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F INANCIAL C ALCULATORS FOR L AWYERS Lesson Four Calculator Terminology. Calculator Terminology. Financial calculators have seven basic function keys Present Value (PV) Future Value (FV) Payment (Pmt) Interest (I) or (I/yr) Number of Periods (N) Mode Payments per Year (P/Yr).

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f inancial c alculators for l awyers lesson four calculator terminology
FINANCIAL CALCULATORS FOR LAWYERS

Lesson Four

Calculator Terminology

© Steven J. Willis 2006

calculator terminology
Calculator Terminology
  • Financial calculators have sevenbasic function keys
    • Present Value (PV)
    • Future Value (FV)
    • Payment (Pmt)
    • Interest (I) or (I/yr)
    • Number of Periods (N)
    • Mode
    • Payments per Year (P/Yr)

© Steven J. Willis 2006

calculator terminology1
Calculator Terminology
  • Financial calculators have sevenbasic function keys
    • Present Value (PV)
    • Future Value (FV)
    • Payment (Pmt)
    • Interest (I) or (I/yr)
    • Number of Periods (N)
    • Mode
    • Payments per Year (P/Yr)

© Steven J. Willis 2006

calculator terminology2
Calculator Terminology
  • Financial calculators have sevenbasic function keys
    • Present Value (PV)
    • Future Value (FV)
    • Payment (Pmt)
    • Interest (I) or (I/yr)
    • Number of Periods (N)
    • Mode
    • Payments per Year (P/Yr)

© Steven J. Willis 2006

calculator terminology3
Calculator Terminology
  • Financial calculators have sevenbasic function keys
    • Present Value (PV)
    • Future Value (FV)
    • Payment (Pmt)
    • Interest (I) or (I/yr)
    • Number of Periods (N)
    • Mode
    • Payments per Year (P/Yr)

© Steven J. Willis 2006

calculator terminology4
Calculator Terminology
  • Financial calculators have sevenbasic function keys
    • Present Value (PV)
    • Future Value (FV)
    • Payment (Pmt)
    • Interest (I) or (I/yr)
    • Number of Periods (N)
    • Mode
    • Payments per Year (P/Yr)

© Steven J. Willis 2006

calculator terminology5
Calculator Terminology
  • Financial calculators have sevenbasic function keys
    • Present Value (PV)
    • Future Value (FV)
    • Payment (Pmt)
    • Interest (I) or (I/yr)
    • Number of Periods (N)
    • Mode
    • Payments per Year (P/Yr)

© Steven J. Willis 2006

calculator terminology6
Calculator Terminology
  • Financial calculators have sevenbasic function keys
    • Present Value (PV)
    • Future Value (FV)
    • Payment (Pmt)
    • Interest (I) or (I/yr)
    • Number of Periods (N)
    • Payments per Year (P/Yr)
    • Mode

© Steven J. Willis 2006

calculator terminology7
Calculator Terminology
  • Financial calculators have sevenbasic function keys
    • Present Value (PV)
    • Future Value (FV)
    • Payment (Pmt)
    • Interest (I) or (I/yr)
    • Number of Periods (N)
    • Payments per Year (P/Yr)
    • Mode

© Steven J. Willis 2006

calculator terminology8
Calculator Terminology
  • Financial calculators have sevenbasic function keys
    • Present Value (PV)
    • Future Value (FV)
    • Payment (Pmt)
    • Interest (I) or (I/yr)
    • Number of Periods (N)
    • Payments per Year (P/Yr)
    • Mode

For our purposes you will always know the mode.

© Steven J. Willis 2006

calculator terminology9
Calculator Terminology
  • Financial calculators have sevenbasic function keys
    • Present Value (PV)
    • Future Value (FV)
    • Payment (Pmt)
    • Interest (I) or (I/yr)
    • Number of Periods (N)
    • Payments per Year (P/Yr)
    • Mode

You will always know (or need to estimate) five of these six functions.

For our purposes you will always know the mode.

© Steven J. Willis 2006

calculator terminology10
Calculator Terminology
  • Financial calculators have sevenbasic function keys
    • Present Value (PV)
    • Future Value (FV)
    • Payment (Pmt)
    • Interest (I) or (I/yr)
    • Number of Periods (N)
    • Payments per Year (P/Yr)
    • Mode

You will always know (or need to estimate) five of these six functions.

The calculator will solve for the missing function.

For our purposes you will always know the mode.

© Steven J. Willis 2006

calculator terminology11
Calculator Terminology

That is the point of the financial calculator

© Steven J. Willis 2006

calculator terminology12
Calculator Terminology

That is the point of the financial calculator

To solve for a missing function.

© Steven J. Willis 2006

calculator terminology13
Calculator Terminology

If you only know four of the six functions, you must nevertheless estimate, logically deduce, or “make up” one of the two missing functions.

© Steven J. Willis 2006

calculator terminology14
Calculator Terminology

If you only know four of the six functions, you must nevertheless estimate, logically deduce, or “make up” one of the two missing functions.

No calculator will solve for two missing functions.

© Steven J. Willis 2006

calculator terminology15
Calculator Terminology
  • For example:
  • If you know
  • how much you borrowed for your home loan (PV)
  • the interest rate (I/yr)
  • that you intend to pay it off to zero (FV)
  • that you want monthly payments (P/yr)
  • you cannot solve for both the time period and the payment amount.

© Steven J. Willis 2006

calculator terminology16
Calculator Terminology
  • For example:
  • If you know
  • how much you borrowed for your home loan (PV)
  • the interest rate (I/yr)
  • that you intend to pay it off to zero (FV)
  • that you want monthly payments (P/yr)
  • you cannot solve for both the time period and the payment amount.

© Steven J. Willis 2006

calculator terminology17
Calculator Terminology
  • For example:
  • If you know
  • how much you borrowed for your home loan (PV)
  • the interest rate (I/yr)
  • that you intend to pay it off to zero (FV)
  • that you want monthly payments (P/yr)
  • you cannot solve for both the time period and the payment amount.

© Steven J. Willis 2006

calculator terminology18
Calculator Terminology
  • For example:
  • If you know
  • how much you borrowed for your home loan (PV)
  • the interest rate (I/yr)
  • that you intend to pay it off to zero (FV)
  • that you want monthly payments (P/yr)
  • you cannot solve for both the time period and the payment amount.

© Steven J. Willis 2006

calculator terminology19
Calculator Terminology
  • For example:
  • If you know
  • how much you borrowed for your home loan (PV)
  • the interest rate (I/yr)
  • that you intend to pay it off to zero (FV)
  • that you want monthly payments (P/yr)
  • you cannot solve for both the time period and the payment amount.

© Steven J. Willis 2006

calculator terminology20
Calculator Terminology
  • For example:
  • If you know
  • how much you borrowed for your home loan (PV)
  • the interest rate (I/yr)
  • that you intend to pay it off to zero (FV)
  • that you want monthly payments (P/yr)
  • you cannot solve for both the time period and the payment amount.

You may tell the calculator the time period (N)– perhaps 30 or 15 years – and it will tell you the needed payment (Pmt).

© Steven J. Willis 2006

calculator terminology21
Calculator Terminology
  • For example:
  • If you know
  • how much you borrowed for your home loan (PV)
  • the interest rate (I/yr)
  • that you intend to pay it off to zero (FV)
  • that you want monthly payments (P/yr)
  • you cannot solve for both the time period and the payment amount.

You may tell the calculator the time period – perhaps 30 or 15 years – and it will tell you the needed payment.

Or, you may tell the calculator that you want to pay $1,500 monthly (Pmt), and it will tell you how long that will take (N).

© Steven J. Willis 2006

calculator terminology22
Calculator Terminology
  • For example:
  • If you know
  • how much you borrowed for your home loan (PV)
  • the interest rate (I/yr)
  • that you intend to pay it off to zero (FV)
  • that you want monthly payments (P/yr)
  • But, you cannot solve for both the time period and the payment amount.

You may tell the calculator the time period – perhaps 30 or 15 year – and it will tell you the needed payment.

Or, you may tell the calculator that you want to pay $1,500 monthly, and it will tell you how long that will take.

© Steven J. Willis 2006

calculator terminology23
Calculator Terminology

On a handheld calculator – such as an HP10BII – the six functions are found along the top row of keys.

© Steven J. Willis 2006

calculator terminology24
Calculator Terminology

On a handheld calculator – such as an HP10BII – the six functions are found along the top row of keys.

N for number of periods.

© Steven J. Willis 2006

calculator terminology25
Calculator Terminology

On a handheld calculator – such as an HP10BII – the six functions are found along the top row of keys.

I/YR for nominal interest per year.

© Steven J. Willis 2006

calculator terminology26
Calculator Terminology

On a handheld calculator – such as an HP10BII – the six functions are found along the top row of keys.

PV for present value.

© Steven J. Willis 2006

calculator terminology27
Calculator Terminology

On a handheld calculator – such as an HP10BII – the six functions are found along the top row of keys.

PMT for payment.

© Steven J. Willis 2006

calculator terminology28
Calculator Terminology

On a handheld calculator – such as an HP10BII – the six functions are found along the top row of keys.

FV for Future Value.

© Steven J. Willis 2006

calculator terminology29
Calculator Terminology

On a handheld calculator – such as an HP10BII – the six functions are found along the top row of keys.

P/YR for payments per year (or periods per year).

© Steven J. Willis 2006

calculator terminology30
Calculator Terminology

On the Electronic Calculators used in this Course or on the CD, all function keys are always displayed clearly.

© Steven J. Willis 2006

calculator terminology31
Calculator Terminology

The Six critical function keys always appear.

© Steven J. Willis 2006

calculator terminology32
Calculator Terminology

Also, several other important, but less critical function keys always appear.

© Steven J. Willis 2006

calculator terminology33
Calculator Terminology

On the Electronic Calculators used in this Course or on the CD, all function keys are always displayed clearly.

Also, the values for each function always appear.

© Steven J. Willis 2006

calculator terminology34
Calculator Terminology
  • Present Value
    • This function inputs or solves for the value today of either
      • A sum in the future
      • A series of payments in the future.

© Steven J. Willis 2006

calculator terminology35
Calculator Terminology

On a handheld calculator – such as an HP10BII – this function key is found along the top row of keys.

PV for present value.

© Steven J. Willis 2006

calculator terminology36
Calculator Terminology

On the Electronic Calculators used in this Course or on the CD, this function keys is always displayed, along with its value.

© Steven J. Willis 2006

calculator terminology37
Calculator Terminology
  • Present Value
    • This function inputs or solves for the value today of either
      • A sum in the future
      • A series of payments in the future.

© Steven J. Willis 2006

calculator terminology38
Calculator Terminology
  • Present Value
    • This function inputs orsolves for the value today of either
      • A sum in the future
      • A series of payments in the future.

© Steven J. Willis 2006

calculator terminology39
Calculator Terminology
  • Present Value
    • This function inputs or solves for the value today of either
      • A sum in the future
      • A series of payments in the future.

© Steven J. Willis 2006

calculator terminology40
Calculator Terminology
  • Present Value
    • This function inputs or solves for the value today of either
      • A sum in the future
      • A series of payments in the future.

© Steven J. Willis 2006

calculator terminology41
Calculator Terminology
  • Present Value
    • This function inputs or solves for the value today of either
      • A sum in the future
      • A series of payments in the future.

© Steven J. Willis 2006

calculator terminology42
Calculator Terminology
  • Present Value
    • This function inputs or solves for the value today of either
      • A sum in the future
      • A series of payments in the future.

© Steven J. Willis 2006

calculator terminology43
Calculator Terminology
  • Present Value
    • This function inputs orsolves for the value today of either
      • A sum in the future
      • A series of payments in the future.

If you know the future value and the interest rate and time period, then you solve for the present value.

© Steven J. Willis 2006

calculator terminology44
Calculator Terminology
  • Present Value
    • This function inputsor solves for the value today of either
      • A sum in the future
      • A series of payments in the future.

If you know the present value, then you must be solving for another function, such as the future value or the series of withdrawal payments that the present value can generate.

If you know the future value and the interest rate and time period, then you solve for the present value.

© Steven J. Willis 2006

calculator terminology45
Calculator Terminology
  • Future Value
    • This function inputsor solves for the value at some date in the future of either
      • A current sum
      • A series of payments in the future, ending before the future date.

© Steven J. Willis 2006

calculator terminology46
Calculator Terminology

On a handheld calculator – such as an HP10BII – this function key is found along the top row of keys.

FV for Future Value.

© Steven J. Willis 2006

calculator terminology47
Calculator Terminology

On the Electronic Calculators used in this Course or on the CD, this function keys is always displayed, along with its value.

© Steven J. Willis 2006

calculator terminology48
Calculator Terminology
  • Future Value
    • This function inputs solves for the value at some date in the future of either
      • A current sum
      • A series of payments in the future, ending before the future date.

© Steven J. Willis 2006

calculator terminology49
Calculator Terminology
  • Future Value
    • This function inputs orsolves for the value at some date in the future of either
      • A current sum
      • A series of payments in the future, ending before the future date.

© Steven J. Willis 2006

calculator terminology50
Calculator Terminology
  • Future Value
    • This function inputs orsolvesfor the value at some date in the future of either
      • A current sum
      • A series of payments in the future, ending before the future date.

© Steven J. Willis 2006

calculator terminology51
Calculator Terminology
  • Future Value
    • This function inputs or solves for the value at some date in the future of either
      • A current sum
      • A series of payments in the future, ending before the future date.

© Steven J. Willis 2006

calculator terminology52
Calculator Terminology
  • Future Value
    • This function inputs or solves for the value at some date in the future of either
      • A current sum
      • A series of payments in the future, ending before the future date.

© Steven J. Willis 2006

calculator terminology53
Calculator Terminology
  • Future Value
    • This function inputs or solves for the value at some date in the future of either
      • A current sum
      • A series of payments in the future, ending before the future date.

© Steven J. Willis 2006

calculator terminology54
Calculator Terminology
  • Future Value
    • This function inputs orsolves for the value at some date in the future of either
      • A current sum
      • A series of payments in the future, ending before the future date.

If you know the present value and the interest rate and time period, then you solve for the future value.

© Steven J. Willis 2006

calculator terminology55
Calculator Terminology
  • Future Value
    • This function inputsor solves for the value at some date in the future of either
      • A current sum
      • A series of payments in the future, ending before the future date.

If you know the future value, then you must be solving for another function, such as the present value or the series of deposit payments needed to generate the future value.

If you know the present value and the interest rate and time period, then you solve for the future value.

© Steven J. Willis 2006

calculator terminology56
Calculator Terminology
  • Payment
    • This function inputsor solves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology57
Calculator Terminology

On a handheld calculator – such as an HP10BII – this function key is found along the top row of keys.

PMT for payment.

© Steven J. Willis 2006

calculator terminology58
Calculator Terminology

On the Electronic Calculators used in this Course or on the CD, this function keys is always displayed, along with its value.

© Steven J. Willis 2006

calculator terminology59
Calculator Terminology
  • Payment
    • This function inputsor solves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology60
Calculator Terminology
  • Payment
    • This function inputs orsolves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology61
Calculator Terminology
  • Payment
    • This function inputs orsolvesfor the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology62
Calculator Terminology
  • Payment
    • This function inputs or solves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology63
Calculator Terminology
  • Payment
    • This function inputs orsolves for the value of a regular deposit or withdrawal

If you know the present or future value and the interest rate and time period, then you solve for the payment amount that the present sum would generate or the needed deposit to result in the future value.

© Steven J. Willis 2006

calculator terminology64
Calculator Terminology
  • Payment
    • This function inputsor solves for the value of a regular deposit or withdrawal

If you know the present or future value and the interest rate and time period, then you solve for the payment amount that the present sum would generate or the needed deposit to result in the future value.

If you know the payment value, then you must be solving for another function, such as the present or future value of the series of deposits.

© Steven J. Willis 2006

calculator terminology65
Calculator Terminology
  • Interest
    • This function inputsor solves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology66
Calculator Terminology

On a handheld calculator – such as an HP10BII – this function key is found along the top row of keys.

I/YR for Interest per year.

© Steven J. Willis 2006

calculator terminology67
Calculator Terminology

On the Electronic Calculators used in this Course or on the CD, this function keys is always displayed, along with its value.

© Steven J. Willis 2006

calculator terminology68
Calculator Terminology
  • Interest
    • This function inputsor solves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology69
Calculator Terminology
  • Interest
    • This function inputs orsolves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology70
Calculator Terminology
  • Interest
    • This function inputs orsolvesfor the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology71
Calculator Terminology
  • Interest
    • This function inputs or solves for the nominal annual interest rate

© Steven J. Willis 2006

calculator terminology72
Calculator Terminology
  • Interest
    • This function inputs orsolves for the nominal annual interest rate

If you know the present and future value, the payment amount and the time and frequency period, then you solve for the interest rate.

© Steven J. Willis 2006

calculator terminology73
Calculator Terminology
  • Interest
    • This function inputsor solves for the nominal annual interest rate

If you know the present and future value, the payment amount and the time and frequency period, then you solve for the interest rate.

If you know the interest rate, then you must be solving for another function, such as the present or future value of the series of deposits.

© Steven J. Willis 2006

calculator terminology74
Calculator Terminology
  • Interest
    • This function inputs or solves for the nominal annual interest rate

In Lesson Five, we will focus on interest rate terminology. We will distinguish nominal rates from periodic rates, from effective rates, and from an annual percentage rate.

© Steven J. Willis 2006

calculator terminology75
Calculator Terminology
  • Number of Periods
    • This function inputsor solves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology76
Calculator Terminology

On a handheld calculator – such as an HP10BII – this function key is found along the top row of keys.

N for number of Periods.

© Steven J. Willis 2006

calculator terminology77
Calculator Terminology

On the Electronic Calculators used in this Course or on the CD, this function keys is always displayed, along with its value.

© Steven J. Willis 2006

calculator terminology78
Calculator Terminology
  • Number of Periods
    • This function inputsor solves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology79
Calculator Terminology
  • Number of Periods
    • This function inputs orsolves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology80
Calculator Terminology
  • Number of Periods
    • This function inputs orsolvesfor the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology81
Calculator Terminology
  • Number of Periods
    • This function inputs or solves for the total number of periods

© Steven J. Willis 2006

calculator terminology82
Calculator Terminology
  • Number of Periods
    • This function inputs orsolves for the total number of periods

If you know the present and future value, the payment amount and the frequency and interest rate, then you solve for the number of periods.

© Steven J. Willis 2006

calculator terminology83
Calculator Terminology
  • Number of Periods
    • This function inputsor solves for the total number of periods

If you know the present and future value, the payment amount and the frequency and interest rate, then you solve for the number of periods.

If you know the number of periods, then you must be solving for another function, such as the present or future value of the series of deposits or for the interest rate.

© Steven J. Willis 2006

calculator terminology84
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputsor solves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology85
Calculator Terminology

On a handheld calculator – such as an HP10BII – this function key is found along the top row of keys.

P/YR for number of Periods or Payments per year.

© Steven J. Willis 2006

calculator terminology86
Calculator Terminology

On the Electronic Calculators used in this Course or on the CD, this function keys is always displayed, along with its value.

© Steven J. Willis 2006

calculator terminology87
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputsor solves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology88
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputs orsolves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology89
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputs orsolvesfor the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology90
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputs or solves for the total number of periods or payments per year

© Steven J. Willis 2006

calculator terminology91
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputs or solves for the total number of periods or payments per year

Another way of defining this is as the compounding period.

© Steven J. Willis 2006

calculator terminology92
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputs or solves for the total number of periods or payments per year

Another way of defining this is as the compounding period.

The Nominal Annual Interest Rate compounds at this frequency.

© Steven J. Willis 2006

calculator terminology93
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputs or solves for the total number of periods or payments per year

We can call this “Payments per year” or “Periods per year.”

© Steven J. Willis 2006

calculator terminology94
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputs or solves for the total number of periods or payments per year

We can call this “Payments per year” or “Periods per year.”

They will always be the same. Lesson Five will explain the following Law of Finance:

© Steven J. Willis 2006

calculator terminology95
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputs or solves for the total number of periods or payments per year

We can call this “Payments per year” or “Periods per year.”

They will always be the same. Lesson Five will explain the following Law of Finance:

The compounding period (periods per year) and the payment period (payments per year) must either be identical or be 1.

© Steven J. Willis 2006

calculator terminology96
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputs orsolves for the total number of periods or payments per year

If you know the present and future value, the payment amount, the total time period and interest rate, then you solve for the number of periods per year.

© Steven J. Willis 2006

calculator terminology97
Calculator Terminology
  • Payments Per Year (or periods per year)
    • This function inputsor solves for the total number of periods or payments per year

If you know the present and future value, the payment amount, the total time period and interest rate, then you solve for the number of periods per year.

If you know the number of periods per year, then you must be solving for another function, such as the present or future value of the series of deposits or for the interest rate.

© Steven J. Willis 2006

calculator terminology98
Calculator Terminology
  • Mode
    • This function inputsor solves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology99
Calculator Terminology

On a handheld calculator – such as an HP10BII – this function key is found on the second row of keys.

BEG/END for mode.

© Steven J. Willis 2006

calculator terminology100
Calculator Terminology

On the Electronic Calculators used in this Course or on the CD, this function keys is always displayed, along with its value.

© Steven J. Willis 2006

calculator terminology101
Calculator Terminology
  • Mode
    • This function defines the timing of the initial payment in a solves for the value of a regular deposit or withdrawal

© Steven J. Willis 2006

calculator terminology102
Calculator Terminology
  • Mode
    • This function defines the timing of the initial payment in a
      • Sinking Fund

© Steven J. Willis 2006

calculator terminology103
Calculator Terminology
  • Mode
    • This function defines the timing of the initial payment in a
      • Sinking Fund
      • Annuity

© Steven J. Willis 2006

calculator terminology104
Calculator Terminology
  • Mode
    • This function defines the timing of the initial payment in a
      • Sinking Fund
      • Annuity

Begin Mode occurs when the first payment is at the beginning of each period.

© Steven J. Willis 2006

calculator terminology105
Calculator Terminology
  • Mode
    • This function defines the timing of the initial payment in a
      • Sinking Fund
      • Annuity

Begin Mode occurs when the first payment is at the beginning of each period.

End Mode occurs when the first payment is at the end of each period.

© Steven J. Willis 2006

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