[PDF]New tables, shewing the value of any quantity of stock at any price ...

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4» The ^

Robert E. Gross
CollecHon


A Memorial to the Founder
of the


(fb


Business Administration Library
Los Angeles


NEW

TABLES,

SHEWING

f. The Value of any Quantity of Stock at any Price. Alio th€

Quantity of Stock that any Sum of Money will purchafe.

The Anfvvcr is given in Pounds, Shillings, Pence, and the

Decimal Parts of a Penny.

II. What Intereft is made per Cent per Annum of any Purchafe
from £60 to ;^ 200 percent, at 3, 3*, 4, ^j, 5, 51,6
and 7 per Cent.

III. The Number of Days from any Day in one Month to the
fame Day in any other Month.

IV. Of Intereft, at 3, 3 1, 4 and 5 per Cent per Annum, from
£i ^0 £ 1000, for One Day to 100 Days, 200 and 300 Days,
and for one Month to 12 Months.

V. How to find by the Table of Intereft at 5 per Cent the
Amount of Wages for any Number of Days, for any Sum from
I OS lo^ icco per Annum.

VJ. For the ready cafting up of Intereft, at 2 |, 3, 3 1, 4,
4^, aid 5 per Cent.

VII. Shewing the prefent Value of an Annuity of ^i, from
One Year to Sixty Years, at 3, 3I, 4 and 5 per Cent.

VIII. Shewing the prefent State of the Transferable Annuities
at the Bank of England, South Sea and India Houfes, with
the Days and Hours of Transfering and Payment of Intereft,
aod alfo the Holidays obferved at the Publick Offices.


By JOHN STO NE HOUS E.

And examined by William Chapman, of the Bank of
England.


L 0 N D 0 N:

Printed for the Author, and Sold by John Beecroft, at the
Biblt and Croivn in Pater- Nojier-Roio 5 and H. WHlTRincE
at the Royal Exchange. M.DCC.LX.


To the Reader,

CT' H E general Want of fome plain and ujeful Tables, calculated
for the ready Difpatchof Bufnefs, tranfafied in the public Funds,
induced me to form the folloiulng j 'which are conjiruEled on a
Planfoeajy, that the "Examples hereafter given ivill be a fuffi-
cient "Explanation. Therefore I have only this to fay in Vindication
ef the Performance, that all pojjibls Care has been taken to make it
correct, and that the whole has been carefully examined by Mr.
William Chapman, in Tejiimony ofnvhich every Copy isfgned.


THE


THE

INTRODUCTION.

npHE Value of the Decimal Parts of a Penny to feme Perfona
may not be clearly comprehended j to thofe the following
Defcription may be ufeful.

When whole Numbers are divided into 10,100,1000 &c. equal
Parts, any Number of thofe Parts are called Decimal Fradlions,
the Integer or whole Number in thefe Tables is a Penny, and the
Figures following the Pence are fo many Tenths, Hundredths and
Thoufandths Parts of a Penny. The Explanation of the Parts
of a Penny that are in the Value of ^5.173 Stock, at 82 | per
Cent will be fufEcient for this Purpofe.

Is 1 s d pts

5.— at 82I is 4. 2. 7,5

—.17 —■ >i4'--->5S5

4.16. 8,055

Thus ,5 ftands for _5_ or five Tenth Parts ; ,05 for _1_
or five Hundredth Parts, ,005 j^-^-^ or fiveThoufandth Parts,
For the Addition of Fradlions of the above Denominations place
them thus, ,5 Tenth "1

,05 Hundredth v Parts of a Penny,

,005 Thoufandth j

,555 Five Hundred fifty five Thoufandth
Parts of a Penny.
By the above it may be plainly feen, that Cyphers added to
the left Hand of Decimal Fradions, decreafe the Value of them
in a tenfold Proportion. Alfo that if Cyphers were added to the
right Hand, they would be of no Signification ; therefore the
Cyphers that are on the right Hand of the Fraftions in the fol-
lowing Tables are made ufe of only to fill up the Places; for ,50
,500 or ,5000 is no more in Value than 5 tenths. The Parts
of a Penny in thefe Tables are of no lower Denomination than
the above, except in that of Pence, where they are fo low as a
Hundred Thoufandth j but as the Produce of 1 1 Pence at | per
Cent is not a tenth Part of a Penny, it wiil be fufficient in all
common Cafes to take the even Rate j as for Example, for 11
Pence at 8z | per Cent, take the Produce of 11 Pence at 83 per
Cent, which is gd, ,13.


A 2 EXAMPLtS


EXAMPLES

S H I w r K G

The Application of the followirg TABLES.

Example I.

What wUl£, 26 Stock come toat £Zz^ per Cent ?

(This Example fhews how applicable the foUowingTablcs are to
the Bufinefs tranfacficd in Lottery, Blanks and Prizes. The exaft
Proportion that Blanks bear to Prizes, and that Blanks and Pri-
zes bear to the transferable Annuities are feen by Infpeflion, for
if ^100 Stock may be purchafed for ;^ 82. 17. 6. £7.0 at the
fame rate will come to ;^ 1 6. 11. 6. and;^6tO;^4. 19. 5,4)


£20 — 16. ir.

6—4. 19.


6

5>4


a I, 10. 11,4 Anfvver.


Example II.
pyhat will£ 1 10. 15.9 Stock come to at £Sz ^ per Cent f

When the Value of any Quantity of Stock is required, that a
Sum doubled, or that two Sums added together, will give the
Anfwer, it is moft expedient to make ufe of that Method ; this Ex-
ample is anfvvered by 50 and 60 for ;^iio. — . 7 and 8 for 15s
and 4 and 5 for §d.

;^iio. — . — /.go. 17. g

. 15. — — . iz. 4*725

. —.9 —. — . 7>47


£ lie. 15. 9^91. 10. 0,195 Anfw!


M'hat will£ 54

406. —

30. — ,

—. 17


Example III.
2. 17. 6. Stock come tt at 96 1 per Cent ?

— /.4806. 5. — "

— 384. 10. —

— 28. 16. 9
-- I. 18. 5,4

— — . 16. 4,095
6 -. -. S.76


5431.


5222,


7. — ,255 Aijfwer.

Example


E X A M P I. E IV.

fflat Stock wu'll I. 5222. 7. purchafe at 96 | per Cent ?

This Queftion is the reverfe of the laft, therefore proceed for
an Anfwer in the following manner; Firft, (in Column 96 1)
feek for the neareft Sum, lefs than that of the Queftion, which.
is ^ 4S06. 5 ; againft it in the left hand Coluip.n is JT 5000. (the
Stock, that ^ 4806. 5 will purchafe) The Remainder iS;(,'4i6. 2,
for which feek in the fame Method as firft, and the neareft
Sum to be found is ^^3^4. 10 which will purchafe ;^ 400. There
yet remains ^ 31. 12 for this Sum, the neareft is ;^ 28. 16. 9,
which will purchafe £ 30 Stock, for the Remainder £ 2. 15. 3}
fee the CoUeftion.

/. 5222. 7. —
4806. 5« — — - 5000. ~, —

416. 2. —

384. 10. — - - 400. ^— . — '


31. 12. ~

28. 16. 9 - - 30. .


2. 15. 3

I. 18. 5,4 - - a. — . — -


. 16. 9,6

— — . 16. 4,095 — , 17. —


• — • 5'505


.. — . 6


/. 5432, 17. 6 Anfvver.
Example V.

Hljat Stock nvill I. 876. 19. 1 1 purchafe at /. 1 10 f per Cent V

In this, and all other Examples where the Stock bears a Pre-
mium Par muft be included,- and then the Tables at an | &c. per
Cent will anfwer the fame Purpofe as if they were calculated at
100 I &c. per Cent. Therefore proceed in the fame manner as
if the Column 10 | was no -| j for it is as readily feen that
/. ir. I. 3 will purchafe 7.10 Stock;, as that /.no. 12. 6 will
purchafe /.loo. Therefore to anfwer this Queftion, in Column
10 f per Cent, feek for the feveral Sums that will give the An-
fwer,


fwer, firft fettlng down the Sum to be laid out, and then Iubtra£t
as follows.

/. 876. 19. II

774. 7. 6 will purchafe /.700. — , —


102. 12. 5

3. I. 2
2. 4. 3


90. — . —


16. i:
16. '


,1^5 -


~. -. 3>^75


— . 15. —

- - — . — . 4
Anfwer /. 792 15 4

Example VI.

What •■will I. 792. 15. 4 Stock come to at I, 1 10 f per Cent ?

This Example is anfwer'd by fetting down the Stock at Par,
and collecting the Premium from Column 10 |

7.792. 15. 4

— at 10 f - - 74. 7. 6

— - - 9. II. 3
~ - - —.4-3

— - - —.1. 7^125
4 - - — . — . ^>44


/. 700. —

90. ~

2. —


792. 15. 4 Anfwer 876. 19. 11*565

Example VII.

What is the half Tear/y Divide/id of I. 9876, 10 i. Stocky ^^ Zz
per Cent per Annum.


Sec Column i\ h 9000. —

Soo. —

70. —

6. —


— /. 157. 10. —

— ,4. — . —

— I. 4. 6

— — . 2. 1,2

— — . — . 2,1

Anfwer /. 172. 16. 9,3

Example


Example VIII.

What Quantity of Stock at ^fer Cent ivill produce an Annuity of


I. 10 ? {See Example IV.

/. lO
See Column 3 per Cent. 9


18.


.6 -


2.4


— . —,24


/. 300. — .

- 3°- — . —
■ - 3- —• —

. 6. —

- — . — . 8


Anfwer /. 333.

Example IX.
What iv'ill a Navy &c. Bill of I. 967
Cent difcount ?

The Amount of the Bill, —
The Difcount at 9 |

9C0. —. — /. 82. 17

—• 13


60. — ,
7- — ■


6
6

9,9
9^33
—>1


6. 8

7 come to at fj^ per
l.^ej. 18. 7 -^

II. 8 J


95-
872. 6. ijAnf.


Alfo the Utility of thefe Tables in the exchanging the Currency
of one Country for that of another, (where the Exchange is in
Pounds, Shillrngs, and Pence,) is demonftrated by the following
Example,

Example X.
If I. 100 Sterling is gi-ven for I. 108. 12. 6 current Money of
helandy hoiv much mujl be gi-ven for /. 569. 18. d? See Exam. V.
569. 18. 6
Table 8 I 543. 2. 6 for /. 500. — . —


26.

21.

16.

14.

6 2C. .

5-
4.

I.

6.

6

ic,8 — 4. —. —

.

14.
14.

7>^

i>4';5 • 13- —

— .

5-

—,745 . — . ^

Anfwer 524. 13. 5

This Example reverfed fhews how much current Money o?Tre~

/awf/ muft be given for /. 524. 13. 5 Sterling, at 8 | per Cent,

Premium. lb'


T«« VJeof the Table, Jbetowg the different Interejl that is made by
ihi Parchafe of jinmitiei, at 3, 3 i, 4, 4f, 5> 5 |, d and "j per Cent ^

For Example ; If /. 84 will purchafe /. 100 Stock at 3 per Cent
per Annum, /. 100 at the fame Rate will purchafe /. 119. u,
and the Intereft of thatSum at 3 perCent is /. 3. 11. 5 ; there-
fore io rrvuch is made per Cent per Anr.um on that Purchafe.
And, fuppcfing the Prices of the feveral transferable Stocks to
be as unuer, againft thofe Prices in the Table, and under the fe-
veral Rates of Intereft, you have the Sums that is made per Cent
per Annum ; a Specimen of which follows.
/.S4 Purchafe. /. 3 per Annum. /. ico Purchafe. 7.3. 1 r. 5
CS Ditto -A 3. 10 - - Ditto - - 3. ig. 6
9 5 Ditto - 4. - - - ~ Ditto - - - 4. 4. a
17 1 Ditto - 4. 10 - - - Ditto - - - 4. I. —
J 38 Ditto - 6. - - - - Ditto - - - 4, 6. II

But as the prefent Annuities at 3 |^ and 4 per Cent have cer-
tain fix.ed Periods for their Continuance at thofe Rates, Recourfe
nr.iifi be had to the Terms that they were raifed upon, before a
real comparative Value can be made. Therefore, for an Exam-
ple, I have ftated the prefent comparative Value of the Annui-
ties 1758 and 1760, with the 3 per Cent confolidated Annuities.
The Term to come on the Annuities 1758, at 3 i per Cent, is
22 Years ; and that on the Annuities 1760 at 4 per Cent for 20
Years and a half, from 5th July 1760. Now,

If/. 88 will purchafe /. 100 Stock of the Annuities 1758,
7, 100 will purchafe /. 113. 12. 6 ; and if /. 95 purchafe /. ico
Stock of the Annuities 1760, /. 100 will purchafe /. 105. 3. 5.
By this it is plainly feen, that a Purchafe in the 3 per Cent An-
nuities produce more Capital than the 3 ^ per Cent by /. 5. 8. 3,
and more than the 4 per Cent by /. 13. 17. 7 ; but for thefe
Deficiencies in the Principal, the Intereft muft be accountable,
which for the 3^ per Cent is 85. id. per A'mum for 22 Years,
and for the 4 per Cent is izi. ^d. for 20 Years and a half.


The Tables of Intereft are more contracfled than common, but
it could not be avoided without fuelling the Book to a Size that
would be very inconvenient for the Pocket.

The following Articles being left out, inz. 6, 7, 8, 9, 60,
no, 80, and 90 Pounds, for thofe Sums fubftitute the Intereft
cf twice 3, 3 and 4, twice 4, 4 and 5, twice 30, &c.


N. B. The Transfer Dave for the Annuities 17^1 are ofTuef-
dav and Thurf.av, not of Saiindav, as it is by Miftake put in
tftc Table.

TABLES


TABLES

SHEWING

The Value of any Quantity of
Stock at any Price.

ALSO

The Quantity of Stock that any Sum of
Money will purchafe.


Pence

pts

COI25
C0250

00375

0050c
C0623

cc7qc

I

a

p..s
00375
00750
01125

01500
0,875

C?,2 5C

2

I
2

i

4

I

2

3

4
5
b

pts
0025
0050

0075

pts
0C5
010
01;

pts

C0625
61250
01875

02500
03125

0375C'

pts
CC75
015c
C225

0100
0125
0150

C2C
025
030

030c

0375
C45C

ipCt

3

4

5

I
2

pts

00875

01750
02625
035CO

04375

05250
6/Ct

pts

OJ

02

03

pts

02

c6

pts

03

c6

09

pts

04

0

ptb
05

4
6

04

05

06

7

c8

10

12

12

15

18

16

20

-21.

2C

25

3^

8

9

pts

— 09
— 18

— 27

10

1 I

I

2

pts

12

18

pts

07

14

21

pts

oS

16

24

pts

10

— 30

pts
11

~33

4
5
6

24

36

28

3 5

3^

40

48

— 36

45
— 54

— 40
— 50

6c

44

55

66

izpCt

13

H

»5

16

pts
15

48

64

So

96

17

I

2

, 3

4

pts

12

36

pts

13
— 26

39

pts

H

28

42

pts

— 30

45

d pts

17

34

51

48

60

72

— —52
78

56

70

84

60

75

90

68

■ 85

1. 02

i8/Ct

19

20

30

40

d pts

40

80

1. 20

1. 6c

2. —
2. 40

50

I

2

3

d pts

18

36

"- 54

d prs
iq

3S

57

d pts

20

40

60

d pts

— 90

d pts

50

-1. 5c

4

72

90

1. c8

76

95
I. 14

80

I. —
I. 20

I. 20

I. 50

I. 8c

2. —
2. 5c
3' —

^ence 6o/)Ct |

7^ !

72

73

74

75

d ptE

d pt=

a ju^

d pt;

d pts

d pii

I

-. 6.

-. 7c

-. 72

"• 73

-• 74

-• 75

2,

I. 20

I. 40

I. 44

I. ^6

I. 48

I. 5c

3

I. 80

2. 10

2. 16

2. 19

2. 9.

2. 22

2. 25

4

2. 40

2. bv.

a. 88

2. 96

3. ~

5

3- r

3- 5'-

3. 6c

3. b.

3- 70

3- 75

6

3. 60

4. 2C

4. 32

4. 3^

4. 44

4. 50

76/>Ct

77

78

79

80
d pts

81

d pts

d p:s

d pts

d pts

d pts

1

-. 76

-• 77

-. 7S

-• 79

-. 80

-. 81

2

I. 52

1. 54

I. 56

I. 58

I- 60

1. 6z

3

2. 28

2. 31

3. cS

2- 34

2. 37

r. 40

2. 43

4

3. 04

3 -'2

3. 16

3. 20

3- 24

5

3. So

3- «S

3- 9°

3- 95

4- —

4- 05

6

4. 50

4. 6z

4. 68

1- 74

4. 80

4. 86

82;)Ct

83

84

8>

86

87

d pts

d pts

d pts

d pts

d pt8

d pts

1

-. 82

-. 83

-. 84

-. 8,-

-. 86

-. 87

a

I. 64

I. 66

1. 68

I. 70'

I. 72

I. 74

4

2. 46

3. 2h

2. 4c

2. 52

2- 55

2. 5«

2. 61

3- 32

3- 3^

3- 40

3- 44

3. 48

5

4. ic

4. 15

4. 20

4. 25

4- 30

4. 35

6

4. gz

4. 08

5- <^4

5. JO

5. lb

5. 22

88/.Ct

89

90

91

d pts

92

93

d pts

d pts

d pts

d pts

d pts

I

-. 88

-. 89

-. 90

-. 91

-. 92

-. 93

2

I. 76

I. 78 I. 80

I. 82

I. 84

,. 86

3

2. 64

2. 67 2. 70

2- 73

2. 76

2. 79

4

3. 52

3. 56 3. 60

3.64

3, 68

3- 72

5

4. 40

4- 45

4. 50

4- 55

4. 60

4.6s

6

5. 28

5- 34

5. 40

5- 46

5. 52

V 58

gA.pCt

95

96

97

98

99

d pts

d pt

J d pt.

d pt

d pt

d pts

1

-. 94

-• 9.

> -' 9t

-. 97

-. 9i5

-. 99

2

I. 88

I. 9c

) I. 92

I. 94

I. qe

1. 98

3

2. 82

2- 8

; 2. 8S

2. 91

2. 9/

\. 2. 97

4

3. 76

3. 8c

5 3. 84

^ 3. 8^

5 3. 9:

I 3. 96

<

4. 7c

> 4. 7

5 4. 8c

> 4. 45

5 4- 90 4- 95

6/ 5- 64I 5. 7

3 5. 7(

, 5; «

^ . S--88I 5«.^4^

b 2

bhll.

J

s d pis

—.—,015

— . — ,030

i

i

,

s

d pts
-,03
— ,c6

s d pts
—.—,045
—.—,090

s

d pts
—,06
,12

3

— •~^>-'i5

— ,

-09

— •— >i35
—.—,180

—

,li

— .— ,c6o

— .

— ,12

—

— >24

<^

——075

— .

— .M

—.—,225

—,30

6

7
8

— . — ,090
—.—,105
—.—,120

— .*

—,10
-—,24

—.—,27c
—.—,315
— • — ,360

—,3b
—,42

-,48

9

lO

— .-->i35
—.-150

Z;

— :>27
— 30

—•—^4^5
—.—,450

~

-,6c

Fds.

1 s d p

1 s

dp

Is dp

1 s d p

J

— . — . — ,3

— . — . — ,6

— . — . — ,9

—

— . 1,2

2

— , — .-^i 6

—

—

•. 1,2

— . — . J, 8

—

--. 2,4'

3

4

5

— . — . — ,9

—

—

-. 1,8

— .— . 2,7

—

-■ 2,^

— .— . 1,5



—

. 2,4
• 3 ~

— .— • 4j5
— .— . 5.4

z

— . 4,8
— . 6-

6

7
8

— .--. 2,1

—

I

•• 3>6

_

— 7>2
-. 8,4

— , — a,4

—

—

-. 4.8

— .— . 7.^

—

-^. 0,6

9

10

— — . 2,7

—

—

•. 5'4
-. 6 -

— .— . 8^

—

^.10,8

i s d

1 s d

I s d

I s d

20

— . — . 6

— . I. —

— . I. 6

■ 2.

3^
4c

6o

—'"' 9

— . I. 6

— . 2. 3

" 3

—

— '• 3
— . I. 6

— ! 2! 6

— . 3. 9
— . 4. 6

— • 4

~- 5
— . 6

—

70
80

— . I. 9

— 3- 6

Z;5;J

• 7
— . 8

—

90

ICO

— . 2. 3

— . 2. 6

— . 4. 6

-. 6. 9

—• 9
— .10

—

200

"^- 5-—

—^.lo —

— 'M- —

I. —

—

300

-. 7. 6

— '5 —

I. 2. 6

no

—

40c
500

60c
70c
800

—.JO.—

—.12. 6

— 15 —

-.17. 6

1- 5 —
1.10. —
1.15.—

i.ic—
1.17. 6
2. 5.-
2,12. 6

2. —
2.10

3.—

3.1C

—

I.— .—

2.— .—

3. — . —

4 —

—

900

1000
200c

J. 2. 6

I. 5-—
2.10. —

2. 5.-

2.10. —

5-— •—

3. 7. 6

3-I5-
7.10.—

4.10

5-—
ic—

—

3.0CO

3.15-—

7.10.-

11. 5.-

IS-—

—

4COO

qooo

5-— • —

10. — . —

15.—.—

20. —

—

6. <;.—

12.10. —

.8.,5.-

25.—

—

Shil.

2

3
4
5
6

7
8

9

lO

Pds.

I

2

3
4

«;

i

i

i

I

s

d pts

•—075
—,150
—.225

.—,300

s d pts
— . — ,09
—.—,18
—.—,27
—--,36
—•—'45

s d pt&
-.-,105
— . — ,210

-.-.315
—.—,420

s d pts

—.--,12

—•.—,24

-.-,36

-.-,4.8

—.-6c

^

.—,450

•—525
.—,600

•-675
.—,7,-0

—.—,54
—.—,72

. —.—,90

—.—,630

—•—735
—.—,840

— •— >945
— . 1,050

—.—,72
— —,84
— .— ,9t
— . 1,08
— . 1,20

1

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40

50
60

70
80
90

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200

300,

400
500

600

700

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800

900

1000

2COO

3COO
4COO

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5.T2. 6

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300
400
500
600

70c

3. 7. 6
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300c

33. i-^.—

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41. '^.-
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