Question

Explain why IOs and POs have opposite sensitivities to the rate of prepayments.

   Explain why IOs and POs have opposite sensitivities to the rate of prepayments.
Options, futures, and other derivatives
Options, futures, and other derivatives
John C. Hull. 8th Edition
Chapter 31, Problem 9 ↓

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- IO securities receive only the interest payments from a pool of mortgages, while PO securities receive only the principal payments. - IO securities benefit from higher interest rates as they receive more interest payments, while PO securities benefit from lower  Show more…

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Explain why IOs and POs have opposite sensitivities to the rate of prepayments.
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Key Concepts

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Prepayment Risk
Prepayment risk is the uncertainty regarding the timing of the return of principal in mortgage-backed securities. When borrowers repay their loans early, it affects the expected cash flow schedules of these securities and introduces variability in returns, making the instruments sensitive to changes in the underlying prepayment rates.
Interest-Only (IO) Securities
Interest-only securities receive payments solely from the interest portion of the underlying loans. When prepayments accelerate, the outstanding principal declines more rapidly, thereby reducing the interest income that can be collected over time. This makes IO securities particularly vulnerable to rising prepayment rates, as their value depends on extended periods of interest accrual.
Principal-Only (PO) Securities
Principal-only securities are designed to receive the principal repayments from a pool of loans without the interest component. Faster prepayment rates accelerate the return of principal to investors, which can be beneficial by shortening the duration and reducing interest rate risk. This feature often causes POs to be favorably impacted by rising prepayment speeds, in contrast to IOs.
Time Value of Money
The time value of money is a core financial concept that underlies the opposite sensitivities of IOs and POs. For IOs, receiving less interest over time because of early prepayments decreases the overall present value of future cash flows. For POs, earlier receipt of principal enhances the present value due to quicker reinvestment opportunities, illustrating how timing differences in cash flows affect the pricing and risk profile of these securities.

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