In: Accounting
ASC 410 -20 – Asset Retirement Obligations: Problem
Fairfax Inc. is legally responsible for decontamination procedures associated with operating a chemical plant it
acquired on January 1, 2001 for $60,000,000. The acquisition cost was attributed as follows: $54,000,000 for the
plant and $6,000,000 for the land. The future cash flows for decontamination were analyzed and estimated to be
$6,772,780. The credit-adjusted risk-free rate is 5%. The expected useful life of the plant is 25 years. At the end of
its useful life and after decontamination, the plant should be worth $4,000,000 (not including the value of the land).
1. Provide all necessary journal entries for 12/31/2025. Assume that the entity settles its asset retirement obligation by incurring decontamination costs of $7M and disposing the plant and land for $8M. (3 Journal Entries):
To solve this question just input those variables which are to be used in logistic regression, as the question talks about using two variables only that is total loans and leases to total assets & total expenses/ total assets, so we will not input total cap/assets as an input variable in our excel, here we go
As one can see, we have taken only two variables , total exp/assets and total lns & leases/ assets in calculation, follwing steps have been followed to construct the above table
1. Assume logit= b0+ b1* independent variable1+ b2* independent variable 2 , take values of b0=0.1, b1=0.1, b2=0.1, note that these values of b0, b1 and b2 are just taken for calculation, one could assume any values here for bo , b1 and b2
2. Calculate exponential of logit in the next column by using exp (value in previous column)
3. Calculate probability by using formula, probability= exp (logit)/ { 1+ exp(logit)} in the next column
4. In next column, calculate log likelihood by using formula : financial condition value (i.e. 1 or 0) * LN( probability calculated in previous column) + (1- financial condition value)* LN( 1- probability calculated in previous column)
5. take the total of the column values of log likelihood
6. use solver function in excel to change this total by putting max value of 0 and changing the variable cells containing assumed values of b0, b1 and b2 , by clicking on solve, you will get actual values of b0, b1 and b2
which comes out to be b0=-14.72, b1=89.83, b2= 8.37
therefore you will get logit as
-14.72+ 89.83* Total exp/assets+8.37*Total lns & lsses/ assets
With values given in the question as total exp/ assets= 0.11 and total loans & leases/ assets= 0.6 , we get
logit as -14.72+ 89.83* 0.11+ 8.37*0.6= 0.1833
exp (logit) = 1.20
Probability= 0.546
Loglikelihood= 1*LN(0.546)+0*LN(1-0.546)= LN(0.546)= -0.605