Advanced Financial Management
Advanced Financial Management
Advanced Financial Management
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Lernkarten
Payback Period vs. Discounted Payback Period
Payback Period = Time for operating CF of a project to equal the initial investment
Discounted Payback Period = Time for Present Value operating CF of a project to equal the initial investment
How to calculate ROCE and how is it also called?
ROI & Accounting Rate of Return
average EBIT / (average) Initial Investment
average EBIT = opeating profit = Cashflow - depreciation
average Initial Investment = Initial Investment + Scrap Value / 2
Discount factor for Perpetuities
1/r
How to calculate changing discount factors ? e.g. 2% y1 / 1% y1
= 1.02^-1*1.01^-1
how to calculate discount rate for non-annual cashflows
1+r = (1+R)^1/n
r= periodic discount rate
R = annual discount rate
Internal Rate of Return
what it is & formula
IRR = discount rate at which PV of project's CF is zero
The return the project itself is expected to generate.
If IRR > Cost of Capital → Accept the project
If IRR < Cost of Capital → Reject the project
IRR = A+ (Na / (Na-Nb))* (b-a)
A = lower discount rate
b = higher discount rate
which cashflows must be included/excluded for discounting
only include future, incremental cash flows
(e.g. no interest, no sunk costs, non-cashflows, book values, unavoidable costs etc)
interest = cost of finance is measured in the cost of capital/discount rate
Explain the following categories of capital market efficiency
- Allocative Efficiency
- does the market attract funds to the best companies
- Operational Efficiency
- does the market have low transaction costs & a convenient tradingn platform
- Informational Efficiency
- Is all info available to investors at all times
- Pricing Efficiency
- do share prices quickly & accurately reflect all known info about the company
Explain:
weak-form Efficiency
Semi-strong form Efficiency
Strong-form Efficiency
Why is it relevant?
the value of share is based on expectations of future CF from owning the shares. The strength of the link between company performance & share price depends on pricing efficiency of markets.
- weaj form efficiency
- current shareprices reflect all information in record of past prices
- price movements cant be forecasted based on past trends
- semi strong form efficiency
- current shareprices reflect all publicly available information
- price only alters with new info & share prices follow random wallk
- to beat: insider trading
- strong form efficiency
- share price reflects all published & unpublished information
- predictio not possible & insider trading not possible
Paradox of Efficient Markets
Market efficiency relies on investors researchiing public information to find under-over priced shares. However, if market is effiicient, there will be no mispriced shares.
= market becomes more efficient when investors believe it is inefficient and do research to discover information
Market value of Shares (constant dividend)
P0 = D1/1+re + D2//1+re^2 etc
P0 = D/Re (constant dividend to infinity)
P0 = current ex-div market value
re = shareholders required rate of return = cost of equity ke
which price of shares can be estimated with the Dividend Valuation Model
- theoretical FV of shares in unlisted companies where a quoted market price is unknown
- for listed companies w. known share price: required rate of return of shareholders / companies cost of equity finance ke
Gordons growth model
g = b*re
what is b & re?
b = proportion of profits retained = retained profit / profit
re = actual return = RoE = Profit / Net assets
determination of cost of equity for preference shares
same as of shares with constant dividend to annuity
ke=re=D/P0
how to calculate the market value of an irredeemable bond
Po = I / kd
kd = bondholders required return
P0 = ex interest market price
how to calculate the MV of redeemable bonds
MV of coupon interest + redemption price discounted at investors required rate of return (=kd = yield to maturity)
yield to maturity =
100 treasury note, 4%, trading at 98
ytm = 104/98
Semi annual Interest payments (bondhodlers cost of debt)
(1+semi annual cost)^2-1
Bond duration - impact of changes in interest rates on market prices
if market interest rates increase,market price of bonds will decrease.
Bond prices fall when market interest rates rise because existing bonds become less attractive compared to new bonds.
Bond prices fall when market interest rates rise because existing bonds with lower fixed coupons must drop in price to offer investors the new higher required return.
Maculay vs modified duration
helps investors understand when they can expect to receive the bond's principal and interest payment
modified duration = approx. percentage price change in a bond for a 1% in yield
maculay duratin / (1+YTM)
Term Strucutre of Interest Rates
Explain:
- Expectations theory
- liquidity preference theory
- market segmentation theory
- risk
- Expectations theory
- if IR are expected to increase, the curve is normal (Yield increases with years to maturity). If IR are expected to decline, the curve may invert
- liquidity preference theory
- by investing for a longer period, investor is deferring his consumption and requires a higher yield as compensation
- market segmentation theory
- if few investors seek to invest long term but many borrowers wish to borrow long term,the price of long-term money will be high and the yield curve will be upward sloping
- different types of market participants (e.g. individual investors, institutional investors) influence varying segments of the yield curve (e.g. pension funds typically invest long term)
- risk
- risky debt will have a higher yield at all terms to maturity, than risk-free government debt. therefore there will be a different yield curve for each class of debt by risk
- default risk may be more significant on corporate debt, the corporate yield curve may rise more steeply than the government yield curve
When can WACC be used?
when a project does not change the companys:
- Gearing level (financial risk)
- Operational risk (business risk)
which methods exist to calculate the cost of equity? and what is cost of equity also called
Ke= required rate of return
Methods = DVM & CAPM
Business risk vs Financial Risk
Business Risk
- Volatility of operating profit/CF due to the nature of the industry, country and level of OPERATIONAL gearing (fixed vs. variable costs)
Financial Risk
- ADDITIONAL variability in the return to equity due to debt (financial gearing). Interest on debt is a fixed cost, which leads to more volatile profits for shareholders
what happens when a company introduces debt into its capital structure?
Ke increases due to the increased financial risk: debt = fixed cost increases = profit for shareholders reduces.
debt is riskier when you're not profitable
-> pushes up WACC
proportion of debt relative to equity increases. since kd<ke this pushes WACC down
Modigliani and Miller without and with Tax
Without tax
- introduction of debt increases Ke due to gearing
- WACC remains same because Ke offsets cheaper cost of debt
- Kd remains constant because financial distress risk is ignored
- Conclusion: value of company with and without gearing is the same. only investment decisions affect value of company. NOT finance decisions
- not true in practice
- (indicates no optimal gearing level)
with tax
- ke increases
- WACC reduces because of the tax shield
- Kd remains stable, ignores financial distress risk
- Value of company geared is higher than ungeared
which valuation methods should be used if project doesnt have same business risk or project has impact on gearing?
Adjusted WACC
CAPM for cost of capital
Adjusted Present Value
Static trade-off Theory
suggests that a company aims to balance relative costs and benefits of debt to determine optimal strucuture
- relevant benefits: tax savings on interest payments which reduces overal cost of capital
- costs of debt:
- agency costs: debt contracts might include restrictive covenants which can result in loss in potential shareholder wealth
- financial distress cost: if stakeholder perceive level of gearing as dangerous, this can have impact on company
- bankrupcy costs
Unsystematic vs. systematic risk
- Unsystematic risk
- diversifiable risk
- risk unique to a company/industry
- systematic risk
- market risk
- impacts entire market and cannot be controlled or diversified away
total risk = systematic + unsystematic
- through more shares in portfolio, the unsystematic risk is diversified away & total risk reduces to approach systematic risks
investors should be rewarded only for risks they cannot avoid = systematic risk
general expectation is that most shares are held by institutional investors that hold a diversified portfolio. therefore CAPM states that companies should specialise and only need to compensate shareholders for the systematic risk they face
its also cheaper for shareholders to maintain a diversified portfolio of shares than for a company to hold a diversified portfolio of projects
Equity beta vs asset beta
Equity beta = when a company is geared. reflects systematic business risk & financial risk of a share
Asset beta = when a company is ungeared. reflects only systematic business risk
process to calculate different discount rate for different risks
- calculate asset beta of a proxy with their equity beta
- solve for equity beta with financial structure of own company
How to calculate Adjusted Present Value
- Base case NPV
- operating CF
- take equity beta of benchmark company and calculate asset beta
- calculate Ke in CAPM with asset beta
- PV of adjustments
- Issue costs of debt
- Tax shields of interest payments - PV discounted at cost of debt
- Subsidies benefit - PV discounted at cost of debt
Hard vs soft capital rationing
Hard = capital markets impose limits on amounts of finance available
soft = company sets internal limits on finance availability
IRR vs. MIRR
MIRR formula items
IRR implies that CF from a project can be reinvested at IRR itself
MIRR assumes that CF are reinvested at companys required rate of return
PVr = present value of project returns
PVi = PV of investment outlay
re = reinvestment rate = required rate of return = cost of capital
Project Duration
Indicates the time it will approximately take to recover half of the present value of the project
(Earlier CF are discounted less, later CF are discounted more)
Modified duration (Project)
measures sensitivity of the value of a project to a change in IR
Maculay duration / 1+WACC
standard deviation vs variance
variance = σ2
standard deviation = σ
Value at Risk
an indication of the potential monetary loss likely to occur at a given level of confidence.
Confidence level = proability that a portfolios losses will not exceed a specific max. amount
Project VaR = N(conf. level) * s * T^1/2
Where:
- N (confidence level) is the number of standard deviations from the mean for the given confidence level
- s is the annual standard deviation of the project's returns
- T is the number of years of the project.
Which types of methods of valuations may be considered to value a company?
- Asset valuation (Asset-Liabilities)
- Relative valuation
- Cash flow valuation
- DVM
- Free Cash Flow