FM Flashcards
What are internally generated funds advantages and disadvantages?
Pro:
Readily available
Low cost
Immediate
No change in control
Cons:
May impact dividend policy or funds may not be available
Pros and cons of a rights issue
Pros:
-Usually at a discount so increases attractiveness as well as protecting against a share price drop
-Issue costs are lower than for a new issue and easier pricing as no wealth is shared with new investors
-No change in control
Cons:
Shareholders may not invest which can be particularly troublesome for unlisted companies
New issue pros and cons
Pro:
The finance is usually attained somewhere commonly through public offering
Cons:
Loss of control
Can have very high issue costs and needs approval from existing shareholders + pricing is difficult
Offer for sale vs direct offer/offer for subscription
Offer for sale is company a to issuing house to investing public
Direct offer is straight to public
What is underwriting
Service for a fixed fee to agree to purchase any shares not sold be a company (providing insurance incase of a failed issue)
Explain VC
Think dragons den
Usually expect a large shareholding and place on the board with the ability to advise management, mainly pays return in Cgt in 3-5 years
Failure to hit targets can lead to shares transferred to the VC at no extra cost (known as an equity ratchet)
Crowdfunding pros and cons
Think seedrs
Pros:
good for startups that don’t have trading history and provides business awareness to attract customers , can be quick
Cons:
Fee is payable to the site used and also legal/advisory costs as well as admin cost of dealing with requests for extra info
What is an initial coin offering (ICO)?
Similar to an IPO but payment is crypto and an investor receives a token which represents a share or entitlement to a product or service
Receive money through issuing a white paper
Basically crowdfunding with crypto (seedrs)
Recognised as securities therefore likely to meet regulatory criteria and be less popular
Pros and cons of term loans
Loan from a single lender (usually a bank) which has to be repaid with interest at fixed period including a final repayment date-think generic loan)
Pros:
Arrangement fees are small compared with issue costs of loan stocks
May have either fixed or floating interest charges and interest most likely attracts tax relief
Cons:
Usually secured on company assets so likely to rely on having a strong balance sheet
Pros and cons of loan stock (debentures)
Loan stock is a method of borrowing small amounts from many lenders certifying the value of the loan (always £100 but bond can be at premium or discount), coupon rate (interest rate paid as percentage of £100 nominal), interest payment dates (usually 6 months) for redeemable debentures-redemption value and date
Pros:
Can be unsecured
Loan stock can be sold so more attractive to investors due to flexibility
Flexible in that they can be redeemable or irredeemable and can be at a premium or discount
Can also be offered with conversion rights or warrants
Cons:
High issue costs and usually higher interest than a term loan
Convertible loan stock pros and cons
Convertible to equity
Pros:
Lower interest rates and potential to avoid redemption cash flow problems
Cons:
Entitlement of ordinary shares could dilute equity
Loan stock with warrants pros and cons
Entitle sub for ordinary shares at predetermined price at set future date
Pro:
Encourages individuals to invest in debt finance
Peer to peer lending pros
Pros :
Usually lower interest rates due to increased competition between lenders and usually quicker to arrange and more accesible for companies with low credit ratings
Green loan principle (GLP)
Based around 4 competencies:
Use of proceeds
Process for project evaluation and selection
Management proceeds
Reporting
What is the efficient market hypothesis
Wb behaviour finance?
Basically says market can be weak (slow reacting to new info and based on past share price movements), semi strong (reacting to public and past but not insider) and strong is everything and instantly moving
Market is at least weak but isn’t strong, but can’t just be weak and can’t just aimlessly follow patterns and stocks tend to account for new info public once available around 5-10mins
Conclusions are that shares are fairly priced so a purchase is a zero NPV transaction, that investors cannot consistently beat the market without insider info and managers should invest in positive NPV projects to undress shareholder wealth
Behaviour finance can cause market inefficiency due to:
Overconfidence and miscalc-investors overestimate ability’s and the accuracy of their forecasts and also tend to overestimate the likelihood of unusual events and underestimate the likelihood of common ones
Conservatism and cognitive dissonance-investors tend to be resistant to change and will continue to believe even with evidence of contrary
Availablity bias and narrow framing-investors pay attention to one fact more than they should and can lead to overreliance on this
Representativeness and extrapolation expectiation-investors have a tendency to assume history will repeat itself and also buy shares if price has risen and sell after prices have fallen
How to calculate the ex-issue or ex-rights price=
(MV of shares already in issue + proceeds from new share issue + project NPV*)/number of shares are issue
If no info on NPV provided assume =0
The theoretical value of a right=
The ex rights price-the exercise price of the right
This is if an existing shareholder does not want to take up the right to buy new shares then this can be sold at the theoretical value given above
Current vs money cash flows
Current exc inflation
Money is inc inflation
A 4-year project will generate sales of £1,000 per year in current terms but these are expected to experience inflation of 5%.
Costs in year 1 are expected to be £600 but will then inflate by 10%.
Tax is at 25%.
The real discount rate is expected to be 8%, but investors are expected to be suffering general inflation of 3%.
Required:
Calculate the NPV of the project.
Money discount rate is 1.08*1.03=11.24%
10001.05-600=450 less 25% tax=337
10001.05^2-6001.1=442 less 25% tax=331
10001.05^3-6001.1^2=432 less 25% tax=324
10001.05^4-600*1.1^3=417 less 25% tax=313
Discount at 11.24%=1009 NPV
How to use real @ effective method for accounting for inflation?
This method is a short cut for the money method. It can be used for perpetuities or
long annuities.
Cash flows are left in real terms.
A specific ‘effective’ discount rate is calculated for each given cash flow.
The effective rate is given by:
1 + effective rate = 1 + money rate/(1 + specific inflation rate)
Benefits of understanding environmental costs
Including these within the costing system will allow for better pricing decisions
Managing and controlling these costs may avoid fines and save money
Regulatory compliance
Environmental cost types
Conventional costs – the costs of using raw materials, utilities, capital goods
and supplies
Potentially hidden costs – these costs tend to be ‘hidden’ in general overheads
rather than separately classified
Contingent costs – costs to be incurred at a future date, due to their uncertainty
a prediction may be required using probabilities (Expected Values – chapter 3)
Image and relationship costs – costs incurred to improve corporate image.
Storm Ltd is evaluating project X, which gives expected net cash flows of
£20,000 per annum for the next three years expressed in current terms.
However, these are expected to rise by 10% per annum. The real cost of
capital is 8%, the general rate of inflation is 6%.
(a) Find the NPV of the cash flows by discounting the money cash
flows.
(b) Prove that the same NPV can be calculated using the effective
method.
T1 -20k1.1
T2-20k1.1
T3-20k*1.1
1.08*1.06=1.1448 ie 14.48% money rate
=NPV 55429
b) effective rate is money rate/inflation rate so
1.1448/1.1-1=4.07% —use this as discount factor then on 20k yo get NPV of 55460
NPV function =
NPV(discount rate, cell range)
NOTE!! The NPV function assumes the first cell is a cash flow in year 1. To calculate the final NPV the net cash flow in year 0 will need to be included to this result.
Finding optimum economic life of an asset formula:
The method can be summarised as follows:
1 For EACH possible economic life, calculate the NPV of a single asset cycle.
2 The NPV of each option is then converted into an ‘Equivalent Annual Cost’.
This is the equal annual cash flow (annuity) to which a series of uneven cash flows is equivalent in PV terms. It is calculated as:
Equivalent annual cost = (PV of costs/Annuity factor)
3. LOWEST EAC wins
Assumptions and limitations of replacement analysis. (3)
The technique assumes that:
the cost of the asset will not be subject to inflation
the operating efficiency of assets different ages will be similar – in practice, new technology and/or obsolescence will mean that regular
replacement is preferred
The asset will be replaced in perpetuity or at least into the foreseeable future – in practice, products and therefore the assets required for their production usually have a finite life cycle.
How to deal with capital rationing for infinitely divisible projects
If they are infidently divisible this means we can obtain part NPV for part investment, treat as limiting factor analysis
Projects should be ranked according to the NPV earned per £1 invested in the cash-restricted period.
Funds should then be applied to the projects in ranking order until they aregone.
How to deal with capital rationing for indivisble projects?
These are projects where you can either do the project or not to ahcieve 100% NPV or nothing,
Where projects cannot be done in part, the optimal combination can only be found by trial and error
What are other considerations aside from NPV in deciding on a project (4 options given)?
NPV analysis does not take account of the strategic value of a project.
A superior analysis would therefore be:
Worth of a project = Traditional NPV + Value of any associated
options
Options would include:
Follow on options-ie what a project could allow to do next each one project to porduce a product could allow production of another product in the future
Abandonment options- eg considering 2 porjects one requires low resale value fixed asset investment, the other land but has a lower NPV -although it does the land presents a good abadnoment option if decide against project
Timing options -E.g. A firm is looking at two projects. The first has to be started now; the second can be started at any point in the next five years.
Growth options-E.g. A firm is looking at two projects, one requires a full commitment now, the other allows it to start with a small capacity but to expand later on if the market conditions are right.
What are value drivers? What are the 7 main?
Factors that enhance the NPV of the expected future cash flows (known as value drivers).
Five that impact the size of the future cash flows:
– sales and growth in sales (maximise)
– margin (maximise)
– investment in fixed assets (minimise)
– investment in working capital (minimise)
– tax (minimise).
Two that impact their NPV:
– discount rate (minimise)
– length of time that detailed future plans are available for (maximise).
Investing overseas considerations for a project. (4)
-Market attractiveness
For example, GDP and forecast demand in the region.
-Competitive advantage
Do we have experience and understanding of this and/or similar markets?
-Political risk
Is political or government action likely to affect value. This might include:
– import quotas and/or tariffs
– legal restrictions on products
– restriction on foreign ownership
– enforced nationalisation.
-Cultural risk
Differences in culture and business behaviours in a foreign country.
risk vs uncertainty and investors.
– risk – quantifiable, where probabilities are known (e.g. a roulette wheel)
– uncertainty – unquantifiable – outcomes cannot be mathematically
predicted (most business decisions).
All investors view risk differently. However, we assume in FM that
investors are rational and risk averse.
Risk averse means that:
investors demand an increase in return for an increase in risk or
if two projects offer the same expected return, the one with the lower risk is preferred.
Even risk averse investors will have different attitudes to risk. Some will need greater levels of compensation than others for the same level of risk.
Methods of addressing uncertainty in business.(5)
-sensitivity analysis
-minimum payback period
-prudent estimates of cash flows
-assessment of best and worst outcomes
-higher discount rates.
Limitations of expected values
discrete outcomes
subjective probabilities
ignores risk
not a possible outcome, so less applicable to one-off projects.
What is a sensitivity?
Sensitivity = the % age change in an estimate that gives an NPV of nil.
How to calculate sensitivities on factors
affecting cash flows
E.g. price, volume, tax rate
What about when factoring in tax?
NPV of the whole project/NPV of the cash flows
affected by the change
Where corporation tax has to be considered, the principle is the same, but care must be taken to include the tax effect:
Sensitivity = NPV of the whole project/NPV of the cash flows affected net of tax
How to calc sensitivity for the discount rate?
Difference between
the cost of capital and
the IRR
How to calc sensitivity for the project life?
Discounted payback
Limitations of sensitivity analysis.(3)
assumes variables change independently of each other
does not assess the likelihood of a variable changing
does not identify a correct decision.
What combats sensitiviy analysis limitiation of only looking at one variable in isolation?
Monte carlo simulation, looks at many variables at once by using different factors in different quantiities thus producing a simulation environment (usually a probability distribution)
Simulation can also assist with environmental risk analysis by giving more information about the impact of environmental costs on new ventures.
However these can be time consuming without appropriate software or complex and can cost a lot, also requires assumptions which may be unreliable
predictive vs prescriptive analytics
predicitive eg decision trees or linear regression
prescriptive is the above combined with AI and algorithms to come up with solutions based on the data analysis
Different biases that exist in data analysis.(6)
-Selection bias – sample selection does not represent the population
-Observer bias – the researcher allows their assumptions to influence the observation
-Omitted variable bias – key data is not included in the analysis
-Cognitive bias – the presentation of data may be misleading
-Confirmation bias – people see data that confirms their beliefs and ignore other items
-Survivorship bias – the sample contains only items that survived a previous event, which misses a significant part of the picture by not analysing the failures.
Explain the portfolio effect
As long as the investments’ return profiles differ to at least some degree, then risk will be reduced.
Initial diversification will bring about substantial risk reduction as additional investments are added to the portfolio.
However, risk reduction slows and becomes insignificant once 15 – 20
investments have been combined. i.e. not all risk can be eliminated by diversification.
systematic vs non-systematic risk
The risk a shareholder faces is in large part due to the volatility of the company’s earnings. This volatility can occur because of:
Specific (or non-systematic) risk – company/industry specific factors.
Systematic risk – market wide factors such as the state of the economy.
Systematic risk will affect all companies in the same way (although to varying degrees). The specific non-systematic factors will impact each firm differently depending on their circumstances.
By diversifying, an investor can (almost) eliminate specific unsystematic risk, but cannot alter the systematic risk of the portfolio.
Implications of the diversification and portfolio effect.(2)
Because investors in listed companies
are ALREADY fully diversified, they
do not suffer specific risk. Therefore,
in estimating their required return they
ONLY need to be compensated for
SYSTEMATIC risk.
When directors of listed companies
are making strategic decisions, they
SHOULD NOT try to reduce risk for
their shareholders by diversification.
This is because the shareholders are
already diversified and therefore
cannot reduce their risk any further.
The capital asset pricing model (CAPM)
The CAPM is a way of estimating the rate of return that a fully
diversified equity shareholder would require from a particular
investment.
It does this by considering the level of systematic risk of the investment compared to average.
The CAPM line is given in the form of an equation:
Rj = Rf + ß (Rm – Rf)
where:
Rj = required return from an investment
Rf = risk free rate – assumed to be the rate on Treasury Bills
Rm = average return on the market
(Rm – Rf) = equity risk premium
ß = systematic risk of the investment compared to market and therefore amount of the premium needed.
Problems with the CAPM.(4)
Estimating Rm: In practise this is usually done using historic rather than expected future returns.
-Estimating Rf: Gilts are not risk free, and returns on gilts will vary with the term of the bond.
-Calculation of beta: Betas are calculated using statistical analysis of the difference between the market return and the return of a
particular share or industry. There is plenty of research to
show that this is too simplistic a way to estimate risk, and that
risk premiums are made up of multiple different factors rather
than just one single ‘market’ factor.
-In addition, it is important to remember that beta takes account of SYSTEMATIC risk only, and therefore assumes that shareholders are FULLY DIVERSIFIED.
Use of the CAPM equation.
The CAPM equation is commonly used to find the required return from a project in situations where the project has a different risk profile from the company’s current business operations.
Investors will also review these results to determine which shares to invest into. If returns from a company are currently higher than the CAPM return, then investors will be attracted to these shares. This is said to have a positive alpha value, where the alpha value is calculated as the difference between the current return and the
CAPM return.
Note: this is likely to be a short-term issue, as the additional attraction of these returns will cause the share price to increase and hence the returns will be more reflective of the CAPM return.
G plc. is an all equity company. The current average market return being paid on risky investments is 12%, compared with 5% on Treasury bills. G plc. has a beta of 1.2.
What is the return that would be required on projects by G plc?
Required return = Rf + ß (Rm – Rf)
Rj = 5 + 1.2 (12 – 5) = 13.4%
WACC formula what does it calculate?
(MVeKe + MVpKp + MVd*Kd)/(MVe+MVp+Mvd)
The average return required for investors, to be used as discount factor for project appraisal etc.
Return based on equity, pref or debt investor
Equity is a constant or gorwing revenue stream to pay the dividend, pref is fixed revenue stream, debt is fixed interest or repayment or interest in perpetuity for irredeemable debt
When is it appropriate to use WACC as a discount rate for a project? (3)
If the proportions of debt and equity (gearing) are NOT going to change over the life of the project. If the gearing changes, then the WACC itself will change – and another approach (the APV approach, described in Chapter 6) is used.
-If the level of risk is NOT going to change. The company’s current ke is dependent on the current level of risk the shareholders are suffering – which will depend on the type of business that the company is in. If the new project is in a different business sector to the existing operations, then the level of risk (and therefore the ke) may be different. In Chapter 6 we will see how the CAPM is used to calculate ke in this situation.
-If the finance is NOT project-specific. The WACC utilises several different types of finance in order to calculate an average. If we use only one method of finance to invest in the project, then an average is not required and we will need to use an alternative approach, such as APV (chapter 6).
Assumptions when using the dividend valuation model (4)
A perfect market is operating to ensure that the share price is the present value of the future dividends discounted at ke. (In practise this will only be true if the shares/debentures are listed).
Dividends are paid only once a year (and either have just been or are just about to be paid. (In practise, a company will often pay interim dividends). Dividend growth is expected to be reasonably constant and predictable (In practise dividends may be non-existent or at best erratic).
If using historic dividends to predict growth – then we are assuming that the past is a good guide to the future (If circumstances change – for example the company getting a listing, this may not be true).
If using the earnings retention model to predict growth we are assuming that both the rate of return and the retention rate will remain constant over time (again, this may not be true if circumstances change).
Some limitations of WACC. (2)
Ideally we should only be using permanent long term sources of finance in the calculation of WACC (equity, prefs, debentures, loans), but arguably, some companies use overdrafts, leasing and even trade creditors for finance over long periods of time. Although we would not conventionally include these as part of our WACC calculation, there is no doubt that they could affect the true cost of capital.
Calculating a WACC for a small, unquoted company is very difficult, because there are no market values to obtain accurate returns and the small size usually results in more expensive finance.
Ke formula:
(D0*(1+g))/P0 + g
eg
A company has just paid a dividend of 20p. The company expects dividends to grow at 7% in the future. The company’s current cost of equity is 12%. Calculate the market value of the share.
201+0.07/P0 +0.07=12% therefore
P0=(201.07)/(0.12-0.07)=428p=£4.28
P plc has just paid a dividend of 10p. Shareholders expect dividends to grow at 5% per annum. P plc’s current share price is £1.05 ex div.
Calculate the cost of equity of P plc.
Ke=D(1+g)/P0 + g
=10(1.05)/1.05 +0.05
=15%
What does the formula for Ke assume about P0.(1)
that is is the ex rights price (immediately following a dividend)
Therefore in exam if given cum div price need to adjust to get the ex div price by removing the dividend from the cum div price
Donaldson Press plc is about to pay a dividend of 15p. Shareholders expect dividends to grow at 6% per annum. Donaldson Press plc’s current share price is £1.25.
Calc Ke
15p*(1.06)/(125-15) + 0.06=20.5%
What are the two methods for estimating dividend growth?(2)
Historic method , using excel can be calc as:
g =POWER (most recent value/oldest value, 1/number of periods of growth) – 1
or g= (D0/Dn years ago)^1/n - 1
Gordons growth model : g=r*b r is ARR b is earnings retention rate
Gordons growth model formula: (3)
g= r*b
Where:
r is the ARR ie earnings/opening shareholders funds
b is earning retention rate ie retained profit for the year/earnings
What is a big assumption for Kp and Ke
A perfect market
How to calc Kp
D/P0 as they dont grow over time
eg
A company has 50,000 8% preference shares in issue, nominal value £1. The current ex-div market value is £1.20/share.
What is the cost of the preference shares?
Kp=D/P0=8/120=6.7%
basic assumption for Kd calc
That current price=Present value of the expected future income
discounted at the investor’s required return
holds true for debt as well as equity. However, the income stream from the investment depends on whether the debt is irredeemable or redeemable.
Note: if a price has been given as cum-interest or interest is ‘due to be paid shortly’ then the interest should be deducted from the market price to give the ex-interest price.
For irredeemable debt the assumption becomes:
price of debenture=Present value of the future interest stream
received in perpetuity discounted at the
investor’s required return
Formula for valuing a debenture. How do you adjust this for tax?
r=i/P0
where i is annual interest starting in one years time
r = debt holders’ required return, (known as the ‘yield’)
We therefore get Kd by factoring in tax shield that comes from debt finance therefore formula becomes
Kd=(i*(1-T))/P0
A company has irredeemable debt currently trading at £40 ex interest. The coupon rate is 5% and the rate of corporation tax is 25%. What is the cost of debt to the company?
Kd=i(1-T)/P0
5%(1-25%)/40=9.4%