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SYD:
- Year 1: 10,000 × 5/15= 3,333
- Year 2: 10,000 × 4/15= 2,667
- Year 3: 10,000 × 3/15= 2,000
- Year 4: 10,000 × 2/15= 1,333
- Year 5: 10,000 × 1/15= 667
!! Nel caso, in cui io acquistassi qualcosa in un certo mese dell’anno (es. maggio 2016) e
devo calcolare la depreciation solo del 2017, oltre al calcolo della depreciation devo
moltiplicare anche i mesi appartenenti al 2017, in quanto se ho acquistato qualcosa a
maggio del 2016, tutti i primi 8 mesi non mi interessano, quindi moltiplico 4mesi/12 ossia 1/3
Example:
Company X purchased machinery for 279,000 $ on May 1, 2016. It is estimated that it will
have a useful life of 10 years, residual value of 15,000 $, production of 240,000 units and
working hours of 25,000. During 2017 Company X uses the machinery for 2,650 hours, and
the machinery produces 25,500 units.
Calculate Sum of the years’ digits Depreciation Method:
- 10 /55 X $264,000 X 1/3 = $ 16,000
- 9 /55 X $264,000 X 2/3 = $ 28,800
Double Declining-Balance Method (DDB)
This is an accelerated depreciation method that doubles the rate of declining balance
depreciation. It applies a higher depreciation rate in the earlier years of the asset's
useful life. Useful for assets that rapidly lose their value in the initial years, like computers or
equipment.
The Double Declining Balance (DDB) is a common form of this method, where the
depreciation rate is double what it would be under the Straight-Line Method.
How it Works:
1. Determine the depreciation rate by dividing 1 by the useful life of the asset. For
example, if an asset has a 5-year life, the straight-line depreciation rate would be
1/5=20%
2. Double the rate for DDB. Here, the rate would be 20%×2=40%
3. Calculate depreciation each year by applying the rate to the book value at the
beginning of each year. Subtract each year’s depreciation from the asset’s book
value to get the new book value.
Formula:
Depreciation Expense = Book Value at Beginning of Year × Depreciation Rate
In the first year, you apply the depreciation rate to the full cost of the asset.
In subsequent years, you apply the depreciation rate to the book value (remaining value
after depreciation) from the previous year.
Example 1
A machine is purchased for $10,000 with a 20% declining balance rate (1/useful life and
double it)
In the first year, depreciation = 10,000 × 20% = 2,000
In the second year, depreciation = 8,000 × 20% = 1,600
In the third year, depreciation = 6,400 x 20% = 1,280 and so on.
6. Ratios
A ratio is a numerical relationship between two quantities. In financial analysis, ratios are
used to compare different pieces of financial information from a company's financial
statements (like the balance sheet or income statement). These ratios help assess aspects
such as liquidity, profitability, efficiency, and solvency of the business.
Ratio Analysis is the process of evaluating relationships between various financial variables
by calculating ratios from financial statements. It allows stakeholders—such as investors,
analysts, and managers—to assess a company’s financial performance, make comparisons
across companies, and monitor changes over time.
We can classify ratios based on the type of information the ratio provides:
1) Liquidity;
2) Profitability;
3) Solvency;
4) Activity;
LIQUIDITY
Liquidity ratios assess how well a company can meet its short-term obligations using its
current assets, especially those that can be quickly converted into cash. (To check the
financial health)
● Current Ratio:
Current Ratio = Current Assets / Current Liabilities
Ability to meet short-term obligations with current assets (assets expected to be converted
into cash within a year).
< 1: poor liquidity management or operational inefficiencies. The company may face
liquidity issues > may not have enough cash or near-cash resources to pay off its short-term
debts and might need to rely on external financing, like borrowing or raising equity.
Inventory needs to be sold to generate cash. If sales are slow, liquidity issues arise.
Accounts Receivable represents money owed by customers, which can take time to collect.
If the company cannot convert these into cash quickly enough, it might fail to pay its
creditors on time.
Ex. the current ratio of 0.8 means that for every $1 of liabilities, the company only has
$0.80 of assets it can quickly access or convert into cash.
Ideally between 1.5 and 2
significantly > 1: excess inventory (it might not be selling as quickly as expected). This
leads to increased storage costs, and obsolete inventory may become a liability. Excessive
current assets could mean the company is not using them effectively to generate revenue
> inefficiency in managing assets or capital > too many resources in liquid rather than
using them to generate returns or growth.
!!
If Current Ratio > Quick Ratio, the company is relying on inventory to cover its short-term
liabilities. In this case I should calculate Days Inventory Outstanding.
DIO = Inventory / average day’s COGS
This means the company has a significant amount of inventory that may not be easily
converted into cash quickly. To understand the extent of this issue, you calculate DIO to see
how long the inventory takes to sell > If inventory isn’t sold quickly, this could create liquidity
problems because its inventory is slow-moving and may not be easily converted into cash,
despite having a positive Current Ratio.
If Current Ratio = Quick Ratio, the company has relatively low inventory levels
compared to other current assets > company is not overly reliant on inventory to meet its
obligations, which might be a sign of good liquidity management.
● Quick Ratio (Acid-Test Ratio)
Quick Ratio = (Cash + Short-term Investments + Receivables) / Current
Liabilities
Ability to meet short-term obligations using only the most liquid assets (excluding
inventory).
< 1: does not have enough liquid assets to cover its current liabilities. It indicates that the
company may need to rely on its inventory or other non-liquid assets to meet short-term
obligations. This could signal cash flow difficulties or the need to sell off assets quickly
to raise money, which can disrupt the company’s operations and increase financial risk.
> 1: Companies can meet short-term debts without selling inventory. This suggests a
comfortable liquidity position, where current assets sufficiently cover current liabilities.
> 1 but close: Healthy liquidity, but should monitor for changes. A small dip in current assets
or an increase in liabilities could quickly cause liquidity issues.
● Cash Ratio:
Cash Ratio = (Cash + Short-term investment) / Current Liabilities
Ability to pay off short-term liabilities using only cash and short-term investment.
> 1 suggests that a company is highly liquid and has strong cash reserves to meet its
short-term debts, but it could also mean the company isn’t using its cash efficiently for
growth or investment.
< 1 might indicate that the company relies more on receivables or inventory to meet
obligations, which could lead to liquidity issues, especially if there are delays in payments
from customers or a slow-moving inventory.
< 0.5 is common because many companies don’t keep large amounts of cash on hand.
Instead, they often rely on accounts receivable (money owed by customers) and inventory
to meet short-term obligations. These assets are less liquid than cash but still useful for
fulfilling obligations.
If the Quick Ratio > Cash Ratio, it means a significant part of the company’s short-term
liquidity comes from receivables, not cash. This could be risky because receivables are not
guaranteed and timing is uncertain. A higher Quick Ratio than Cash Ratio is fine only if
receivables are collected quickly (a low DSO).
You should calculate Days Sales Outstanding (DSO) when the Quick Ratio is significantly
higher than the Cash Ratio to evaluate the company's dependence on receivables and the
risk it poses to liquidity
Days Sales Outstanding = Receivables / Average day’s revenues
Companies typically aim for DSO between 30–45 days.
PROFITABILITY
Profitability ratios assess how well a company generates profit from its operations.
Margins and return ratios provide information on the profitability of a company and the
efficiency of the company.
Margin ratios focus on the profitability of a company relative to its sales or revenue. These
ratios show how much profit a company is able to generate from its revenue after specific
costs are deducted.
1. Gross Profit Margin:
This ratio measures how much money a company keeps from its sales after covering the
cost of producing its goods or services (COGS).
Gross Profit Margin = Gross Profit / Revenue
Gross Profit = Revenues - COGS
Higher margin indicates the company is efficiently managing its production costs
(materials, labor, etc.) relative to the revenue it generates > company retains more money
from each dollar of sales to cover operating expenses and profit > suggests a strong
pricing power since the company can sell its products or services at a premium price, often
due to strong brand positioning or high demand. With more profit available after
production costs, the company has greater flexibility to invest in growth, absorb
economic shocks, or compete effectively.
Lower margin suggests that production costs may be eating into profits, or the company
might not have enough pricing power. If the company faces competitive pressures and
cannot raise prices (e.g., in a price-sensitive market), its margin shrinks > reduced pricing
power could stem from economic downturns, increased competition, or lack of product
differentiation > Inefficient production processes, waste, or poor supplier management
could lead to higher COGS, reducing the gross profit margin.
If it decreases, it could indicate rising production costs, reduced pricing power, meaning
the company is unable to increase prices despite rising costs or market pressure and
inefficiencies in the production process.
!! - GPM alto, OPM basso: company is managing its production costs well, but is facing
issues with its operating expenses. This could mean the company is having trouble
controlling expenses related to overheads such as marketing, administration, and
other non-production-related costs.
- Entrambi bassi: L'azienda ha problemi sia nei costi di produzione che nelle spese
operative, indicando inefficienza generale.
- Entrambi alti: L'azienda gestisce bene sia i costi di produzione che le spese
operative, mostrando una buona efficienza complessiva.
2. Operating Profit Margin also called EBIT (con non-operating activities)
This ratio shows how efficiently a company is managing its core operations. It focuses on the
profit a company makes from its main business activities, befo