Deriving CPR from PSA

Hi,

I was wondering if someone could explain this to me from EOC question #6 of Reading 45.

How did CPR of month prior to 30 was derived?

Question:

Month PSA CPR SMM

5 100 .

15 80

Answer:

Month PSA CPR SMM

5 100 0.010 0.000837

15 80 0.024 0.002022

I understand how to derive CPR after 30 month yPSA = 6% x (y/100) = CPR

Then, 1-(1-CPR)^(1/12) to derive SMM.

But, how do we get CPR prior to 30 month?

Thanks in advance.

take the month (t) and divide by 30, then multiply this by 6%. Month 5 = (5/30) x .06 = .01

See page 403 in Book 5 for further explanation.

Great thanks!!!

PSA is just a yardstick (meterstick?) against which you compare CPR.

In month 10, for example, PSA is 2%. If CPR is 5%, then CPR is 5% ÷ 2% = 2.5 = 250% PSA.

In month 15, PSA is 3%, so if they tell you that CPR is 85% PSA, then CPR = 85% × 3% = 2.55%.

disregard comment.