Question

1. Steve Drake sells a rental house on January 1, 2019, and receives $100,000 cash and a note for $50,000 at 7 percent interest. The purchaser also assumes the mortgage on the property of $25,000. Steve's original cost for the house was $170,000 on January 1, 2011 and accumulated depreciation was $27,000 on the date of sale. He collects only the $100,000 down payment in the year of sale.

   a. If Steve elects to recognize the total gain on the property in the year of sale, calculate the taxable gain.
   $

   b. Assuming Steve uses the installment sale method, complete Form 6252 for the year of the sale.

   If an amount is zero, enter "0". Enter all amounts as positive numbers. Round all decimals to four places and any dollar amount to the nearest dollar.

   Form 6252 Department of the Treasury Internal Revenue Service Installment Sale Income ▶ Attach to your tax return. ▶ Use a separate form for each sale or other disposition of property on the installment method. ▶ Go to www.irs.gov/Form6252 for the latest information. OMB No. 1545-0228 2019 Attachment Sequence No. 79 Name(s) shown on return Steve Drake Identifying number 1 Description of property ▶ Rental Property 2a Date acquired (mm/dd/yyyy) ▶ 01/01/2011 b Date sold (mm/dd/yyyy) ▶ 01/01/2019 3 Was the property sold to a related party (see instructions) after May 14, 1980? If "No," skip line 4 . . . ◻ Yes ☑ No 4 Was the property you sold to a related party a marketable security? If "Yes," complete Part III. If "No," complete Part III for the year of sale and the 2 years after the year of sale . . . . . . . . . . ◻ Yes ◻ No Part I Gross Profit and Contract Price. Complete this part for all years of the installment agreement. 5 Selling price including mortgages and other debts. Don't include interest, whether stated or unstated 5 6 Mortgages, debts, and other liabilities the buyer assumed or took the property subject to (see instructions) . . . . . . . . . . . . . . . . . . . . . . . . . 6 7 Subtract line 6 from line 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 8 Cost or other basis of property sold . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 9 Depreciation allowed or allowable . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 10 Adjusted basis. Subtract line 9 from line 8 . . . . . . . . . . . . . . . . . . . . . . 10 11 Commissions and other expenses of sale . . . . . . . . . . . . . . . . . . . . . . 11 12 Income recapture from Form 4797, Part III (see instructions) . . . . . . . . 12 13 Add lines 10, 11, and 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 14 Subtract line 13 from line 5. If zero or less, don't complete the rest of this form (see instructions) 14 15 If the property described on line 1 above was your main home, enter the amount of your excluded gain (see instructions). Otherwise, enter -0-. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 16 Gross profit. Subtract line 15 from line 14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 17 Subtract line 13 from line 6. If zero or less, enter -0- . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 18 Contract price. Add line 7 and line 17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 Part II Installment Sale Income. Complete this part for all years of the installment agreement. 19 Gross profit percentage (expressed as a decimal amount). Divide line 16 by line 18. (For years after the year of sale, see instructions) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 20 If this is the year of sale, enter the amount from line 17. Otherwise, enter -0- . . . . . . . . . . . . . . . . 20 21 Payments received during year (see instructions). Don't include interest, whether stated or unstated . . 21 22 Add lines 20 and 21 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 23 Payments received in prior years (see instructions). Don't include interest, whether stated or unstated . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 24 Installment sale income. Multiply line 22 by line 19 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 25 Enter the part of line 24 that is ordinary income under the recapture rules (see instructions) . . . . . 25 26 Subtract line 25 from line 24. Enter here and on Schedule D or Form 4797 (see instructions) . . . . . 26 Part III Related Party Installment Sale Income. Don't complete if you received the final payment this tax year. 27 Name, address, and taxpayer identifying number of related party 28 Did the related party resell or dispose of the property ("second disposition") during this tax year? . . . . . . . . . . . . . . . . . ◻ Yes ◻ No 29 If the answer to question 28 is "Yes," complete lines 30 through 37 below unless one of the following conditions is met. Check the box that applies. a ◻ The second disposition was more than 2 years after the first disposition (other than dispositions of marketable securities). If this box is checked, enter the date of disposition (mm/dd/yyyy) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ▶ ___________ b ◻ The first disposition was a sale or exchange of stock to the issuing corporation. c ◻ The second disposition was an involuntary conversion and the threat of conversion occurred after the first disposition. d ◻ The second disposition occurred after the death of the original seller or buyer. e ◻ It can be established to the satisfaction of the IRS that tax avoidance wasn't a principal purpose for either of the dispositions. If this box is checked, attach an explanation (see instructions). 30 Selling price of property sold by related party (see instructions) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 31 Enter contract price from line 18 for year of first sale. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 32 Enter the smaller of line 30 or line 31. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 33 Total payments received by the end of your 2019 tax year (see instructions) . . . . . . . . . . . . . . . . . . . 33 34 Subtract line 33 from line 32. If zero or less, enter -0- . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 35 Multiply line 34 by the gross profit percentage on line 19 for year of first sale . . . . . . . . . . . . . . . . . . . 35 36 Enter the part of line 35 that is ordinary income under the recapture rules (see instructions) . . . . . . . 36 37 Subtract line 36 from line 35. Enter here and on Schedule D or Form 4797 (see instructions) . . . . . . . . 37 For Paperwork Reduction Act Notice, see page 4. Cat. No. 13601R Form 6252 (2019)

   c. Assuming Steve collects $5,000 (not including interest) of the note principal in the year following the year of sale, calculate the amount of income recognized in that year under the installment sale method.

   Round your answer to the nearest dollar.
   $

Answer 1

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