week 13 Flashcards

1
Q

what is the present value

A

the current value of future cash flows discounted at the appropriate discount rate
value at t=0 on a timeline
refers to the current value of an amount to be received in the future

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2
Q

what is the future value

A

the amount an investment is worth after one or more periods
later money on a timeline

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3
Q

what is the interest rate

A

the exchange rate between earlier and later money
discount rate
cost of capital
opportunity cost of capital
required return
terminology depends on usage

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4
Q

how do you calculate future value

A

FV = PV x (1+r)^t

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5
Q

what is simple interest

A

interest earned only on the original principle

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6
Q

what is compound interest

A

interest earned on principle and on interest received
interest on interest - interest earned on reinvestment of previous interest payments

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7
Q

how do you calculate future value with simple interest

A

FV = PV x (1 +rt)

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8
Q

how do you calculate future value with compound interest

A

FV = PV x (1+r)^t

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9
Q

how do you calculate dividend growth

A

FV = D0 x (1+r)^t

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10
Q

how do you calculate present value

A

PV = FV / (1+r)^t

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11
Q

how do you calculate discount rate

A

r = (FV/PV)^(1/t) -1

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12
Q

how do you calculate the number of periods

A

t = (ln (FV/PV)) / (ln (1+r))

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13
Q

what is the rule of 72

A

approximation method
way of checking how long it will take to double your money at a given interest rate and compound interest
do 72 / interest rate percentage
eg for 8% interest, 72/8 = 9

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14
Q

what are multiple cash flows

A

an asset or project typically has multiple cash flows
since money has time value, the value of such an asset or project is not the sum of individual cash flows
we need to transform all cash flows to one point in time before they can be meaningfully added together
this transformation is either done through compounding or dicounting

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15
Q

what are multiple cash flows

A

an asset or project typically has multiple cash flows
since money has time value, the value of such an asset or project is not the sum of individual cash flows
we need to transform all cash flows to one point in time before they can be meaningfully added together
this transformation is either done through compounding or discounting
assumed cash flow occurs at the end of the period

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16
Q

what is an annuity

A

finite series of equal payments that occur at regular intervals
if the first payment occurs at the end of the period it is an ordinary annuity
first payment occurs at the beginning of the period it is an annuity due

17
Q

what is a perpetuity

A

infinite series of equal payments

18
Q

how do you calculate a PV of perpetuity

A

PV = C/r

19
Q

how do you calculate the PV of an annuity

A

PV = C/r - (C/r) / (1+r)^T

20
Q

how do you calculate the FV of an annuity

A

C x (((1+r)^T - 1) / r)

21
Q

how do you find the financial rate

A

choose interest rate and find PV of payments
compare PV to actual loan amount
PV > loan, interest rate is too low
PV < loan, interest rate is too high
adjust rate and repeat till PV = loan