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1 Markets I: The Ecosystem and Exchange-Traded Marketsالأسواق عبر الإنترنت 2 Markets II: Rates, FX and Creditالأسواق عبر الإنترنت 3 Markets III: Commodities, Energy and Cryptoالأسواق عبر الإنترنت 4 Quantitative Methodsالأساليب عبر الإنترنت 5 Derivatives and Volatilityالمشتقات عبر الإنترنت 6 Rates, Credit, XVA and Riskالفائدة والائتمان والمخاطر عبر الإنترنت 7 Research Craft: Predictors, Backtests, Measurement, Portfoliosالبحث عبر الإنترنت 8 Strategies I: Equities and Futuresالاستراتيجيات عبر الإنترنت 9 Strategies II: Volatility, Relative Value, Macro and the Bank Desksالاستراتيجيات عبر الإنترنت 10 Microstructure and Executionالتنفيذ عبر الإنترنت 11 Market Making and High-Frequency Tradingصناعة السوق عبر الإنترنت 12 Machine Learning for Marketsتعلم الآلة عبر الإنترنت 13 Low-Latency Softwareالتكنولوجيا عبر الإنترنت 14 Networks, Hardware and Trading Infrastructureالتكنولوجيا عبر الإنترنت 15 Research, Data and Risk Platformsالتكنولوجيا عبر الإنترنت 16 The Desk and the Firmالشركة عبر الإنترنت 17 The Industry: Firms, Roles and Careersالمسارات المهنية عبر الإنترنت 18 The Interview Bookالمسارات المهنية عبر الإنترنت
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Quantitative Finance · المسرد

ما معنى Prepayment, conditional prepayment rate, PSA benchmark؟

يُعرف أيضًا باسم: prepayment · conditional prepayment rate · PSA benchmark

Definition 12.2 Markets II: Rates, FX and Credit · الفصل 12 — Mortgages and Agencies

A prepayment is a repayment of mortgage principal ahead of the amortisation schedule: a sale of the house, a refinancing, a partial repayment, or a default bought out of the pool by the guarantor. The conditional prepayment rate (CPR) is the annualised fraction of the balance, after scheduled principal, prepaid in a month; the monthly fraction, the single monthly mortality, is SMM=1−(1−CPR)1/12\mathrm{SMM} = 1 - (1-\mathrm{CPR})^{1/12}. The PSA benchmark is a standard speed path: 100% PSA is a CPR of 0.2% in a loan’s first month, rising by 0.2% a month to 6% in its thirtieth and constant after; 200% PSA doubles every rate.

The PSA benchmark: annual prepayment rate by loan age, rising linearly for thirty months and flat after. Speeds are quoted as multiples of this path. Data: the chapter’s tutorial, from the definition in Ginnie Mae’s offering documents.
Figure 12.2. The PSA benchmark: annual prepayment rate by loan age, rising linearly for thirty months and flat after. Speeds are quoted as multiples of this path. Data: the chapter’s tutorial, from the definition in Ginnie Mae’s offering documents.

أمثلة

Example 12.3 (A new pool)

USD 100 million of new thirty-year 6.5% loans back a 6% pass-through. The level monthly payment is USD 632 068; in the first month it contains USD 541 667 of interest and USD 90 401 of scheduled principal, and at 100% PSA (a CPR of 0.2%) USD 16 667 is prepaid. Investors receive USD 500 000 of interest, the 6% coupon, and all USD 107 068 of principal. The weighted average life, the average time to the return of a dollar of principal, is 19.6 years with no prepayment, 11.5 at 100% PSA and 5.8 at 300%.

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