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I’m looking at the Wiley book for the FAR exam, module 13C, SIM #1, p.455 for those of you that have it. Something about this problem just seems wrong to me. Either that or I’m going nuts.
The problem states:
Jayson has an overdue N/R from Simpson for $300,000, dated 1/1/1. The annual interest rate is 9%, and interest is paid on 12/31 of each year. Simpson paid the interest on 12/31/1, but did not pay interest on 12/31/2. The current effective rate of interest is 6%. On 1/1/3, Jayson agrees to the following debt restructure:
Reduce the principal to $250,000.
Forgive the accrued interest.
Reduce the interest rate to 6%.
Extend the maturity date to 12/31/5.
Jayson doesn’t use the FV option to report the debt modification.
The problem then asks you to calculate the PV of future cash flows of the restructured note and also for the net carrying amount. Sounds simple enough. PV tables here we come.
Here lies my issue: When they calculate the PV of the new note, they use 3 periods (correct) and then they use the 9% (possibly incorrect?). Why use the 9% when it was the original annual interest rate that was reduced to 6% under the modifications? Isn’t that solely for calculating the interest payments? Isn’t the 6% effective rate supposed to be used for the PV tables, not 9%? BTW, they come up with $231,014 ($37,969 for cash flows and $193,045) for the new carrying amount of the loan.
The solution says:
Prestructured amount $300,000
+ accrued Interest 27,000
=Prerestructured loan CV 327,000
– PV of cash flows 231,015
=Loss $95,985
Am I wrong, or are they wrong? Thanks for any insight!
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