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5 Corporate Finance - Coggle Diagram
5 Corporate Finance
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R36 Measures of Leverage
Framework
- Basic concept of leverage
- Leverage
- Degree of operating leverage (DOL)
- Degree of financial leverage (DFL)
- Degree of total leverage (DTL)
- Breakeven quantity
- Breakeven quantity of sales
- Operating breakeven quantity of sales
Leverage and risk
Leverage
Definition
Leverage is the use of fixed costs, operating or financial, in a company's structure. It increases the risk and potential return of a firm's earning and cash flows
- Operating leverage results from fixed operating cost
- Financial leverage results from the use of debt financing and its associated fixed costs
使巧劲,四两拨千斤。用地好,高收益。
财务的角度,杠杆=fixed costs, 发生了固定成本。
- 经营杠杆,买了资产不生产,还有折旧费用。DOL
- 地摊和店面买卖,店面赚更多也亏更多,经营固定成本 房租/员工。放大收益/损失。
- sales% -> EBIT%改变,1%->2% 2倍杠杆
- Depreciation & Amortization 固定成本太高,需运营盈利,赚地多,不运营亏地多。
- 财务杠杆,借钱还利息 DFL degree of FL
- 一5千自由资金买卖,二借钱投资买卖,利息本金
- EBIT%->EPS%改变
- NI/F 股份数=EPS. EBIT固定成本=I利息。financial fixed cost DFL
DTL degree of total liability = DOL x DFL
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Operating leverage
Definition
- The degree of operating leverage can be regarded as the operating income elasticity, which is the percentage change in EBIT that results from a given percentage change in sales
- A quantitative measure of operating risk
Degree of Operating Leverage DOL: Sales -> EBIT%
Sales销量Q的改变,引起EBIT的改变。假设价格P不变,那么销量的变化影响E。
- 定义式考点,EBIT引起sales变动,反了。DOL一定是Sales->E
Sales改变引起EPS改变,是DTL total Leverage概念
Equation
- DOL = percentage change in EBIT / percentage change in sales = (∆EBIT/EBIT) / (∆Q/Q) , elasticity
- DOL = Q(P-VC) / Q(P-VC)-FC
= S-TVC / S-TVC-FC
Sales - Total Variable Cost (- Fixed Cost)
sales = PxQ,经营性杠杆,分母-经营性固定成本
- 如果公司没有经营性成本,=没有折旧费用,DOL=1 =没有经营杠杆。x变动1 y变动1 线性无杠杆。
- DOL最小1,没有运营成本。<1是错误答案。
Sales% X -> EBIT% y, slope= y/x
EBIT/Sales -> ∆EBIT/EBIT / ∆Q/Q ->
EBIT = PxQ - QxVC - FC (no Int Tax)
∆EBIT= Px∆Q - ∆QxVC (no FC, FC一直在,不被∆影响)
∆EBIT= ∆Q(P-VC), 除以∆Q/Q, ∆Q约掉,剩/1/Q=乘以Q => Q(P-VC)
∆EBIT/EBIT / ∆Q/Q = Q(P-VC) / Q(P-VC)-FC
= S-TVC / S-TVC-FC
Financial leverage
Definition
degree of FL
- The sensitivity of the cash flows available to owners when operating income(EBIT) changes
- A quantitative measurement of financial risks
Equation
- DFL = percentage change in EPS / percentage change in EBIT
= (∆EPS/EPS) / (∆EBIT/EBIT)
- DFL = EBIT / EBIT-interest
When interest is zero, DFL=1. There is no financial levearage
Total leverage
Definition
Degree of TL
- A measure of the sensitivity of net income to changes in the number of units produced and sold
- The ratio gives a combined effect on both operating leverage and financial leverage
Equation
- DTL = DOL x DFL
- DTL = %∆EBIT/%∆sales x %∆EPS/%∆EBIT x %∆EPS/%∆sales
- DTL = Q(P-VC) / Q(P-VC)-FC-I
= S-TVC / S-TVC-FC-I
Risk
Business Risk
Business risk is the risk associated with operating earnings (EBIT) and results from a combination of sales risk and operating risk
- Sales risk: the uncertainty with respect to the price and quantity of goods and services
- Operating risk: risk attributed to the operating cost structure, the greater the fixed costs relative to variable costs, the greater the operating risk
Financial Risk
Financial risk is reflected in the greater variability of EPS compared to the variability of operating earnings (EBIT), as a result of using debt in the firm's capital structure
When to Use
The use of debt in a company's capital structure
- Reduces net income due to the added interest expense
- Increase the rate of change (risk) for ROE
Whether to use leverage depends on
- Profitability 借钱收益
- Cost of the funds >借钱成本时,且风险可控
Breakeven analysis
盈亏平衡点
Breakeven quantity of sales (QBE): the level of sales that a firm must generate to cover all of its fixed and variable costs
QBE = fixed operating costs+fixed financial costs / price-variable cost per unit
P-VC is marginal contribution
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Operating Breakeven quantity of sales (QOBE)
- Calculated as breakeven quantity of sales but only consider fixed operating costs and ignore fixed financing cost
QOBE = fixed operating costs / price-variable cost per unit
Example
Suppose the cost structure of company Impulse Robotics is shown in the table below
Number of units sold | 100,000
Sales price per unit | $10
Variable cost per unit | $2
Fixed operating costs | $500,000
Fixed financing costs | $100,000
销售额达到保成本的数量 Correct Answer:
QBE = 500,000+100,000 / 10-2 = 75,000 units
QOBE = 500,000 / 10-2 = 62,500 units
The effects of leverage on net income
- Other things equal, a firm that chooses operating and financial structures that result in greater total fixed costs will have a higher breakeven quantity of sales
- Leverage of either type magnifies the effects of changes in sales on net income
- The further a firm's sales are from its breakeven level of sales, the greater the magnifying effects of leverage on net income
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Framework
- SS10 Corporate Finance 1
- R33 Corporate Governance and ESG: An introduction
- R34 Capital Budgeting 钱咋花
- R35 Cost of Capital 钱哪来
- SS11 Corporate Finance 2
- R36 Measures of Leverage
- R37 Working Capital Managing 短期花
FSA 财务报表分析,站在外部分析师的角度,去分析上市公司财务报表。Corporate Finance 企业理财,站在CFP chief finance office 首席财务官角度,对公司财务分析。要解决方面问题。
一 钱从哪里来?融资的来源,要么就是发债融资liability,要么发股票融资equity,要确定一个合适的比例。找低平均融资成本,对公司发展越有利。
二 钱来了,怎么花?长短期花法。LT capital budgeting 资本运算,企业一年,公司要去投资,周期在一年以上。ST 短期 working capital management 运营资金 = 流动资产-流动负债。
三 赚钱了,怎么分?无外乎两个。作为留存收益R/E,作为公司的再投资。2作为dividend作为股东的分红,分出去。放到了二级。
四 leverage,杠杆,企业借钱开始运作。双刃剑,用地好,放大收益。不好,放大损失。确定一个合理杠杆。财务风险~收益。
Corporate Governance 公司治理
R35 Cost of Capital
钱从哪里来
Framework
- Weighted average cost of capital (WACC)
- Component cost of capital
- Calculating WACC and its componenets
- Target capital structure weights
- Project's and non-public company's beta
- Country risk premium
- Optimal capital budget
- Flotation cost
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WACC 加权平均资本成本
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Where:
- t is the firm's marginal tax rate
- w is the proportion of each type of capital, all the components are using market value when competing weightings
- r is the current cost of each type of capital
The priority sequencing of choosing capital structure
- The company's target capital structure
- The trends in capital structure
- The company's current capital structure
- The average of comparable company's capital structure
determine weights
Fran McClure of Alba Advisers is estimating the cost of capital of Frontier Corporation as part of her valuation analysis of Frontier. McClure will use this estimate, along with projected cash flows from Frontier's new projects, to estimate the effect of these new projects on the value of Frontier. McClure has gathered the following information on Frontier Corporation
Current Year | Forecasted for Next Year
Book value of debt $50 | $50
Market value of debt $62 | $63
Book value of equity $55 | $58
Market value of equity $210 | $220
Correct Answer:
The weights that McClure should apply in estimating Frontier's cost of capital for debt and equity are
Wd = 0.223, We =0.777, respectively
优先选择 MV > BV, Forecast > Current,确定$63 $220
ധd= 63 / 220+63 = 22%, ധe= 220/ 63+220 = 78%
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讲解
一个公司的融资成本,用WACC来衡量,加权平均资本成本。
公司的融资来源,1发债 2发股票 3发优先股
- 加权平均= 债务比率先x债务的融资成本 + 股票的融资比例x成本
- 利息费用有10%,利息是税前列支,有效的利息费用(1-t)税盾的效果。
- WACC可作为公司最低的要求回报率 =运营公司的成本。
- 比如说成本10%,收益率要是8%,那么经营这个公司反而是亏钱的。
- WACC可折现公司自由现金流, 折现FCFF -> 企业价值
- FCFE 股东自由现金流,股东的要求回报率进行折现
- 折现率越低,折回来的现值越高,=公司越有价值。
求WACC
WACC = (ധd)[rd(1-t)]+(ധps)(rps)+(ധce)(rs)
- rd债券的回报率 re股东的回报率 rps优先股的回报率
- 权重ധd ധe ധps
ധd = D / D+E, ധe = E / D+E
- Book Value, Market Value, 优先用MV, 特别是股票。股票账面价值BV=股票刚发行时的钱,账面股本往往是1块钱。
- Current ധd40%, ധe60% 统称capital structure 公司资本结构。
Target Capital structure 目标资本结构,二级在当前TCS上,我可以实现我的WACC最优结构=最小,成本越低越好。
根据M理论,ധd60%, ധe40% 最优资本结构 WACC最小。
- 题目当中算WACC的时候,优先用TCS,因为WACC是用来折现公司未来FCFF。0 FCFF1 FCFF2 ..FCFFn,把每年公司产生的自由现金流,统统折现到零时点,得到零时企业价值。目标资本结构是未来的目标,FCFF是未来现金流,对应的都是未来。
- 定位价值,优先顺序:1 target 2 Forecast/Trend预测趋势(比如债务比率越来越小,股权比例越来越大) 3 current 4 comparable 可比较公司(一般不会到这一步,误差很大)