In Class Test Formulae Flashcards

1
Q

What is the formula for ARR?

A

average annual profit/average investment x 100

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2
Q

How is average annual profit calculated for ARR?

A

Total profit/no. years

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3
Q

How is average investment calculated for ARR?

A

Initial investment + residual value/2

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4
Q

How is future value calculated?

A

PV x (1+r)^n

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5
Q

How is present value calculated?

A

FV x 1/(1+r)^r

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6
Q

How is NPV calculated?

A

ΣCFi/(1+r)^i - investment costs

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7
Q

How is profitability index calculated?

A

NPV/Initial investment

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8
Q

How is IRR estimated?

A

r1 + NPV1 /NPV1 - NPV2 (r2 - r1)

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9
Q

How is the present value for a single cash flow calculated?

A

1/(1 + r)^n

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10
Q

How is the present value for an annuity calculated?

A

1/r (1 - 1/(1 + r)^n)

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11
Q

How is the present value for a perpetuity calculated?

A

1/r

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12
Q

How can the nominal rate be calculated if you have the real and inflation rates?

A

rNominal = ( 1 + rReal)(1 + rInflation) - 1

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13
Q

How can the real rate be calculated if you have the nominal and inflation rates?

A

rReal = (1 + rNominal) / (1+ rInflation) - 1

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14
Q

How can the inflation rate be calculated if you have the nominal and real rates?

A

rInflation = (1 + rNominal) / (1 + rReal) - 1

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15
Q

How is the sub annual rate calculated when there are p periods per year?

A

r = r Annual/p

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16
Q

How is the truly equivalent sub annual rate calculated?

A

r = p√ 1 + r (annual) - 1

17
Q

How is the value of rights per new share calculated?

A

(MV of share existing rights) - (subscription price)

18
Q

How is the value of rights per pre existing share calculated?

A

Value of rights per new share/No. of shares to buy one new share

19
Q

What is the second way of calculating the value of rights per pre existing share?

A

(MV of cumrights) - (subscription price) / no. shares to buy one new share + 1

20
Q

What is the formula for the constant dividend model?

A

Ke = d/S.oxd

21
Q

What are the formulas for the constant dividend growth model?

A

ke = d1/Soxd + g

or

ke = d0 (1 + g)/S.oxd + g

22
Q

What is the formula for the constant growth rate?

A

g = (n√Dt + n/Dt - 1

23
Q

How is the sustainable growth rate calculated?

A

(1 - PR) x ROCE

24
Q

What is the formula for the capital asset pricing model?

A

ke = Rf + βe (E[Rm] - Rf)

25
Q

What is the formula for the constant dividend model for preference shares?

A

kp = d/P.oxd

26
Q

What is the constant perpetual debt model?

A

kd = I(1-tc)/B.oxd (Kd after tax)

27
Q

What is the formula for WACC?

A

Ke (S/V) + Kp (P/V) + Kd (B/V)

28
Q

What are the formulas for M&M1?

A

V = NOI (1 - tc)/p + Btc . or . VL = VU + Btc

29
Q

What is the formula for M&M2?

A

Ke = p + (1 - tc)(p - kd) B/S

30
Q

What is the formula for M&M3?

A

WACC = p(1 - tc B/B+S)

31
Q

How is the market value of debt calculated?

A

B = rdD/Kd