DISCOUNTED CASH FLOW Flashcards

1
Q

What is a DCF?

A

A DCF is a valuation methodology premised on the principle that the value of a company can be derived from the present value of its projected free cash flows (FCFs).

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What type of assumptions do a company’s FCFs depend on?

A

Assumptions on Financial Performance such as:

Sales, Growth Rates, Profit Margins, Capital Expenditures, and Net Working Capital NWC

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What type of valuation does a DCF yield and why is this important?

A

The valuation implied by a DCF is its intrinsic value, opposed to its market value. This serves as an important alternative (as market valuations can be distorted by a number of factors including market aberrations) or when no (or limited) pure play peer companies or acquisitions exist.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

How long are FCFs projected out for a DCF?

A

The company’s FCF is projected for a period of around 5 years. This may be longer depending on sector, stage, or predictability of financial performance. It is critical to ensure relative confidence in predictable financial performance as the valuation depends heavily on the assumptions taken.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Why do we also use a terminal value in a DCF?

A

Given the inherent difficulties in accurately projecting out a company’s financial performance, a terminal value is used to capture the remaining value of the target beyond the projection period (Going Concern Value)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

What is the key pro and con of a DCF?

A

Assumptions.

Pro: the use of defensible assumptions regarding financial performance, WACC, and terminal value helps shield the target’s valuation from market distortions that occur periodically. It also provides flexibility in changing underlying inputs and examining alternate scenarios.

Con: A DCF is only as strong as its assumptions and hence if assumptions fail to adequately capture the realistic set of opportunities and risks facing the target it will produce a meaningless valuation.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

What are the steps in a DCF analysis?

A
  1. Study the target and determine the key performance drivers
  2. Project the Free Cash Flow
  3. Calculate the Weighted Average Cost of Capital
  4. Determine the Terminal Value
  5. Calculate the Present Value and Determine Valuation
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Walk me through a DCF valuation.

A

There are typically 5 steps to a good DCF:

  1. Like all valuation exercises, you first want to study the target and determine the key performance drivers. As the DCF depends heavily on reasonable and predictable financial performance metrics, understanding the company and its sector is crucial to generating a meaningful set of assumptions and subsequently valuation.
  2. Next we project the unlevered FCF of the company, which is the cash generated by a company after paying all operations expenses and taxes, as well as funding capex and working capital, but prior to paying any interest expense, for a period of typically 5 years. This is driven by the assumptions conducted in step one.
  3. Thirdly, we determine WACC, which is the discount rate we use to calculate the present value of the FCF and terminal value. WACC is conceptually the overall cost of financing for the firm and is the weighted average of the required return on invested capital (debt and equity) in the company. It is commensurate with its business and financial risks. WACC is dependent on capital structure as debt and equity have significantly different tax ramifications and risk profiles.
  4. Fourthly, we determine the terminal value to quantify the remaining value of the target after the projection period. It is important for the target’s financial data represent a steady state or normalized level of financial performance (rather than cyclical high/low). There are 2 methods to calculate TV: exit multiple method (EMM) and perpetuity growth method (PGM). EMM calculates the remaining value of the target after the projection period on the basis of a multiple of the target’s terminal year EBITDA (or EBIT). The PGM calculates terminal value by treating the target’s year FCF as a perpetuity growing at an assumed rate.
  5. Lastly, we discount the target’s FCF and Terminal Value back to the present using the WACC and sum them together to derive the enterprise value. As a DCF incorporates numerous assumptions about key performance drivers, WACC, and terminal value, it is used to produce a valuation range rather than a single value. The range is driven by varying key inputs through sensitivity analysis.
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

How do we calculate Unlevered FCF?

A
EBIT
- Taxes (at marginal rate)
------------------------
= Earnings before interest after tax (EBIAT)
\+ D&A
- Capital Expenditures 
- Increase in Working Capital (or + Decrease in WC)
------------------------
= FCF
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

What are some considerations for projecting FCF?

A
  1. Historical Performance - typically 3 year period serves as a good proxy for projecting future performance
  2. Project Period Length - typically 5 years is used to allow for predictability of financial performance. For mature companies, five-years projection period typically spans a business cycle and allows sufficient time for realization of initiatives. However for early stage companies of rapid growth, it may be appropriate to build a longer projection model (10years or more) to allow the target to reach a steady state level of cash flow. The longer period is often used for businesses in sectors with long-term contracted revenue streams (Natural Resources, Satellite, or utilities).
  3. Alternative Cases - developing alternate cases allows the banker to switch functions in the model to highlight adjustments to the base-case (adjusting projections and other assumptions)
  4. Projecting Financial Performance without Management Guidance - Without access to initial projections, bankers must be able to drive defensible projections based on historical financial performances, sector trends, and consensus estimates.
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

When would you use a longer projection period for DCF?

A

For early stage companies of rapid growth, it may be appropriate to build a longer projection model (10years or more) to allow the target to reach a steady state level of cash flow.

The longer period is often used for businesses in sectors with long-term contracted revenue streams (Natural Resources, Satellite, or Utilities).

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

What are some key points in projecting Revenue / Sales?

A

Use Equity Research for first few years. Then, derive growth rates from alternative sources - industry reports, consulting studies.

otherwise, step down growth rates incrementally in future years of the projection period at a reasonable long-term growth rate by the terminal year (2-4%)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

What are some key points in projecting Revenue / Sales for highly-cyclical businesses?

A

For highly cyclical businesses, sales are more volatile and peak-to-trough. Terminal Value of the company MUST be normalized, therefore, early year projections may peak, then decline, then normalize by terminal year.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

How do you get from EBIT to EBIAT?

A

Tax-effected EBIT (or EBIAT or NOPAT) =

EBIT * (1 - Tax Rate)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

How do you calculate Net Working Capital (NWC)

A

NWC = (Accounts Receivable + Inventory + Prepaid Expenses + Other Current Assets ) LESS (Accounts Payable + Accrued Liabilities + Other Current Liabilities)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What does an increase in NWC mean?

A

This is when current assets increase by more than current liabilities and is typical for a growing company, which tends to increase its spending on inventory to support sales growth. Similarly A/R tends to increase with sales growth.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

How are Accounts Receivable projected?

A

Using DSO (days of sales outstanding) to gauge how well a company is managing the collection of its A.R by measuring the number of days it takes to collect payment after the sale of a product or service.

DSO = [(A.R) / Sales ] x 365

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

How is Inventory projected?

A

Using DIH (days inventory held), representing the number of days it takes to sell the inventory.

DIH = [ Inventory / COGS ] x 365

Also could use Inventory Turns

COGS / Inventory

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

What is WACC?

A

WACC is the weighted average of the required return on the invested capital (both debt and equity) in a given company. It conceptually is the overall cost of financing for the firm and is commensurate with its business and financial risks. WACC is dependent on capital structure as debt and equity have significantly different tax ramifications and risk profiles.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

What are the formulas for WACC?

A

WACC = (1-Tax) * (cost of debt) * (% of Debt) + (cost of equity) * (% of equity)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

How do you determine the Target Capital Structure for the company?

A

WACC is predicated on choosing a target capital structure for the company that is consistent with its long-term strategy. The banker can examine the company’s current and historical debt-to-total capitalization ratios as well as that of its peers. Public comps can provide a meaningful baseline to benchmark. Existing structure is generally used as long as it is within the range of the comparables.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

What is the optimal capital structure for a company?

A

The optimal capital structure is defined as the financing mix that minimizes WACC and therefore maximizes a company’s theoretical value.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

What happens to WACC if there is no debt in the company?

A

WACC = Cost of Equity

24
Q

What happens to WACC as the proportion of debt in the capital structure increases?

A

WACC gradually decreases due to the tax deductibility of interest expense. Also, the cost of equity exceeds the cost of debt as the risk to shareholders is greater than to lenders since payment on a debt is required by law regardless of a company’s profit margins (and thus equity holders require a higher return)

25
Q

What is cost of debt?

A

It reflects the credit profile at the target capital structure and is derived from the blended yield on its outstanding debt instruments (public and private debt)

26
Q

How do you calculate cost of debt?

A

Calculate the company’s weighted average cost of debt on the basis of the at-issuance coupons of its current debt maturities.

OR: approximate based on its current credit ratings at the target capital structure and the cost of debt from comparable credits

27
Q

Why is cost of debt tax-effected?

A

Interest payments are tax deductible at the company’s marginal tax rate so the cost of debt is tax-adjusted.

28
Q

What is the cost of equity and how do you calculate it?

A

Cost of equity is the required annual rate of return that the company’s equity investors expect to receive (including dividends). It is typically found using the CAPM (capital asset pricing model).

29
Q

What is the CAPM?

A

The CAPM is the model is based on the premise that equity investors need to be compensated for their assumption of systematic risk in the form of a risk premium.

30
Q

What is systematic risk?

A

Is the risk related to the overall market and is non-diversifiable. The level of risk is measured by beta and is the covariance of its share price with the movements in the overall market.

31
Q

What is specific risk?

A

It is the unsystematic or diversifiable risk. As it is reduced through diversification, equity investors are not compensated for it.

32
Q

Do smaller or larger companies have higher unsystematic risk?

A

Typically smaller companies have higher unsystematic risk as they likely have more specific or narrow product offerings.

33
Q

What is the formula for Cost of Equity?

A

Cost of Equity =

Risk-Free Rate + Levered Beta*Market-Risk-Premium

34
Q

What is the risk-free rate?

A

It is the expected rate of return obtained by investing in a riskless security (such as a 10yr Government Bond yield)

35
Q

What is the market-risk premium?

A

It is the spread of the expected market return over the risk-free rate. This is typically found from Ibbotsons or Morningstar. It provides part of the premium in compensation that equity investors expected to receive from investing in a more ‘risky’ asset than a government security.

36
Q

What is Beta?

A

It is the covariance between the rate of return on the company’s stock and the overall market, measuring the systematic risk of the company.

37
Q

What does a Beta = 1 mean? How about < 1 or > 1.

A

Beta = 1 means that the stock should have an expected return equal to the market.

Beta < 1 = the stock has lower systematic risk than the market

Beta > 1 = stock has higher systematic risk that the market

38
Q

Why do you unlever beta?

A

When calculating beta for your calculations, you must be cognizant of your comparable companies universe and their different capital structures. So, you must remove the influence of leverage for each company in the peer group to get the asset beta (unlevered beta) and then re-lever based on your target company’s capital structure.

39
Q

How do you unlever beta?

A

Beta(u) = Beta(L) / (1 + (1-tax)*D/E)

D/E = debt-to-equity ratio which is how levered the company is

40
Q

What do you do with the unlever beta and how do you relever it?

A

You take the median of the unlevered peer companies betas and you reverse engineer it, with the target capital structure and tax rate, to arrive at a levered beta we can use for the cost of equity analysis.

41
Q

What is a size premium?

A

A size premium is an additional factor added to the CAPM based on the fact that smaller companies have higher risk and therefore should have costlier equity. The value of the size premium can also be taken from Ibbotsons for specific industries.

42
Q

Why does a banker use a terminal value in a DCF analysis?

A

It is infeasible to project a company’s FCF indefinitely, thus the terminal value captures the value of the company beyond the projection period.

43
Q

What are the two ways to calculate terminal value?

A

Exit Multiple Method and Perpetuity Growth Method

44
Q

What is the Exit Multiple Method?

A

Calculates the remaining value of a company’s FCF produced after the projection period based on a multiple of the company’s terminal year EBITDA (or EBIT).

Multiples are LTM of comparable trading peer companies and must be normalized and represent stable and steady-state financial performance.

45
Q

What is the Perpetuity Growth Method?

A

The PGM calculates the terminal value by treating a company’s terminal year FCF as a perpetuity growing at an assumed growth rate.

The discount rate used is the WACC and assumed growth rate is typically the expected long-term industry growth rate (2-4%)

46
Q

Do you only use the EMM or PGM?

A

No, both can be used together as a sanity check. If the PGM is too high/low, it could be an indicator that the exit multiple assumptions are unrealistic. (You can check this using implied perpetuity growth rate formulae)

47
Q

What is the mid-year convention?

A

It accounts for the fact that FCF is usually received throughout the year rather than at the year-end. This results in a slightly higher FCF each year due to the FCF being received sooner. (discounting at a lower rate)

48
Q

How do you discount with a mid-year convention?

A

1 / ][1+ WACC^(n-0.5)]

eg. 1 / (1 + 10^1.5) (rather than ^2)

49
Q

Can you use mid-year discounting with both PGM and EMM?

A

You can use it with PGM (as you are discounting perpetual future FCF assumed to be received throughout the year

BUT You cannot use it with EMM, as you are basing the multiple on LTM trading and a calendar-year EBITDA figure.

50
Q

How to derive equity value from DCF?

A

You take the Enterprise Value and cash and cash equivalents and subtract the Net Debt, Preferred Stock, and non-controlling interest.

51
Q

How to derive Enterprise Value from DCF?

A

You add the present value of the Terminal Value and the FCF over the projections using the WACC discounting.

52
Q

How to derive Implied Share Price?

A

Implied Share Price = Implied Equity Value / Fully Diluted Shares Outstanding

53
Q

What is sensitivity analysis and why do we use it?

A

It is the derivation of a valuation range by varying key inputs.

It is used to help show a larger perspective of the analysis as it is driven by assumptions for WACC, exit multiples, growth rates.

54
Q

What are the PROS of a DCF?

A

Cash-flow based: reflects value of projected FCF, which represents a more fundamental approach to valuation than using multiples based methodologies

Market Independent: more insulated from market aberrations such as bubbles and distressed periods

Self-sufficient: does not rely entirely upon truly comparable companies or transactions, which may or may not exist, to frame valuation; a DCF is particularly important when there are limited or no pure play public comparables to the company being valued

Flexibility: allows the banker to run multiple financial performance scenarios, including improving or declining growth rates, margins, capex requirements, and working capital efficiency.

55
Q

What are the CONS of a DCF?

A

Dependence on financial projections: accurate forecasting of financial performance is challenging, especially as projection periods lengthen

Sensitivity to assumptions: relatively small changes in key assumptions, such as growth margins, WACC, or exit multiple, can produce meaningfully different valuation ranges

Terminal Value: the present value of the terminal value can represent as much as 75+% of the valuation, which decreases the relevance of the projection period’s annual FCF

Assumes constant capital structure: the basic DCF does not provide flexibility to change the company’s capital structure over the projection period