mortgage IO and PO computer assignment - HW

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St. John's University *

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3388

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Finance

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Jan 9, 2024

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doc

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Fin 668 Financial Derivatives Richard V. Hrvatin, CFA Mortgage IOs and POs 1. Calculate the monthly payment of a $500,000 30-Year fixed-rate mortgage at 6%. Calculate the principal and interest rate components of each monthly payment. *Excel Sheet 2. Calculate the present value (PV) of the interest stream (IO) and principal stream (PO), discounted at the mortgage rate of 6%. - PV=C/r - Excel Sheet 3. Calculate the weighted average (WAL) life of the mortgage? - Excel sheet 4. What would happen if you made one extra payment each year, beginning in the 12 th month? When will the mortgage pay off? What is the new WAL? What if you made two extra payments each year, both beginning in month 12? - 1. It would be paid off in month 297, new wal is 15.37 - 2. It would be paid off in month 254, new wal is 12.89 5. If you assumed one prepayment per year, how much would you pay for the IO? The PO? IO value PO value $ 282,922.14 $ 217,077.86 6. If you purchased the IO and PO in the previous example, and prepayments were more than expected (twice per year instead of once), would your IO gain or lose value? Your PO? What are those values? IO value PO value $ 253,751.30 $ 246,248.70
IO loses value, PO gains value 7. If prepays were less than expected (none instead of once per year), what would happen to your IO and PO values? What are the values? IO value PO value $ 321,700.55 $ 178,299.45 IO gains value, PO loses value 8. In general, why would prepayments increase or decrease? - A decrease in interest rates often leads to an increase in prepayments as borrowers seek to refinance at lower rates. Housing market conditions, such as home value appreciation or depreciation, significantly influence borrower decisions to sell or refinance. Regulatory changes and loan characteristics, including the type of mortgage and the presence of prepayment penalties, further impact prepayment rates. 9. If you thought interest rates would rise, would you rather own IOs or POs? What if you thought interest rates would fall? - Rising Interest Rates: If the expectation is for interest rates to increase, owning IOs is generally preferred. Higher interest rates make borrowers less likely to refinance, resulting in a longer duration of interest payments on IOs. Falling Interest Rates: If the anticipation is for interest rates to fall, owning POs might be more favorable. In a declining rate environment, increased refinancing leads to faster principal repayments on POs, allowing investors to reinvest at lower rates. The choice between IOs and POs depends on the expected direction of interest rates.
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