lecture 7 Flashcards

1
Q

how to reduce the uncertainty of future cash flows using a probabilistic approach?

A

with the standard deviation

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

Risk Adjusted Discount Rate (RADR)

A

sum total of the risk-free rate and the risk premium

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

CAPM is relevant for the security market, but is it relevant for capital budgeting projects?

A

yeee bruuuv

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

SML is relevant for selecting securities, but is it relevant for selecting capital budgeting projects?

why?

A

yeee bruuuuv

we can use SML to determine the discount rate

–> each project should be evaluated with its own cost of capital

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

when do we accept using the SML project?

A

when it lies on the SML or above

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

when do we reject using the SML project?

A

when it lies below the SML

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

when do we use the WACC as the discount rate?

A

the appropriate discount rate for capital budgeting only if the project evaluated has the same risk as that of the firm as a whole

–> both financial risks and business risks of the project and company must be similar

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

when is a project j acceptable using the SML

A

When ERj (kj) = or > than RF + Bj · (ERM - RF)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

when can we ensure that the beta of a project is the same as the beta of its firm

A

Financial Risk of Project = Financial Risk of Company

Business Risk of Project = Business Risk of Company

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Financial Risk of Project = Financial Risk of Company

A

the debt/equity ration after accepting the project should remain the same as before

risk due to leverage (borrowing) as D/E increases

measured by degree of financial leverage

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Business Risk of Project = Business Risk of Company

A

the level of fixed assets for the project compared with total assets must remain approximately the same as before the project’s acceptance

–> measured by degree of operating level

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

when a company uses WACC for discount rate, what do they tend to do when using the SML too?

A

they tend to do incorrect acceptances and rejections

say a project only needs 12% as a discount rate using the SML but actually achieves a 14% return

–> company that uses a WACC of 15% would incorrectly reject it because 15% > 14% even though the project is sexy as fuck

say a project only needs 17% as a discount rate using the SML but actually achieves a 16% return

–> Using the WACC of 15% would tell us to incorrectly accept it because 16% > 15% even tho the project is trash

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

formula for the Beta of equity

A

Beta of project · (Beta of project - Beta of debt) · D/E

but since debt is usually quite small and future cash flows from debt are know ahead of time

Beta of equity = Beta of project · (1 + D/E)

–> Beta of equity will increase as the D/E increases

Beta of equity will increase as the Beta of project increases

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

what is the risk shareholders face

A

risk due to leverage (debt level)

–> risk due to leverage (borrowing) as D/E increases

–> measured by degree of financial leverage

risk due to level of capital employed (level of fixed assets)

–> business risk

–> measured by degree of operating level (D. O. L.)

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

degree of operating level (DOL) formula

A

DOL: ((P - VC) · Q) / ((P - VC) · Q) - TFC)

P: Price per unit

Vc: variable cost per unit

TFC: total fixed cost

so when TFC increases, so does the DOL

–> higher level of fixed assets, higher TFC, higher business risk for a firm

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

degree of financial leverage formula (DFL)

A

DFL: EBIT / (EBIT - I)

or

(Q · (P - VC)) / (Q · (P - VC) - TFC - I)

I: interest payments

–> as interest payments increase, so does the DFL

—-> risk increase for shareholders

17
Q

degree of total leverage (DTL)

A

the total risk of a firm

Business Risk and Financial risk

18
Q

degree of total leverage (DTL) formula

A

((change in EPS) / EPS) / ((Change in Q) / Q)

or

DOL · DFL

19
Q

so when does the beta of equity increase

A

increases with the firm’s business Risk and Level of fixed assets

increases with the firms level of debt (Financial Risk)

20
Q

how do we calculate the Beta of a project j

A

(COV (j, M)) / σ^2M

21
Q

5 methods other than the RADR to adjust for project risk

A

1) certainty equivalent method (CEQ)
2) the subjective approval
3) sensitivity and scenario analysis
4) decision trees (real options)
5) Monte Carlo model

22
Q

certainty equivalent method (CEQ)

A

cash flow is certain (there is no risk)

investor would be happy with the RF as a discount rate

CEQ / (1 + RF) = PV = C1 / (1 + k)

(1 + k) / (1 + RF) = C1 / CEQ

(1 + k) / (1 + RF) > 1

C1 > CEQ

CEQt = Ct · ((1 + RF) / (1 + k))^t

PV = (at · Ct) / (1 + RF)^t

at = CEQt / Ct = ((1 + RF) / (1 + k))^t

23
Q

certainty equivalent method (CEQ) various formulas

A

PV = CEQ / (1 + RF) = C1 / (1 + k)

(1 + k) / (1 + RF) = C1 / CEQ

(1 + k) / (1 + RF) > 1

C1 > CEQ

CEQt = Ct · ((1 + RF) / (1 + k))^t

PV = (at · Ct) / (1 + RF)^t

at = CEQt / Ct = ((1 + RF) / (1 + k))^t

24
Q

subjectively adjusted discount rate

A

discount rate adjusted based on rules of thumb

–> the greater the risk, the higher the adjusted discount rate, the lower the NPV

25
Q

subjectively adjusted discount rate formula

A

kj = WACC + Subjective Risk Premium

26
Q

when is the Subjective Risk Premium positive?

A

kj > WACC

27
Q

when is the Subjective Risk Premium negative?

A

kj < WACC

28
Q

what are the assumptions when using CAPM to find an appropriate discount rate of a project?

A

the Beta of the project is constant and know over the project’s life

risk free rate remains the same

market risk premium remains the same

29
Q

what do we do when the assumptions when using CAPM to find an appropriate discount rate don’t hold?

A

to apply different rates at different stages of a project’s life or to recast the problem into certainty equivalents

30
Q

what are the scenario and sensitivity analysis used for?

A

tools available to identify potential errors when calculating the NPV of a project

31
Q

scenario analysis

A

define a base case and then change certain variables to come up with different scenarios

ex: good or bad scenarios inspired by the base scenario

32
Q

sensitivity analysis

A

only one variable is changed each time

33
Q

decision trees

A

convenient way to set out possible consequences of future decisions

forced open the underlying strategy of a given project, revealing the ling between today and tomorrow’s decisions

–> help the financial manager find the strategy with the highest NPV

used in options

–> abandonment value

–> expansion value

34
Q

subsequent decisions

A

depend on those made today

35
Q

formula to find which level of EBIT would make the issue of bonds better than the issue of shares

A

((EBIT - I) · (1 - Tc)) / (# of shares outstanding with bonds issued)

=

((EBIT - I) · (1 - Tc)) / # of shares outstanding with more shares issued)