TIME VALUE OF MONEY Flashcards

1
Q

PRESENT VALUE

(PV)

A

PRESENT VALUE OF FUTURE SUM OF $

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2
Q

PV - FORMULA

A

=PV(PERIODIC RATE, TOTAL PERIODS, PMT, FV,0)

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3
Q

FUTURE VALUE

(FV)

A

SHOWS THE FUTURE VALUE OF CURRENT SUM OF $

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4
Q

FV - FORMULA

A

=FV(PERIODIC RATE, TOTAL PERIODS, PMT, PV, 0)

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5
Q

NUMBER OF PERIODS

(NPER)

A

TOTAL COMPOUNDING PERIODS REQUIRED TO REACH PRESENT OR FUTURE VALUE OF $

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6
Q

NPER - FORMULA

A

=NPER(RATE, PMT, -PV, FV, 0)

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7
Q

COMPOUND ANNUAL GROWTH RATE

(CAGR)

A

ANNUAL GROWTH RATE BASED ON PRESENT SUM & FUTURE SUM OF $

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8
Q

CAGR - FORMULA

A

=RATE(TOTAL YEARS, PMT, -PV, FV, 0)

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9
Q

PAYMENT

(PMT)

A

PAYMENT REQUIRED TO REACH FUTURE SUM OF $

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10
Q

PMT - FORMULA

A

=PMT(PERIODIC RATE, TOTAL PERIODS, -PV, FV,0)

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11
Q

PERIODIC RATE

A

INTEREST RATE / COMPOUNDING PERIODS PER YR

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12
Q

TOTAL PERIODS

A

PERIODS PER YR X YRS

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13
Q

ANNUAL COMPOUNING

A

INTEREST APPLIED ON ANNUAL BASIS

(1 COMPOUNDING PERIOD PER YR)

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14
Q

ANNUAL COMPOUNDING - FORMULA

A

=(1 + ANNUAL RATE)^TOTAL YRS

EX: $1,000 EARNING 4% PYR, FOR 5 YEARS

=(1 + .04)^5

=(1.04)^5

=1.2167

$1,000 X 1.2167 = $1,216.70

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15
Q

NON-ANNUAL COMPOUNDING

A

COMPOUNDING OCCURS MORE FREQUENTLY THAN ANNUAL BASIS

EX: MONTHLY, QUARTERLY

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16
Q

NON-ANNUAL COMPOUNDING - FORMULA

A

=(1 + PERIODIC RATE)^TOTAL PERIODS

EX: $1,000 EARNING 4% PYR, QUARTERLY COMPOUNDING FOR 5 YRS

4% / 4 PYR = 1% PERIODIC RATE

4 PYR X 5 YRS = 20 TOTAL PERIODS

=(1 + .01)^20

=(1.01)^20

=1.2202

=$1,000 X 1.2202

=$1,220.19

17
Q

ANNUAL DISCOUNTING

A

SUM OF $ DISCOUNTED ONCE PER YEAR

18
Q

ANNUAL DISCOUNTING - FORMULA

A

=(1 + ANNUAL RATE)^TOTAL YRS

$1,000, 4% ANNUAL RATE, 5 YR DISCOUNTING

=(1 + .04)^5

=(1.04)^5

=1.2167

$1,000 / 1.2167 = $821.89 PV

19
Q

NON-ANNUAL DISCOUNTING

A

DISCOUNTING OCCURS MORE FREQUENT THAN ANNUAL BASIS

EX: BI-MONTHLY, QUARTERLY, MONTHLY

20
Q

NON-ANNUAL DISCOUNTING - FORMULA

A

=(1+ PERIODIC RATE)^TOTAL PERIODS

$1,000, 4%, MONTHLY DISCOUNTING, 5 YRS

4% / 12 PYR = .0033 PERIODIC RATE

12 PYR X 5 YRS = 60 TOTAL PERIODS

=(1 + .0033)^60

=(1.003)^60

=1.2186

$1,000 / 1.1969 = $820.61