Installment
Installment
Illustration 1: Computation of GROSS profit rate Divide by: Installment receivable- 1/1x3 320,000 960,000
ABC Co. uses the "installment sales method." On January 1, 20x3 ABC Co.'s records show the Gross profit rate based on sales 22% 24%
following balances:
The gross profit rate based on sales in 20x3 is 25%
Installment receivable- 20x1 320,000 Collections in 20x3 from:
Installment receivable- 20x2 960,000 20x1 sales: (320,000x22%) 70,400
Deferred gross profit – 20x1 70,400 20x2 sales (576,000x24%) 138,240
Deferred gross profit- 20x2 230,400 20x3 sales: (1.8M X 25%) 450,000
Total realized gross profit in 20x3 658,640
On December 31, 20x3, ABC Co.'s records show the following. ======
Installment receivable- 20x1 - Illustration 2: Realized gross profit
Installment receivable- 20x2 384,000
Installment receivable- 20x3 1,200,000 On Dec. 31, 20x3, ABC Co.'s records show the following:
Deferred gross profit –20x1 (before adjustment) 70,400 Deferred gross profit (before year-aid adjustments) 1,050,800
Deferred gross profit-20x2 (before adjustment) 230,400 Installment receivable - 20x2 384,000
Deferred gross profit-20x3 (before adjustment) 750,000 Installment receivable - 20x3 1200,000
Installment sales in 20x3 were made at 33 1/3% above cost. Gross profit rate in 20x2 is 24% based on sales, while gross profit rate in 20x3 is 33 1/3% based on
cost.
Requirements:
a. Compute for the installment sale in 20x3. Requirement: Compute for the realized gross profit in 20x3.
b. Compute for the cash collections in 20x3. Solution:
c. Compute for the total realized gross profit in 20x3. Gross profit rate = Deferred gross profit ÷ Installment account receivable
Solutions: Variation:
Requirement (a): Installment sale in 20x3 Installment account receivable X gross profit rate = DGP
Formula: DGP, beg. — Realized gross profit = DGP, end.
Basic formula: GPR based on sales = Gross profit ÷sales Variation: DGP, beg. — DGP, end. = Realized gross profit
Variation: Sales = Gross profi t÷ GPR based on sales
DGP (before year-end adjustments) 1,050,800
Deferred gross profit- 20x3 (before adjustment) 750,000 LES.' DGP (after year-end adjustments):
Divide by: Gross profit rate based on sales 25% Installment receivable, 20x2 x GPR (384K x 24%) 92,160
Installment sale in 20x3 3,000,000 Installment receivable,20x3 x GPR
[1.2M x (33½ %+ 1331/3%)] or (1.2M x 25%) 300,000 392,160
Requirement b: Cash collections Decrease in DGP - Realized gross profit in 20x3 658,640
Installment receivable – 20x1, Jan. 1, 20x3 320,000
Less: Installment receivable- 20x1, Dec. 31, 20x3 - Illustration 3: Reconstruction of information
Cash collection 20x3 320,000 ABC Co. has the following information:
Installment receivable – 20x2, Jan. 1, 20x3 960,000 20x1 20x2
Less: Installment receivable- 20x2, Dec. 31, 20x3 (384,000) Installment sales ? ?
Cash collection 20x3 576,000 Cost of sales 1,560,000 1,824,000
Sale in 20x3 3,000,000 Installment receivable-20x1 800,000 320,000
Less: Installment receivable-20x1, Dec. 31, 20x3 (1,200,000) Installment receivable-20x2 960,000
Cash collection in 20x3 1,800,000 Gross profit rates based on sales 22% 24%
Total collections 2,696,000
Requirement: Compute for the total realized gross profit in 20x2.
Requirement c: Total realized gross profit Collections in 20x2 from:
20x1 sales: (480,000 X 22%) 105,600
Gross profit rate = Deferred gross profit÷ installment account receivable 20x2 sales: (1,440,000 x 24%) 345,600
20x1 20x2 Total realized gross profit in 20x2 451, 200
Installment sale-20x1 2,000,000
Illustration 4: Reconstruction of information Cash collections (1,200,000 add 480,000) (1,680,000)
ABC Co.'s records show the following information Installment Receivable-20x1, Dec. 31, 20x2 320,000
20x1 20x2 Multiply by: Gross profit rate in 20x1 22%
Deferred gross profit (adjusted ending balances): Deferred gross profit-20x1, dec. 31, 20x2 70,400
176,000 70,400
from 20x1 sale Installment sale-20x2 2,400,000
230,400 Cash collections (1,440,000)
from 20x2 sale 22% 24% Installment receivable-20x2 Dec. 31, 20x2 960,000
Gross profit rates based on sales Multiply by: Gross profit rate in 20x2 24%
Cash collections from: Deferred gross profit-20x2 Dec. 31, 20x2 230,400
20x1 sales Total deferred gross profit- Dec. 31, 20x2 300,800
1,200,000 480,000
=======
20x2 sales 1,440,000
Illustration 6: Cash collection
ABC Co. has the following collection policy on its installment sales:
Requirements: Compute for the following”
• 20% down payment
a. Balances of installment receivables on December 31, 20x2.
• Balance due as follows: 50% in the year of sale, 30% in the second year, and 20% in the third
b. Installment sales in 20x1 and 20x2.
year.
Solutions: • Installment sales during 20x1, 20x2 and 20x3 were P2,000,000, P2,400,000, and P3,000,000
Formula: Gross profit rate = Deferred gross profit ÷ Installment account receivable respectively.
Installment account receivable • Gross profit rates based on sales in 20x1, 20x2 and 20x3 were 22%, 24% and 25%, respectively.
Variation: Installment account receivable = DGP ÷ Gross profit rate Requirement: Compute for the total realized gross profits in each of years 20x1, 20x2 and 20x3.
Deferred gross profit - 20x1 sale, Dec. 31, 20x2 70,400 Solution:
Divide by: Gross profit rate in 20x1 22% 20x1 20x2 20x3
Installment receivable - 20x1, Dec. 31, 20x2 — Reqt. (a) 320,000 20x1 sales:
Add back: Collections (1,200,000 in 20x1 + 480,000 in 20x2) 1,680,000 Downpayment (2Mx20%)X 22% 88,000
Installment sale - 20x1 — Requirement (b) 2,000,000 20x1: [(2Mx80%) x 50%]x22% 176,000
20x2: [(2Mx80%) x 30%]x22% 105,600
Deferred gross profit - 20x2 sale, Dec. 31, 230,400 20x3: [(2Mx80%) x 20%]x22% 70,400
Divide by: Gross profit rate in 20x2 24% 20x2 sales:
Installment receivable - 20x2, Dec, 31, 20x2 — Reqt.(a) 960,000 Downpayment (2.4Mx20%)X 24% 115,200
Add back: Collections from 20x2 sales 1,440,000 20x1: [(2.4Mx80%) x 50%]x24% 230,400
Installment sale-20x2-Requirement b 2,400,000 20x2: [(2.4Mx80%) x 30%]x24% 138,240
20x3 sales:
Illustration 5: Deferred gross profit Downpayment (3Mx20%)X 25% 150,000
ABC Co.'s records show the following: 20x1: [(3Mx80%) x 50%]x25% 300,000
20x1 20X2 Realized gross profit 264,000 451,200 658,640
Installment sales 2,000,000 2,400,000
Cost of sales 1,560,000 1,824,000 Illustration 7: Reconstruction of information
Cash collections from: ABC Co’s incomplete records show the following:
20x1 sales 1,200,000 480,000
20x2 sales 1,440,000 20x1 20x2 20x3
Installment sales 2,000,000 2,400,000 ?
Requirement: Compute for the total deferred gross profit on Dec. 31, 20x2 Cost of sales ? ? 2,250,000
Gross profit ? ? ?
Solution: Gross profit rates ? ? 25%
Formula: Gross profit rate = Deferred gross profit ÷ Installment account receivable Collections
Variation: Installment account receivable X gross profit rate = DGP From 20x1 sales 1,200,000 480,000 320,000
Gross profit rate in 20x1: I(2M -1.56M) ÷ 2M] 22% From 20x2 sales 1,440,000 576,000
Gross profit rate in 20x2: [(2.4M-1.824M) ÷ 2.4M] 24% From 20x3 sales 1,800,000
Realized gross profit 264,000 ? 658,640 Gross profit rate on the sale 30%.
Requirement: Compute for the cost of sales in 20x2
Requirement: Compute for the gain or loss on repossession
Solution: Solution
Realized gross profit-20x1 264,000 Date Inventory 6,000
Divide by: Collections in 20x1 1,200,000 Deferred gross profit (10kX 30%) 3,000
Gross profit rate-20x1 22% Loss on repossession 1,000
Installment account receivable 10,000
Total realized gross profit in 20x3 658,640 Illustration 2: Repossession — Estimated resale price
Realized gross profit in 20x3 from 20x1 sales (320k X 22%) (70,400) Information on ABC Co.'s installment sales is as follows:
Realized gross profit in 20x3 from 20x3 sales (1.8M X 25%) (450,000) 20x1 20x2
Realized gross profit in 20x3 from 20x2 sales 138,240 Sales 200,000 320,000
Cost of sales 160,000 224,000
Realized gross profit in 20x3 from 20x2 sales 138,240 Gross profit rate 20% 30%
Divide by: collections in 20x3 from 20x2 sales 576,000 Installment receivable - 20x1 90,000 30,000
Gross profit rate-20x2 24% Installment receivable - 20x2 144,000
Installment sales-20x2 2,400,000 During 20x2, ABC Co. repossessed a property that was sold in 20x1 for P20,000. Prior to
Multiply by: Cost ratio in 20x2 (100%-24%) 76% repossession, P5, OOO were collected from the buyer. The repossessed property is expected to þe
Cost of sales- 20x2 1,824,000 resold for P17,000 after reconditioning costs of P3,000. The normal profit margin is 30%.
======== Requirements:
-Observe that the previous problems all revolve arOund the two formulas below (and their Compute for the gain or loss on repossession.
variations): Compute for the total realized gross profit in 20x2.
Compute for the profit recognized in 20x2
Realized gross profit = Collection on sale x Gross profit rate Solution:
Gross profit rate = Deferred gross profit ÷ Installment account receivable Requirement a
Date Inventory 8,900
Repossession Deferred gross profit (15kX 30%) 3,000
The seller may repossess the good sold in case of default by the buyer. On repossession date: Loss on repossession 3,100
a. The repossessed good is debited to an inventory account at "fair value." For purposes of Installment account receivable(20k-5k) 15,000
applying the installment sales method, "fair value" is either:
i. the appraised value of the repossessed good; or Estimated resale price 17,000
ii. the estimated resale price of the repossessed good less reconditioning costs and normal profit Reconditioning cost (3,000)
margin. Normal profit margin (17kx30%) (5,100)
b. The carrying amounts of the related installment receivable and deferred gross profit are Fair value of repossessed property 8,900
derecognized. ======
c. The difference between (a) and (b) is recognized as gain or loss on repossession. The gross profit rate in the year the repossessed good was originally sold is used in computing for
the related deferred gross profit.
Requirements (b) and (c):
Pro forma entry The collections in 20x2 are computed as follows:
Realized gross profit from:
Date Inventory (at fair value) xx 20x1 sale (45K x20%) 9,000
Deferred gross profit (at carrying amount) xx 20x2 sale (175Kx30%) 52,800
Loss on repossession (debit balancing figure) xx Total realized gross profit in 20x2-Req.b 61,800
Installment receivable (at carrying amount) xx Loss on repossession (3,100)
Gain on repossession (credit balancing figure) xx Profit in 20x2-req.c 58,700
======
illustration 1: Repossession — Appraised value Illustration 3: Repossession — Fair value after reconditioning costs
ABC Co. repossessed a good that was previously sold to a defaulting buyer. Relevant information Information on a repossessed good from a defaulting buyer is as follows:
follows: The appraised value (fair value) is P6,000 after reconditioning costs of P500.
Appraised value of the repossessed good — P6,000. The balance of the installment receivable is P10,000. The gross profit rate on the sale is
Balance of installment receivable — P10,000 30%.
Illustration 5: Repossession — installments w/ interest
Requirement: Compute for the following: ABC Co. uses the installment sales method. On Jan. 1, 20x1, ABC Co. sold inventory costing
a. Gain or loss on repossession. P180,000 for P240,OOO payable as follows: down payment of P48,OOO and twelve monthly
b. New cost basis of the repossessed inventory. payments of P16,525 due at the beginning of each succeeding month. The installments include
interest of 1/2 of 1% per month. After making three succeeding monthly payments, the customer
Solution defaulted and ABC Co. repossessed the inventory. The fair value of the repossessed inventory is
Requirement(a) P180,000.
Date Inventory (exclusing reconditioning cots) 5,500 Requirements: Compute for the following:
Deferred gross profit (10K x 30%) 3,000 a. Realized gross profit from the sale.
Loss on respossession (squeeze) 1,500 b. Gain or loss on repossession.
Installment account receivable 10,000
Solutions
Date Collections Interest income Principal Balance
a. On repossession date, the inventory account is debited at the appraised value of the 1/1/20x1 240,000
repossessed good in its present condition without the further reconditioning (i.e., 6,000- 1/1/20x1 48,000 - 48,000 192,000
5,000=5,500).The reconditioning costs are subsequently capitalized when incurred as 2/1/20x1 16,525 960 15,565 176,435
follows: 3/1/20x1 16,525 882 15643 160,792
Date Inventory 500 4/1/20x1 16,525 804 15,721 145,071
Cash 500 Collections pertaining to principal 94,929
How much is the total realized gross profit in 20x2? Gross profit ? ? ?
For accounting purposes, installment sales are recorded at contract price. Any unpaid balances on
defaulted contracts are charged ton uncollectible accounts expense. Sales of defaulted merchandise are
credited to uncollectible accounts expense. Interests are recorded in the period earned. For its first year
of operation ending December 31, 20x1, the books of the company showed the following: