1. Concepts and Tools Flashcards

1
Q

Cost concepts: What is cost?

A

The amount paid in cash or other resources for a good or service.

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2
Q

Cost concepts: What is expense?

A

The portion of cost that relates to the portion of a good or service that has been used up.

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3
Q

Cost concepts: Do cost and expense occur at the same time or different time?

A

Both.

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4
Q

Cost concepts: What is sunk cost? How is it relevant?

A

Costs of resources that have been incurred in the past and can’t be changed by current or future decisions.
Not relevant for decision making.

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5
Q

Cost concepts: What is opportunity cost?

A

Discounted dollar value of benefits lost from an opportunity not taken as a result of choosing another opportunity.

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6
Q

Cost concepts: what is the relationship between opportunity cost and actual cash flow?

A

Opportunity cost does not involve actual cash flows, but relevant to current decisions.

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7
Q

Cost concepts: what is differential costs? When the cost is the same between 2 alternative, how relevant is it for decision making?

A

Costs that are different between 2 or more alternatives.

Not relevant.

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8
Q

Cost concepts: what is cost of capital?

A

Cost of LT funds - debt/equity - used to finance an operation.

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9
Q

Cost concepts: What are major LT sources of capital funding?

A

LT debt, preferred stock, common stock.

Cost associated with them is the cost of capital.

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10
Q

Cost concepts: what is cost of debt?

A

Rate of return that must be paid to attract and retain lenders’ funds.

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11
Q

Cost concepts: How is rate of return required determined?

A
  • Level of interest rate in general market
  • Perceived default risk of the firm
  • Perceived interest rate risk
  • Perceived inflationary risk
  • Longevity risk - length of debt etc
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12
Q

Cost concepts: Which one is considered more risky; debt or equity? How does this impact the required rate of return?

A

Equity.

Required rate of return on debt (cost of debt) is less than on preferred or common stock.

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13
Q

Cost concepts: What is cost of preferred stock?

A

Rate of return that must be paid to attract and retain preferred shareholders’ investment.

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14
Q

Cost concepts: what kind of characteristics does preferred stock have?

A

Characteristics of both debt and equity.

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15
Q

Cost concepts: How is pref. stock like debt?

A

Dividends expected and paid before common dividends

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16
Q

Cost concepts: How is pref. stock like equity?

A

Possible claim to additional dividends and priority claim to assets upon liquidation.

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17
Q

Cost concepts: Which one is more risky; pref. stock, com. stock, debt? How does it impact required rate of return?

A

Debt < Pref. stock < Com. stock

The required rate of return for pref. stock is more than debt, but less than com. stock.

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18
Q

Cost concepts: what is cost of common stock?

A

Rate of return that must be paid to attract and retain common shareholders’ investment.

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19
Q

Cost concepts: How is the rate of return for common stock determined?

A
  • Perceived risk of stock
  • Expected dividends
  • Expected price appreciation
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20
Q

Cost concepts: How is the rate of return required by each source determined?

A

By the opportunity cost each source has in the market for comparable risk.

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21
Q

Cost concepts: what does it involved to attract and retain each source of capital?

A

Require paying a rate of return at least equal to the next best available alternative rate in the market with comparable risk.

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22
Q

Cost concepts: what is a weighted average cost of capital?

A

WACC: Rate of return of each source of capital weighted by its share of the total capital.
Cost of each source consolidated for all element used by an entity.

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23
Q

Cost concepts: how is WACC computed?

A
  1. Percent of total capital is determined for each source
  2. Percent of each is multiplied by the cost of capital for that source of capital
  3. Resulting weighted costs of capital are summed to get the weighted average cost of capital
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24
Q

Cost concepts: WACC: when marginal tax rate is provided, how is the effective cost of debt? Why?

A

Because interest expense on debt is deductible for federal income tax purposes, interest saves taxes = the tax savings reduces the cost of debt financing.
The cost of debt = debt interest rate x [1 - tax rate].
Therefore, weighted cost of debt = weight x cost x cost of debt

25
Q

Cost concepts: what is incremental cost?

A

= differential costs.

26
Q

Time value: What is Present value (PV) of a single amount?

A

The value now - at the present - of a single amount to be received in the future.

27
Q

Time value: PV is single amount: Ex:
$50,000 to be received at the end of 1 yrs.
Discount (interest) rate = 6%. What is the $50,000 worth now (at present).

A

PV = Future cash flow / (1 + interest rate)

PV = 50,000/1.06=47,170

28
Q

Time value: What is FV of a single amount ($1)? What is the assumption re: interest?

A

The value at some future date of a single amount invested now.
Assume annual “compounding” (i.e. interest is earned on unpaid interest).

29
Q

Time value: FV of a single amount ($1): When compounding period is more than once a year, what is number of periods in year and what is interest rate?

A

Number of periods in year = number of compounding periods.

Interest rate = Annual rate / periods per year.

30
Q

Time value: FV of a single amount: Ex:
Compounding more than once a year.
5 years. 6%. Compounds quarterly.
On the table, what we must us; periods and rate?

A

Periods: 20 (5 years x 4 quarters per year)

1.5% (6% / 4 quarters per year).

31
Q

Time value: what is PV of ordinary annuity?

A

Value now (PV) of a series of equal amounts to be received at the end of equal intervals over future period

  • Annuity is sexiest of EQUAL dollar amounts (if amount not equal - Not annuity)
  • Ordinary annuity - received at the END of each period
32
Q

Time value: what is PV of ordinary annuity also called?

A

Annuity is arrears.

33
Q

Time value: what is FV of ordinary annuity?

A

The value at some future date of a series of equal amounts to be paid at the end of equal intervals.

34
Q

Time value: what is PV of annuity due? What is it also called?

A
Value now (PV) of a series of equal amounts to be paid at equal intervals with pmts at the beginning of each period.
Annuity in advance.
35
Q

Time value: when the exam asks annuity due, but gives a table for ordinary annuity, what should you do?

A

The first annuity due does not have to be discounted - Add 1 to the discount rate or add the dollar value of annuity without discount.

36
Q

Time value: what is FV of annuity due?

A

The value at some future date of a series of equal amounts to be paid at equal intervals with pmts at the beginning of each period.

37
Q

Time value: what is PV of perpetual annuity? Also called?

A
Value now (PV) of a series of equal amounts to be paid or received at equal intervals indefinitely into the future with pmts at the end of each period.
Perpetuity.
38
Q

Time value: PV of perpetual annuity: $5,000 with interest rate of 10%. What is PV?

A

5,000 / 10% = 50,000

39
Q

Interest concept: what are 2 types of interest rate types?

A
  • Fixed.
  • Variable : usually related to macroeconomic rate such as Fed rate or prime rate.
  • Changing bases: rate type change over the life of instrument (from fixed to variable and vice versa).
40
Q

Interest concept: what is stated interest rate? Examples? What does it not take into account?

A

Annual rate of interest specified (stated) in a contract.
Rate per loan agreement, bond coupon rate.
Compounding effects of frequency of pmts.

41
Q

Interest concept: stated interest rate: Ex:

Semi-Annual interest. Stated rate = 6%. What is the effective rate and why?

A

Effective rate = greater than 6% due to frequency of pmts (one-half of the interest is paid before the end of year)

42
Q

Interest concept: what is simple interest?

A

Interest computed on original principal only (no compounding).

43
Q

Interest concept: Simple interest. Ex:
2 year, $2,000 note @ 6% with simple interest paid at the end of borrowing period.
What is interest for year 1? Year 2?

A

$0 because no interest is paid in 1 year.

$2,000 x 6% x 2 yrs = $240.

44
Q

Interest concept: Compound interest?

A

Interest computed on principal plus accumulated unpaid interest (interest is paid on interest).

45
Q

Interest concept: Compound interest: Ex.
2 year, $2,000 note @ 6% compound interest annually, but paid at the end of borrowing period. What is the total interest?

A

Interest yr 1: 2,000 x 6% x 1 = $120
Year 2: (2,000+120) x 6% x 1 = $127.20.
Total: 120 + 127.20 = 247.20
*Compounding = $7.20 > than simple interest.

46
Q

Interest concept: What is effective interest rate?

A

Annual interest rate implicit in the relationship between the net proceeds of a borrowing and the dollar cost of that borrowing.

47
Q

Interest concept: Effective interest rate: computation?

A

(NET cost of borrowing / NET proceeds) / years

48
Q

Interest concept: Effective interest rate: Ex:

$2,000, 2-year note discounted @6%.

A

Discounted = interest deducted in advance.
Simple interest = 2,000 x 6% x 2 = 240
Net proceeds = 2,000 - 240 = 1,760
Effective interest rate = (240 / 1,760) / 2 = 6.82%

49
Q

Interest concept: What is annual percentage rate (APR)?

A

Annualized effective interest rate without compounding on a borrowing that is for a fraction of a year.

50
Q

Interest concept: APR: how is it computed?

A

APR = Effective interest rate for fraction of year x number of fractions in year.
OR
APR = (interest/principal) x (1/time fraction of year)

51
Q

Interest concept: APR: Ex:

$2,000, 90-day note discounted @6%.

A

Simple interest = 2,000 x .06 x (90/360) = $30
Effective interest rate = 30/1,970 = 1.52% for 90 days
APR = 1.52 x 4 (quarters) = 6.08%

52
Q

Which method is legally required interest rate disclosure in US?

A

APR.

53
Q

Interest concept: What is effective annual percentage rate (EAPR)? What is also called?

A

Annual percent rate with compounding on borrowing for fraction of year.
Annual percentage yield.

54
Q

Interest concept: Formula for EAPR?

A
EAPR = (1 + I/p) raised to the power of p - 1
I = annual stated rate.
55
Q

Interest concept: EAPR: Ex:

$2,000, 90-day note @ 6%.

A

(1 + 0.06/4)4 - 1 = (1+0.015)4 - 1 = 0.6136

56
Q

Interest concept: What is negative interest rate?

A

Interest rate terms under which the owner of funds pays a recipient interest to hold (and possibly use) the funds
*Conventionally, the owner receives interest for the use of the owner’s funds

57
Q

Interest concept: Negative interest: Examples?

A

*Central Bank (e.g. Federal Reserve Bank) would charge member banks interest to hold funds
*Commercial bank would change customers to hold money on deposit, rather than pay interest on those deposits.
Ex: Big bank charges a -5% interest rate on deposits made by its largest corporate customers. A client that deposited $1,000,000 would pay the bank $5,000 annual interest.

58
Q

Interest concept: what is real interest rate?

A

the stated (or nominal) rate of interest for a period less the rate of inflation for that period.