background image

AMORTISATION

  

Colin

 

C

 

Smith

 

2010

 

 

9

15.2.

 

THE

 

AMORTISATION

 

SCHEDULE

 

 

ORDINARY

 

ANNUITY

 

 

As

 

for

 

the

 

schedule

 

at

 

14.2

 

this

 

was

 

prepared

 

using

 

Microsoft

 

Excel.

 

 

Month

 

 

Instalment

  

 

Interest

 

Capital

 

paid

 

off

  

Capital

 

Balance

 

today

 

 

 

 

100,000.00

  

1

 

R

 

4,707.35

 

1,000.00

 

3,707.35

 

96,292.65

  

2

 

R

 

4,707.35

 

962.93

 

3,744.42

 

92,548.23

  

3

 

R

 

4,707.35

 

925.48

 

3,781.86

 

88,766.37

  

4

 

R

 

4,707.35

 

887.66

 

3,819.68

 

84,946.68

  

5

 

R

 

4,707.35

 

849.47

 

3,857.88

 

81,088.80

  

6

 

R

 

4,707.35

 

810.89

 

3,896.46

 

77,192.34

  

7

 

R

 

4,707.35

 

771.92

 

3,935.42

 

73,256.92

  

8

 

R

 

4,707.35

 

732.57

 

3,974.78

 

69,282.14

  

9

 

R

 

4,707.35

 

692.82

 

4,014.53

 

65,267.62

  

10

 

R

 

4,707.35

 

652.68

 

4,054.67

 

61,212.95

  

11

 

R

 

4,707.35

 

612.13

 

4,095.22

 

57,117.73

  

12

 

R

 

4,707.35

 

571.18

 

4,136.17

 

52,981.56

  

13

 

R

 

4,707.35

 

529.82

 

4,177.53

 

48,804.03

  

14

 

R

 

4,707.35

 

488.04

 

4,219.31

 

44,584.72

  

15

 

R

 

4,707.35

 

445.85

 

4,261.50

 

40,323.22

  

16

 

R

 

4,707.35

 

403.23

 

4,304.12

 

36,019.10

  

17

 

R

 

4,707.35

 

360.19

 

4,347.16

 

31,671.95

  

18

 

R

 

4,707.35

 

316.72

 

4,390.63

 

27,281.32

  

19

 

R

 

4,707.35

 

272.81

 

4,434.53

 

22,846.79

  

20

 

R

 

4,707.35

 

228.47

 

4,478.88

 

18,367.91

  

21

 

R

 

4,707.35

 

183.68

 

4,523.67

 

13,844.24

  

22

 

R

 

4,707.35

 

138.44

 

4,568.90

 

9,275.33

  

23

 

R

 

4,707.35

 

92.75

 

4,614.59

 

4,660.74

  

24

 

R

 

4,707.35

 

46.61

 

4,660.74

 

0.00

  

 

 

15.3

  

Amortising

 

the

 

payments

 

to

 

calculate

 

the

 

amount

 

of

 

capital

 

and

 

interest

 

paid

 

and

 

the

 

balance

 

at

 

the

 

end

 

of

 

each

 

year

 

 

This

 

step

 

follows

 

directly

 

on

 

your

 

calculation

 

of

 

the

 

instalment

 

above.

 

 

 

We

 

enter

 

the

 

first

 

financial

 

period

 

and

 

the

 

number

 

of

 

payments

 

made

 

in

 

that

 

period.

 

The

 

amortisation

 

function

 

can

 

be

 

for

 

any

 

period

 

but

 

here

 

it

 

is

 

for

 

a

 

12

month

 

period.

 

 

This

 

is

 

for

 

periods

 

1

 ‐ 

12

 

c

  

Capital

 

paid

 

in

 

year

 

1

 

d

  

Interest

 

paid

 

in

 

year

 

1

 

e

 

Balance

 

at

 

the

 

end

 

of

 

year

 

1

 

 

 

HP10BII

 

financial

 

calculator

 

 

KEYS

 

DISPLAY

 

 

 

   

1

 

INPUT

12

 

12

 

_

   

 

AMORT

 

1

12

   

=

 

47,018.47

 

c

 

=

  

9,469.73

 

d

 

=

 

52,981.53

 

e

 

 
 

 

 

For

 

the

 

next

 

12

 

months

 

(periods

 

13

 

 

24)

 

 
 
 
 
 
 

f

  

Capital

 

paid

 

in

 

year

 

2

 

g

  

Interest

 

paid

 

in

 

year

 

2

 

h

  

Balance

 

at

 

the

 

end

 

of

 

year

 

2

 

 

 

HP10BII

 

financial

 

calculator

 

 

KEYS

 

DISPLAY

 

 

 

   

 

AMORT

 

13

24

   

 

   

=

 

52,981.59

 

f

=

  

3,506.61

 

f

=

 

0.06

 

h

 
 

 
 

YOU

 

CAN

 

CHECK

 

THESE

 

NUMBERS

 

AGAINST

 

THE

 

AMORTISATION

 

SCHEDULE

 

ABOVE.

 

Year

 

1

 

interest

 

R9,469.73

 

Year

 

1

 

capital

R47,018.47

 

Year

 

2

 

interest

 

R3,506.61

 

Year

 

1

 

capital

R52,981.59

 

Summary of Contents for HP10BII

Page 1: ...iodic interest rate i m and the number of years will be converted to compounding periods n x m 4 Financial calculators have functionality not available to the human brain and the multi functionality of financial calculators is not demonstrated in these notes If you use different functionality and get the same answer congratulations you are an advanced financial calculator user If you use different...

Page 2: ...ator KEYS DISPLAY DISP 2 0 00 DISP 4 0 0000 DECIMAL INDICATOR The HP10BII can show the decimal indicator as a comma or a point HP10BII financial calculator KEYS DISPLAY Must not display BEGIN 0 00 0 00 CLEARING PREVIOUS WORK Every transaction in this document will commence with the following keystrokes C All is the function to clear all the internal registers of the calculator HP10BII financial ca...

Page 3: ...n amount of R5 000 payable on your 25 th birthday Your father offers to give you the present value today in cash At an interest rate of 10 p a compounded annually how much must your father give you today What is the present value of the bequest The ve amount reflects what should be paid today HP10BII financial calculator KEYS DISPLAY Must not display BEGIN C ALL 0 00 5 000 FV 5 000 00 10 I YR 10 0...

Page 4: ...count immediately after the latest quarter s interest credit is R173 398 60 How long ago was the amount invested Remember that because you have compounded more than once a year n x m in the formula N is not years but periods So the answer is 16 4 4 years HP10BII financial calculator KEYS DISPLAY Must not display BEGIN C ALL 0 00 173 398 60 FV 173 398 60 100 000 PV 100 000 00 14 4 I YR 3 50 N 16 00...

Page 5: ...pounded annually How much will you have in the account after 10 years HP10BII financial calculator KEYS DISPLAY Must display BEGIN C ALL 0 00 BEG END BEGIN 0 00 1 P YR 1 00 1 000 PMT 1 000 00 9 5 I YR 9 50 10 N 10 00 0 PV 0 00 FV 17 038 52 11 Present Value of an Annuity Due PVAdue An overseas benefactor has offered to sponsor new Care Centre for Aids Orphans in Cape Town and they have pledged to p...

Page 6: ...You can also solve for the interest rate and for the number of periods using the same functions 13 Calculating the interest rate for a normal financial transaction Annuity Due A bank offers you a personal loan of R20 000 repayable in 24 easy instalments of R1 050 per month starting immediately What nominal interest rate APR is being charged HP10BII financial calculator KEYS DISPLAY Must display BE...

Page 7: ...ty due the entire first payment is applied to capital Month Instalment Interest Capital paid off Capital Balance today 100 000 00 1 R 4 660 74 4 660 74 95 339 26 2 R 4 660 74 953 39 3 707 35 91 631 91 3 R 4 660 74 916 32 3 744 42 87 887 49 4 R 4 660 74 878 87 3 781 87 84 105 63 5 R 4 660 74 841 06 3 819 68 80 285 94 6 R 4 660 74 802 86 3 857 88 76 428 06 7 R 4 660 74 764 28 3 896 46 72 531 60 8 R ...

Page 8: ...r the next 12 months periods 13 24 f Capital paid in year 2 g Interest paid in year 2 h Balance at the end of year 2 HP10BII financial calculator AMORT 13 24 52 457 00 f 3 471 88 f 0 02 h YOU CAN CHECK THESE NUMBERS AGAINST THE AMORTISATION SCHEDULE in section 14 2 that was completed using Microsoft Excel 15 1 Calculating the intalment payment PMT for a financial transaction Ordinary Annuity with ...

Page 9: ...81 4 434 53 22 846 79 20 R 4 707 35 228 47 4 478 88 18 367 91 21 R 4 707 35 183 68 4 523 67 13 844 24 22 R 4 707 35 138 44 4 568 90 9 275 33 23 R 4 707 35 92 75 4 614 59 4 660 74 24 R 4 707 35 46 61 4 660 74 0 00 15 3 Amortising the payments to calculate the amount of capital and interest paid and the balance at the end of each year This step follows directly on your calculation of the instalment ...

Page 10: ...semi annually in arrears What price would the company pay for the bond HP10BII financial calculator KEYS DISPLAY Must not display BEGIN CLEAR ALL 0 00 15 2 I YR 7 50 6 x 2 N 12 00 1 000 FV 1 000 00 100 2 PMT 50 00 1 P YR 1 00 PV 806 62 18 Calculating the yield to maturity This is extremely difficult to calculate when using a formula approach without a financial calculator The nominal face coupon v...

Page 11: ...1 1 700 2 1 500 3 1 800 4 1 900 If the weighted average cost of capital WACC is 15 what is the Net Present Value of this project What is the Internal Rate of Return of the above cash flows HP10BII financial calculator KEYS DISPLAY Must not display BEGIN CLEAR ALL 0 00 1 P YR 1 00 1 000 CFj 1 000 00 1 700 CFj 1 700 00 1 500 CFj 1 500 00 1 800 CFj 1 800 00 1 900 CFj 1 900 00 15 I YR 15 00 NPV 925 81...

Reviews: