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10063
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Joined: February 11th, 2011, 8:32 am

how to price a FRN portfolio..??

March 8th, 2011, 1:54 pm

Hi All,Valuating a risk-free FRN portfolio should be an easy task. However I am struggling a bit. At coupon payment date the PV of a FRN should equal its nominal value. But I am wondering that shouldn't the value be affected by the reference rate..? I mean that a loan paying 12 month Euribor + 0 bp should be worth more than a loan paying 3 month Euribor + 0 bp due to the 3 vs 12 basis spread. The future payments from a loan paying 12 month euribor will be higher than with the one paying 3 month Euribor... And I am using the same discount curve for both loans.. Have I missed something here...?
 
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DavidJN
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Joined: July 14th, 2002, 3:00 am

how to price a FRN portfolio..??

March 9th, 2011, 1:42 am

Why would you use a discount curve that doesn't reflect the 1s vs 12s basis? Use the correct curve and it will value to par on reset dates.
 
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DavidJN
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how to price a FRN portfolio..??

March 9th, 2011, 1:44 am

Er... make that "the 3s vs 12s basis".
 
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10063
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how to price a FRN portfolio..??

March 9th, 2011, 3:53 pm

DavidJN,That's the problem because i don't see how could I change the discount curve. Why would the discount curve be dependent on the reference rate? If I have a 5 year FRN paying 12m euribor i could do a basis swap to change the cashflow to Euribor 3m + 23bp (current 3 vs 12 spread for 5 years). Thus shouldn't the valution for this FRN at the coupon payment date be: Nominal + PV of 23bps...?