HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 148

The Finance

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hp40g+.book Page 2 Friday, December 9, 2005 1:03 AM combined amount earns interest at a certain rate. Financial calculations involving compound interest include savings accounts, mortgages, pension funds, leases, and annuities. Time Value of Money (TVM) calculations, as the name implies, make use of the notion that a dollar today will be worth more than a dollar sometime in the future. A dollar today can be invested at a certain interest rate and generate a return that the same dollar in the future cannot. This TVM principle underlies the notion of interest rates, compound interest and rates of return. TVM transactions can be represented by using cash flow diagrams. A cash flow diagram is a time line divided into equal segments representing the compounding periods. Arrows represent the cash flows, which could be positive (upward arrows) or negative (downward arrows), depending on the point of view of the lender or borrower. The following cash flow diagram shows a loan from a borrower's point of view: Present value (PV) (Loan) } } } } } Money received is Equal periods a positive number 1 2 345 Money paid out is a negative number Payment Payment Payment Payment (PMT) (PMT) (PMT) (PMT) Equal payments (PMT) Future value (FV) On the other hand, the following cash flow diagram shows a load from the lender's point of view: Equal payments FV PMT PMT PMT PMT PMT } } } } } Loan 1 2 345 } Equal periods PV In addition, cash flow diagrams specify when payments occur relative to the compounding periods: at the beginning of each period or at the end. The Finance Solver application provides both of these payment modes: Begin mode and End mode. The following cash 12-2 Using the Finance Solver

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12-2
Using the Finance Solver
combined amount earns interest at a certain rate.
Financial calculations involving compound interest
include savings accounts, mortgages, pension funds,
leases, and annuities.
Time Value of Money (TVM) calculations, as the name
implies, make use of the notion that a dollar today will be
worth more than a dollar sometime in the future. A dollar
today can be invested at a certain interest rate and
generate a return that the same dollar in the future cannot.
This TVM principle underlies the notion of interest rates,
compound interest and rates of return.
TVM transactions can be represented by using
cash flow
diagrams
. A cash flow diagram is a time line divided into
equal segments representing the compounding periods.
Arrows represent the cash flows, which could be positive
(upward arrows) or negative (downward arrows),
depending on the point of view of the lender or borrower.
The following cash flow diagram shows a loan from a
borrower's
point of view:
On the other hand, the following cash flow diagram
shows a load from the
lender's
point of view:
In addition, cash flow diagrams specify
when
payments
occur relative to the compounding periods: at the
beginning
of each period or at the
end
.
The Finance
Solver application provides both of these payment
modes: Begin mode and End mode.
The following cash
Present value (PV)
(Loan)
Money
received is
a positive
number
Money
paid out is
a negative
number
Equal periods
1
2
3
4
5
(PMT)
Future value
(FV)
Equal payments
Payment
(PMT)
Payment
(PMT)
Payment
(PMT)
Payment
(PMT)
}
}
}
}
}
FV
Equal payments
1
2
3
4
5
}
}
}
}
PMT
}
PMT
PMT
PMT
PMT
Equal periods
PV
Loan
}
hp40g+.book
Page 2
Friday, December 9, 2005
1:03 AM