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mba/ch66.org
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@ -5,5 +5,197 @@
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* Links
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- [[./../mba-main.org][TOC | Business]]
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- [[https://www.udemy.com/course/an-entire-mba-in-1-courseaward-winning-business-school-prof/learn/lecture/4301156#overview][S12:L66 course video]]
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- [[https://www.udemy.com/course/an-entire-mba-in-1-courseaward-winning-business-school-prof/learn/lecture/4321706#overview][S12:L67 course video]]
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* notes
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- easier way to do [[*Discounted Cash Flow (DCF)][DCF]]
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- [[*Net Present Value (NPV)][NPV]]
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** how do we look at companies
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- www.sec.gov
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- get the S1 - IPO filing document
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- look at each line item as a percentage of revenue
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** IPO prospectus
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- number of shares on top
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- firms involved
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- inside says the use of proceeds
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- what the money will be used for
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- hiring people
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- general business purposes
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- opening new offices
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- aqcuiring new businesses
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- every risk
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- also referred to as an S1
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- you can find it in sec.gov, look for an S1 on any company
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* definitions
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** Discounted Cash Flow (DCF)
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In finance, DCF is a method used to estimate the value of an investment, company, or project
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based on its expected future cash flows, adjusted for the time value of money.
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*** Basic Steps
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1. Forecast future cash flows (e.g., for the next –10 years)
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2. Choose a discount rate (often Weighted Average Cost of Capital, WACC)
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3. Discount each year’s cash flow to its present value
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4. Sum the present values to get the total estimated value
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*** Formula
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#+BEGIN_SRC text
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PV = Cash Flow in Year n / (1 + r)^n
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#+END_SRC
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Where:
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- r = discount rate
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- n = year number
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- PV = present value
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*** Key Insight
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The result represents the estimated worth of the investment *today*
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based on its future cash-generating potential.
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** Net Present Value (NPV)
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NPV is a financial metric used to determine the profitability of an investment or project by comparing the present value of cash inflows with the present value of cash outflows
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- https://www.investopedia.com/ask/answers/021115/what-formula-calculating-net-present-value-npv-excel.asp
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*** Purpose
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- Shows whether an investment will add value to a business
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- Helps compare different investment opportunities
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*** Formula
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#+BEGIN_SRC text
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NPV = Σ [ Cash Flow_t / (1 + r)^t ] − Initial Investment
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#+END_SRC
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Where:
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- t = year iteration. ie, 1, 2, 3... not the actual year
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- r = discount rate [[*Weighted Average Cost of Capital (WACC)][WACC]]
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- Cash Flow_t = cash flow at time t
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*** Python Formula
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#+BEGIN_SRC python
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def present_value(t, cash_flow, wacc):
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"""
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Calculate the present value of a future cash flow.
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Parameters:
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t : int -> Year index (0 for present year, 1 for next year, etc.)
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cash_flow : float -> Cash flow amount for year t
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wacc : float -> Weighted Average Cost of Capital (as decimal, e.g., 0.08 for 8%)
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Returns:
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float -> Present value of the given cash flow
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"""
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# Discount factor = (1 + WACC)^t
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# The factor by which a future value is reduced to account for time & cost of capital
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discount_factor = (1 + wacc) ** t
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# Present Value = Future Cash Flow / Discount Factor
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return cash_flow / discount_factor
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#+END_SRC
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#+BEGIN_SRC python
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def npv_formula(cash_flow_list, wacc):
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"""
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Calculate Net Present Value (NPV) for a series of cash flows.
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Parameters:
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cash_flow_list (list[float]): List of cash flows for each period,
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where index 0 is the first period's cash flow.
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wacc (float): Weighted Average Cost of Capital (discount rate)
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expressed as a decimal (e.g., 0.08 for 8%).
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Returns:
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float: Net Present Value (NPV) of the given cash flows.
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Notes:
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Uses the present_value() function for discounting each cash flow.
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Assumes cash flows occur at the end of each period.
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"""
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net_value = 0
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for index, cash_flow in enumerate(cash_flow_list):
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net_value += present_value(t=index, cash_flow=cash_flow, wacc)
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return net_value
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#+END_SRC
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#+BEGIN_SRC python
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def npv_value(cash_flow_list, initial_outlay, wacc):
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"""
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Calculate Net Present Value (NPV) by subtracting the initial investment
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from the present value of future cash flows.
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Parameters:
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cash_flow_list (list[float]): List of future cash flows for each period,
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where index 0 is the first period's cash flow.
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initial_outlay (float): The initial investment or project cost.
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wacc (float): Weighted Average Cost of Capital (discount rate)
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expressed as a decimal (e.g., 0.08 for 8%).
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Returns:
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float: Net Present Value (NPV).
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Notes:
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This function calls net_pv() to calculate the sum of discounted
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cash flows, then subtracts the initial_outlay.
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"""
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return net_pv(cash_flow_list, wacc) - initial_outlay
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#+END_SRC
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*** Steps
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1. Identify each expected cash inflow for future periods.
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2. Discount each inflow using the discount rate \( r \) and period \( t \).
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3. Add the discounted values together.
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4. Subtract the initial investment cost.
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*** Interpretation
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- NPV > 0 → Investment is profitable
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- NPV = 0 → Break-even
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- NPV < 0 → Investment will lose money
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*** Key Difference from DCF
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- DCF is the method of valuing future cash flows
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- NPV is the *result* after subtracting the initial cost from the DCF
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** Weighted Average Cost of Capital (WACC)
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*** Formula
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#+BEGIN_SRC latex
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WACC = \frac{E}{V} \times Re + \frac{D}{V} \times Rd \times (1 - Tc)
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#+END_SRC
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*** Variables
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- \( Re \) = [[*Cost of Equity (Re)][Cost of Equity]]
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- \( Rd \) = [[*Cost of Debt (Rd)][Cost of Debt]]
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- \( E \) = Market value of the firm's equity
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- \( D \) = Market value of the firm's debt
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- \( V \) = \( E + D \) (Total market value of financing)
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- \( \frac{E}{V} \) = Percentage of financing that is equity
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- \( \frac{D}{V} \) = Percentage of financing that is debt
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- \( Tc \) = Corporate tax rate
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*** Notes
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- WACC represents the average rate that a company is expected to pay to finance its assets.
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- It is used as the discount rate in DCF calculations.
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** Cost of Equity (Re)
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- The return required by equity investors for investing in a company.
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- Often estimated using the Capital Asset Pricing Model (CAPM):
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#+BEGIN_SRC
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Re = Rf + β * (Rm - Rf)
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Rf = Risk-free rate
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β = Beta (measure of stock's volatility vs. market)
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Rm = Expected market return
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#+END_SRC
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** Cost of Debt (Rd)
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- The effective interest rate a company pays on its borrowed funds, adjusted for tax savings.
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- Formula:
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#+BEGIN_SRC
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Rd = Effective Interest Rate * (1 - Tc)
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#+END_SRC
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- Example:
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#+BEGIN_SRC
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If Effective Interest Rate = 6%
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Tc = 25%
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Rd = 0.06 * (1 - 0.25) = 0.045 (4.5%)
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#+END_SRC
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9
mba/ch70.org
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9
mba/ch70.org
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@ -0,0 +1,9 @@
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#+title: Section 13 | Lesson 70 - management consulting and the frameworks they use
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#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../_share/media/css/org-media-sass/categories/business.css" />
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#+OPTIONS: H:6
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* Links
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- [[./../mba-main.org][TOC | Business]]
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- [[https://www.udemy.com/course/an-entire-mba-in-1-courseaward-winning-business-school-prof/learn/lecture/4317556#overview][S13:L70 course video]]
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* notes
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