bal(NPmt,N,I,PV ,[Pmt], [FV], [PpY], [CpY], [PmtAt], [roundValue]) ⇒ value

bal(NPmt,amortTable) ⇒ value

Amortization function that calculates schedule balance after a specified payment.

N, I, PV, Pmt, FV, PpY, CpY, and PmtAt are described in the table of TVM arguments, here.

NPmt specifies the payment number after which you want the data calculated.

N, I, PV, Pmt, FV, PpY, CpY, and PmtAt are described in the table of TVM arguments, here.

roundValue specifies the number of decimal places for rounding. Default=2.

bal(NPmt,amortTable) calculates the balance after payment number NPmt, based on amortization table amortTable. The amortTable argument must be a matrix in the form described under amortTbl(), here.

Note: See also ΣInt() and ΣPrn(), here.

A binary number can have up to 64 digits. A hexadecimal number can have up to 16.

Without a prefix, Integer1 is treated as decimal (base 10). The result is displayed in binary, regardless of the Base mode.

Negative numbers are displayed in “two's complement” form. For example,

⁻1 is displayed as
0hFFFFFFFFFFFFFFFF  in Hex base mode
0b111...111 (64  1’s)  in Binary base mode

⁻263 is displayed as
0h8000000000000000  in Hex base mode
0b100...000 (63 zeros)  in Binary base mode

If you enter a decimal integer that is outside the range of a signed, 64-bit binary form, a symmetric modulo operation is used to bring the value into the appropriate range. Consider the following examples of values outside the range.

263 becomes ⁻263 and is displayed as
0h8000000000000000  in Hex base mode
0b100...000 (63 zeros)  in Binary base mode

264 becomes 0 and is displayed as
0h0  in Hex base mode
0b0  in Binary base mode

⁻263 − 1 becomes 263 − 1 and is displayed as
0h7FFFFFFFFFFFFFFF  in Hex base mode
0b111...111 (64  1’s)  in Binary base mode

Integer1 ►Base10 ⇒ integer

Note: You can insert this operator from the computer keyboard by typing @>Base10.

Converts Integer1 to a decimal (base 10) number. A binary or hexadecimal entry must always have a 0b or 0h prefix, respectively.

0b binaryNumber
0h hexadecimalNumber

Zero, not the letter O, followed by b or h.

A binary number can have up to 64 digits. A hexadecimal number can have up to 16.

Without a prefix, Integer1 is treated as decimal. The result is displayed in decimal, regardless of the Base mode.

Integer1 ►Base16 ⇒ integer

Note: You can insert this operator from the computer keyboard by typing @>Base16.

Converts Integer1 to a hexadecimal number. Binary or hexadecimal numbers always have a 0b or 0h prefix, respectively.

0b binaryNumber
0h hexadecimalNumber

Zero, not the letter O, followed by b or h.

A binary number can have up to 64 digits. A hexadecimal number can have up to 16.

Without a prefix, Integer1 is treated as decimal (base 10). The result is displayed in hexadecimal, regardless of the Base mode.

If you enter a decimal integer that is too large for a signed, 64-bit binary form, a symmetric modulo operation is used to bring the value into the appropriate range. For more information, see ►Base2, here.

binomCdf(n,p) ⇒ list

binomCdf(n,p,lowBound,upBound) ⇒ number if lowBound and upBound are numbers, list if lowBound and upBound are lists

binomCdf(n,p,upBound)for P(0≤X≤upBound) ⇒ number if upBound is a number, list if upBound is a list

Computes a cumulative probability for the discrete binomial distribution with n number of trials and probability p of success on each trial.

For P(X ≤ upBound), set lowBound=0

binomPdf(n,p) ⇒ list

binomPdf(n,p,XVal) ⇒ number if XVal is a number, list if XVal is a list

Computes a probability for the discrete binomial distribution with n number of trials and probability p of success on each trial.