on this security. Assuming the prepayment model of CPR=5% and market rate is 3% (annual, investor
discount rate), how much should this security sell for?
Notes: as payments are monthly remember to convert CPR to SMM (constant for this example) and adjust the discount rate
[Recommended to use Excel to derive cashflows each periods and then discount with NPV function]
Transcribed Image Text:Consider an MPT that is backed by 100 mortgages with average balance of $450,000 and monthly payment. The MPT has a WAC = 5% and WAM = 60 months. There is no servicing fee on this security. Assuming the prepayment model of CPR=5% and market rate is 3% (annual, investor discount rate), how much should this security sell for? Notes: as payments are monthly remember to convert CPR to SMM (constant for this example) and adjust the discount rate [Recommended to use Excel to derive cashflows each periods and then discount with NPV function]
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