1. STRAIGHT PROBLEMS-Hyperinflation - students

Overview of Hyperinflation & Current-Cost / Constant-Peso Accounting

Hyperinflationary reporting is governed by IAS 29 (Financial Reporting in Hyperinflationary Economies). The standard demands that:

• All amounts expressed in the functional currency be restated in end-of-period purchasing power when the cumulative three-year inflation reaches or exceeds $100\%$.

• Monetary items remain un‐restated because they are already denominated in units of current money.

• Non-monetary items, income-statement figures, equity, and comparative data are restated by multiplying their historical pesos (or other currency units) by an indexation factor:
  $\text{Restated Amount}= \text{Historical Amount}\times\frac{\text{CPI}<em>{\text{end}}}{\text{CPI}</em>{\text{date of origin}}}$

• The net difference created by holding monetary assets or liabilities during inflation is recognised as a purchasing-power gain (PPG) or loss (PPL) and is reported in profit or loss.

Key Definitions & Concepts

• General Price Index (CPI) – A broad, economy-wide measure of the average price-level.

• Monetary Items – Cash, receivables, payables, loans – items settled in a fixed or determinable number of currency units.

• Non-monetary Items – Inventories, property, plant & equipment (PPE), intangible assets, share capital, retained earnings.

• Constant-Peso Accounting (CPA) – Restatement of all non-monetary items in terms of the same purchasing power at period-end.

• Current-Cost Accounting (CCA) – Non-monetary items are carried at current replacement cost rather than merely restated historical cost.

• FIFO Inventories under CPA – The physical flow assumption survives, but cost layers are translated to end-of-year pesos according to acquisition‐date CPI.

• Straight-line Depreciation in CPA – Apply the restated depreciable base and spread over remaining useful life.

Problem 1 – Monthly Revenue Under Hyperinflation

Facts

• Functional currency is hyperinflationary; inflation = $5\%$ per month.

• Revenue of CU $250{,}000$ is earned on the first day of every month in $20X1$.

• Objective: Express the entire year’s revenue in end-of-year purchasing power (index at 31 Dec 20X1 = $1.00$).

Approach

1. Determine the purchasing-power factor for each month (because receipts occur on the first day).
   $\text{Factor}_{m}= \frac{1.05^{12-m}}{1.05^{0}} = 1.05^{12-m}$
   where $m$ ranges from $1$ (January) to $12$ (December).

2. Multiply each monthly sale by its factor and sum:
   \begin{aligned}
   \text{Restated Revenue} &= 250{,}000\times\Big(1.05^{11}+1.05^{10}+\dots+1.05^{0}\Big)\
   &=250{,}000\times\frac{1.05^{12}-1}{1.05-1}\
   &=250{,}000\times\frac{1.795856-1}{0.05}\
   &=250{,}000\times3.342984\
   &=\boxed{CU\,4{,}178{,}246}\end{aligned}
   Answer (b) agrees with the worked solution.

Problem 2 – Hyper Company (Philippine Peso Example)

2.1 Opening Statement of Financial Position – 1 Jan 2007 (Historical)

Cash = $10{,}000$
Inventory = $30{,}000$
Land = $50{,}000$
Equipment = $80{,}000$
Share Capital = $170{,}000$
(All pesos are nominal.)

2.2 Supplemental 2007 Information (Historical)

a. Credit sales of $300{,}000$ spread evenly; $75\%$ collected in 2007.
b. Credit purchases of $150{,}000$ spread evenly; $80\%$ paid in 2007.
c. Operating expenses $40{,}000$; income tax $35\%$ of pretax income – both cash-settled evenly through the year.
d. Cash dividend $14{,}000$ on 31 Dec 2007.
e. FIFO. Ending inventory $20{,}000$ purchased when CPI = $210$.
f. Equipment SL depreciation: $8$-year life, no salvage → annual dep’n $10{,}000$.

Relevant CPI values:

• 1 Jan 2007 = $200$

• Average 2007 = $210$

• 31 Dec 2007 = $220.5$

2.3 Required Schedules & Answers

2.3.1 Combined Income & Retained Earnings (Historical Cost)

(Exact subtotals tie to transcript.)

• Net Sales = $300{,}000$

• Cost of Sales (FIFO) = $160{,}000$

• Gross Profit = $140{,}000$

• OpEx = $40{,}000$

• Depreciation = $10{,}000$

• Profit before tax = $90{,}000$

• Income tax (35\%) = $31{,}500$

• Net Profit = $58{,}500$

• Dividends = $14{,}000$

• Retained Earnings, 31 Dec 2007 = $44{,}500$

2.3.2 Statement of Financial Position – 31 Dec 2007 (Historical Cost)

Assets:

• Cash $29{,}500$

• Accounts Receivable $75{,}000$

• Inventory $20{,}000$

• Land $50{,}000$

• Equipment $80{,}000$ less Accum Dep’n $10{,}000$
  Total Assets = $244{,}500$
  Liabilities & Equity:

• Accounts Payable $30{,}000$

• Share Capital $170{,}000$

• Retained Earnings $44{,}500$
  Total = $244{,}500$

2.3.3 Purchasing-Power Gain/Loss (2007, End-of-Year Pesos)

1. Restate opening net monetary assets (NMA):
   $\text{NMA}_{\text{beg}}=10{,}000$ (cash) only →
   $10{,}000\times\frac{220.5}{200}=11{,}025$

2. Restate closing NMA:
   Historical NMA = Cash $29{,}500$ – A/P $30,000$ = $\,(500)$
   Inventory, land, equipment are non-monetary.
   Restate: $-500\times\frac{220.5}{220.5}=-500$

3. Net monetary loss =
   $\text{Loss}= \big(11{,}025-(-500)\big)-(10,000-500)=4,950$
   Thus, Purchasing-Power Loss = $4,950$.

2.3.4 Restated / Constant-Peso Income & Retained Earnings

Key translation factors:

• Sales & Purchases: $\frac{220.5}{210}=1.05$ (average to year-end)

• Jan 1 balances: $\frac{220.5}{200}=1.1025$

• Dec 31 items: factor $=1$.
  Statement highlights:

• Restated Sales = $315{,}000$

• Restated COGS = $169,575$

• Restated Gross Profit = $145,425$

• Restated OpEx = $42,000$

• Restated Dep’n = $11,025$

• Profit before tax = $92,400$

• Restated Tax = $33,075$

• Deduct Purchasing-Power Loss $4,950$

• Net Profit = $54,375$

• Restated Ending R/E = $40,375$

2.3.5 Restated / Constant-Peso Statement of Financial Position 31 Dec 2007

• Cash $29,500$ (monetary)

• A/R $75,000$ (monetary)

• Inventory $21,000$ ($20,000\times\frac{220.5}{210}$)

• Land $55,125$ ($50,000\times1.1025$)

• Equipment Gross $80,000\times1.1025=88,200$ less Accum Dep’n $11,025$ → Net $77,175$
  Total Assets = $257,800$
  Liabilities & Equity:

• A/P $30,000$

• Share Capital $187,425$ ($170,000\times1.1025$)

• Retained Earnings $40,375$
  Total = $257,800$

Interpretation: monetary liabilities were eroded by inflation, producing a purchasing-power loss (holders of net monetary assets suffer during inflation).

Problem 3 – Lolo Company (Restatement to 2007 & 2008 Price Levels)

3.1 CPI Data

• 1 Jan 2007 = $100$

• 31 Dec 2007 = $120$

• 31 Dec 2008 = $200$

3.2 Restated Statement of Financial Position

31 Dec 2007 (End-2008 pesos)

Translation factor $=\frac{200}{\text{index at date}}$.

• Cash $3,000,000\times\frac{200}{120}=5,000,000$

• Inventory $2,200,000\times\frac{200}{110}=4,000,000$

• Equipment (Net) $1,500,000\times\frac{200}{100}=3,000,000$

• Land $4,500,000\times2=9,000,000$
  Total Assets $=21,000,000$.

• Current Liabilities $1,500,000\times\frac{200}{120}=2,500,000$

• Non-current Liabilities $6,000,000\times\frac{200}{120}=10,000,000$

• Share Capital $3,000,000\times2=6,000,000$

• Retained Earnings (balancing) $2,500,000$
  Total Equity & Liabilities $=21,000,000$.

31 Dec 2008 (End-2008 pesos)

Cash $4,250,000$
Inventory $3,000,000\times\frac{200}{160}=3,750,000$
Equipment (Net) $1,400,000\times2.0=2,800,000$
Land $4,500,000\times2=9,000,000$
Assets $=19,800,000$
Current Liabilities $2,000,000$
Non-current Liabilities $6,500,000$
Share Capital $6,000,000$
Retained Earnings $5,300,000$
Total $=19,800,000$.

3.3 Restated Income Statement (2007 figures expressed in 2008 pesos)

Sales $8,000,000\times\frac{200}{160}=10,000,000$
COGS computation:

• Beg Inv $2,200,000\times\frac{200}{110}=4,000,000$

• Purchases $5,200,000\times\frac{200}{160}=6,500,000$

• End Inv $3,000,000\times\frac{200}{160}=3,750,000$

• Restated COGS $=6,750,000$.
  Gross Income $=3,250,000$
  Add Purchasing-Power Gain $2,850,000$ (see Section 3.4)
  Total Income $=6,100,000$
  Expenses:

• Selling & Admin $1,700,000\times\frac{200}{160}=2,125,000$

• Dep’n $100,000\times2=200,000$
  Total OpEx $=2,325,000$
  Income before tax $=3,775,000$
  Tax $500,000\times\frac{200}{160}=625,000$
  Net Income $=3,150,000$
  Add R/E 01 Jan (restated) $2,500,000$
  Less Dividend $350,000$
  Ending R/E $=5,300,000$

3.4 Purchasing-Power Gain Computation

1. Restated Net Monetary Liabilities at 31 Dec 2007:
   $\text{Cash}=5,000,000$; Liabilities $=2,500,000+10,000,000=12,500,000$ → $\text{NML}_{07}=7,500,000$

2. Net Monetary Liabilities at 31 Dec 2008 (restated): $7,100,000$

3. Change in NML attributable to transactions during 2008:
   \begin{aligned}
   \text{Decrease in NML}&=7,500,000-7,100,000=400,000\
   \text{Purchasing-Power Gain}&=2,850,000 \text{ (per detailed schedule)}\end{aligned}

Interpretation: Because the entity is net monetary liability positive, rising prices reduce the real burden, leading to gains.

Cross-Problem Insights

• Monthly Indexing vs Annual Average – Problem 1 uses explicit monthly compounding; Problems 2-3 use average CPI for flows evenly earned through the year.

• FIFO vs CPI Interaction – Under FIFO, ending inventory is typically the most recent purchases. Restatement uses the CPI at purchase date, so younger layers receive smaller restatement factors.

• Depreciation Restatement – Either restate the opening gross PP&E and accumulated depreciation separately or restate the annual depreciation charge by the factor applicable to the period of cost consumption.

• Equity Restatement – Share capital is restated from its contribution date CPI; retained earnings is a balancing figure after restatement of net profit and dividends.

• Purchasing-Power Gain/Loss Location – Reported within profit or loss, usually immediately after operating profit.

Practical, Ethical & Exam-Oriented Considerations

1. Fair Presentation – Users need information in units of constant purchasing power; failing to restate overstates profits when inflation is material.

2. Auditors & Regulators – Must verify CPI selection, consistency, and the mathematical accuracy of restatements.

3. Taxation – Tax authorities may not accept inflation-adjusted figures; temporary deferred tax differences arise.

4. Managerial Behaviour – Restated depreciation and COGS provide a truer measure of capacity maintenance; helps prevent “illusory” distributable profits.

5. Exam Technique – Identify monetary vs non-monetary items first, then:
   a. Compute factors $\big(\frac{\text{CPI}<em>{\text{end}}}{\text{CPI}</em>{\text{origin}}}\big)$.
   b. Restate beginning balances, movements, and ending balances separately.
   c. Determine purchasing-power gain/loss from net monetary position.
   d. Reconcile restated statements (SFP must still balance!).

By thoroughly understanding these worked examples, you can tackle any hyperinflation restatement or purchasing-power gain/loss computation appearing on your exam.