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Sharp El738 User Guide

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Page 71

70
  Linear regression calculation
Example Key operation Result
xym 
1 
1 
Stat 1
000
252
 
> 5
 
JDATA SET=100
25
JDATA SET=200
12 2412
 
> 24
 
JDATA SET=300
21
21
2140
40
4021
 
> 40
 
> 3
 
J
DATA SET=400
15 2515
 
> 25
 
JDATA SET=500
a
 =
f 
a105a=
b
 =
f 
b183b=
r
 =
f 
r100r=
sx
 =
f 
4854Sx=
sy
 =
f 
51567Sy=
x
 = 3    y´
 = ?3
 
. 
?6533y´ 
y
 = 46    x´
 = ?46
 
. 
9246246x´ 
DATA
2
4UBUJTUJDBM$BMDVMBUJPOTJOEE4UBUJTUJDBM$BMDVMBUJPOTJOEE1.1. 

Page 72

71
  Quadratic regression calculation
Example Key operation Result
xym 
1 
2 
Stat 2
000
12 4112
 
> 41
 
JDATA SET=100
8138
 
> 13
 
JDATA SET=200
525
 
> 2
 
JDATA SET=300
23 20023
 
> 200
 
JDATA SET=400
15 7115
 
> 71
 
JDATA SET=500
a
 =
f 
a536a=
b
 =
f 
b-312b=
c
 =
f 
a050c=
x
 = 10    y´
 = ?10
 
. 
?244910 y´ 
y
 = 22    x´
 = ?22
 
. 
9
@
@963≈¡=
-343≈™=
963≈¡=
3
DATA
4UBUJTUJDBM$BMDVMBUJPOTJOEE4UBUJTUJDBM$BMDVMBUJPOTJOEE1.1. 

Page 73

72
Appendix
Financial Calculation Formulas
TVM solver
PMT, PV, FV, N
Error
I/Y
If PMT = 0 then
If N = 1 then
If PMT ≠ 0 or N ≠ 1 then fi nd i using the fol-
lowing equations:
+
Error
i≤ –1
Amortization calculations
Calculations 
(for PV, PMT, and i, see the TVM solver)
END  INT(1) = ROUND(–PV 
× i)
BGN  INT(1) = 0
PRN(1) = –INT(1) + ROUND(PMT)
BAL(1) = PRN(1) + PV
INT(m) = ROUND(–BAL(m – 1) 
× i)
PRN(m) = –INT(m) + ROUND(PMT)
BAL(m) = PRN(m) + BAL(m – 1)
ROUND(NUM): If a display notation tab 
setting has...

Page 74

73
Bond calculations
In its bond calculations, this calculator conforms to rules set up by 
the book titled Standard Securities Calculation Methods, by Jan 
Mayle, Securities Industry Association, 1993.
Bond calculation is based on the following rules:
1. Whenever the redemption date happens to be the last day of a 
month, coupons are also paid on the last days of months. For 
example, if coupon payments are semi-annual and the redemp-
tion date is September 30, coupon payments occur on March 31 
and...

Page 75

74
Depreciation calculations
ROUND(NUM): If a display notation tab 
setting has been chosen, NUM is rounded and 
truncated to the specifi ed number of places 
after the decimal point.
In the following equations, M01 = START 
MONTH, LIF = LIFE(N), CST = COST(PV), 
SAL = SALVAGE(FV), and DB = DB(I/Y).
Straight-line method (SL)Calculations
If 1 < n < end_year then
Results
Sum-of-the-yearsʼ digits method (SYD)Calculations
Results
Declining balance method (DB)Calculations
Results
Error
CST < 0
SAL < 0
CST <...

Page 76

75
30/360
1. Adjust D1 and D2 according to the fol-
lowing rules:
(1) If D2 and D1 are both the last day of 
February, change D2 to 30.
(2) If D1 is the last day of February, 
change D1 to 30.
(3) If D2 is 31 and D1 is 30 or 31, change 
D2 to 30.
(4) If D1 is 31, change D1 to 30.
2. Calculate using the following formula:
DAYS = (Y2 – Y1) 
× 360 + (M2 – M1) 
× 
30 + (D2 – D1)
Actual
Percent change/Compound 
interest calculations
    
     
where NEW = NEW PRC(FV), OLD = OLD 
PRC(PV), %CH = %(I/Y), PD =...

Page 77

76
Errors and Calculation Ranges
Errors
An error will occur if an operation exceeds the calculation rang-
es, or if a mathematically illegal operation is attempted. When 
an error occurs, pressing 
g or 
y automatically moves 
the cursor back to the place in the equation where the error oc-
curred. Edit the equation or press 
s to clear the equation.
Note:  If an error occurs during the automatic calculation of a 
listed  nancial variable, pressing 
s, 
g, or 
y 
displays the  rst variable in the...

Page 78

77
Equation too long (Error 4):
  The equation exceeded its maximum input buffer (160 charac-
ters).
An equation must be shorter than 160 characters.
No solution (Error 5):
  The iteration limit was exceeded while calculating one of the 
following values in an overly complex problem:
 I/Y (TVM solver)
 IRR (Discounted cash  ow analysis)
 YIELD (Bond calculations)
  If you get an error while calculating IRR, enter an estimated 
value into RATE(I/Y) and calculate again.
Display error (Error 6):
  An...

Page 79

78
Calculation ranges of functions
  Within the ranges speci ed, this calculator is accurate to within ±1 
of the least signi cant digit of the mantissa. However, a calculation 
error increases in continuous calculations due to accumulation of 
each calculation error. (This is the same for  nancial calculations, 
scienti c calculations [y
x, x, ex, ln, n!, etc.], where continuous 
calculations are performed internally.)
Additionally, a calculation error will accumulate and become larger 
in the vicinity...

Page 80

79
Function Calculation range
x
y y 
> 0:  –10
100 <
 1
—
x  log y
 < 100 (x
 
≠ 0)
 y 
= 0: 0 <
 x
 < 10100
 y 
< 0: x
 = 2n – 1
(0 <
 | x 
| < 1:  1
—
x   = n, x
 
≠ 0),*
–10
100 <
 1
—
x   log | y 
| < 100
ex
 –10
100 <
 x
 
≤ 230.2585092
10x
–10
100 <
 x
 <
 100
sinh x
, cosh x
, 
tanh x| x 
| 
≤ 230.2585092
sinh
–1 x
| x 
| < 1050
cosh–1 x
1 
≤ x
 < 1050
tanh–1 x
| x 
| < 1
  x
2| x 
| < 1050
x
0 
≤ x
 <
 10100 
1/x
| x 
| < 10
100 (x
 
≠ 0)
n! 0 
≤ n 
≤ 69*
nPr0 
≤ r 
≤ n 
≤ 9,999,999,999*
n!
—...
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