Odd-period calculations, Advance payments, Modified internal rate of return – HP 17bII+ User Manual

Page 253

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B: More About Calculations 253

File name : English-M02-1-040308(Print).doc Print data : 2004/3/9

Odd-Period Calculations

+

Ч

=

+

+

Ч

Ч

Ч

+

1

30

1

(1

)

(1

)

(1

)

N

N

DAYS

PV

i

i

i

S

PMT

FV

i

i

Where: PV = loan amount

i = periodic interest rate as a decimal

DAYS = actual number of days until the first payment

PMT = periodic payment amount

N = total number of payments

FV = balloon payment amount

S = 1 if DAYS < 30
S = 0 if DAYS

≥ 30

Advance Payments

(

#

)

(1

)

1

(1

)

#

N

N

ADV

PV

FV

i

PMT

i

ADV

i

+

=

+

+

where: PMT = payment amount

PV = loan amount

FV = balloon payment amount

i = periodic interest rate (as a decimal)

N = total number of payments

#ADV = number of payments made in advance

Modified Internal Rate of Return

1

100

1

n

P

N

NFV

MIRR

NPV

=

where:

n = total number of compounding periods

NFV

P

= net future value of positive cash flows

NPV

N

= net present value of negative cash flows

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