background image

LUMPSUMS

 

 

FUTURE

 

VALUES

 

AND

 

PRESENT

 

VALUES

 

 

Colin

 

C

 

Smith

 

2010

 

3

*

 

see

 

getting

 

started

 

 

1.

 

Simple

 

Future

 

Value

 

(FV)

 

 

 

You

 

borrow

 

R5,000

 

from

 

a

 

friend

 

at

 

8%

 

p.a.

 

interest

 

to

 

be

 

compounded

 

annually.

  

Capital

 

and

 

interest

 

is

 

repayable

 

in

 

5

 

years

 

time.

 

How

 

much

 

will

 

you

 

repay?

 

 

 

 

HP10BII

 

financial

 

calculator

 

KEYS

 

DISPLAY

 

*Must

 

not

 

display

 

BEGIN

 

C

 

ALL

0.00

5,000

  

+/

‐  

PV

5,000.00

 

8

  

I/YR

 

8.00

 

5

 

N

 

5.00

 

FV

 

7,346.64

 

 

 
 

2.

 

Future

 

Value

 

(FV)

 

with

 

frequent

 

compounding

 

 

 

You

 

have

 

saved

 

R10,000

 

and

 

invest

 

this

 

in

 

a

 

fixed

 

deposit

 

with

 

a

 

bank

 

at

 

10.5%

 

compounded

 

quarterly

 

for

 

4

 

years.

 

How

 

will

 

you

 

receive

 

in

 

4

 

years

 

time?

 

 

 

 

HP10BII

 

financial

 

calculator

 

KEYS

 

DISPLAY

 

*Must

 

not

 

display

 

BEGIN

  

C

 

ALL

 

0.00

 

10,000

  

+/

 

PV

10,000.00

 

10.5

 

÷

 

4

  

I/YR

 

2.63

 

4

 

x

 

4

  

N

 

16.00

 

FV

 

15,137.38

 
 

 

 

3.

 

Simple

 

Present

 

Value

 

(PV)

 

 

 

You

 

have

 

just

 

turned

 

20

 

years

 

of

 

age

 

and

 

your

 

late

 

Uncle

 

Scrooge

 

bequeathed

 

you

 

an

 

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

 

10.00

 

5

  

N

 

5.00

 

PV

 

3,104.61

 
 

 

 

4.

 

Present

 

Value

 

(PV)

 

with

 

frequent

 

compounding

 

 

 

Uncle

 

George

 

is

 

more

 

generous

 

and

 

leaves

 

you

 

a

 

substantial

 

inheritance.

  

You

 

want

 

to

 

set

 

aside

 

and

 

amount

 

to

 

buy

 

your

 

dream

 

car

 

when

 

you

 

complete

 

your

 

trainee

 

contract

 

in

 

5

 

years

 

time.

  

Estimates

 

are

 

that

 

the

 

dream

 

car

 

will

 

cost

 

R220,000

 

at

 

that

 

time.

  

A

 

bank

 

is

 

offering

 

you

 

a

 

5

 

year

 

fixed

 

deposit

 

at

 

11.5%

 

compounded

 

monthly

 

for

 

5

 

years.

  

How

 

much

 

should

 

you

 

invest

 

today?

 

 

The

 

–ve

 

amount

 

reflects

 

what

 

should

 

be

 

paid

 

today.

 

 

 

HP10BII

 

financial

 

calculator

 

KEYS

 

DISPLAY

 

*Must

 

not

 

display

 

BEGIN

  

C

 

ALL

 

0.00

 

220,000

  

FV

220,000.00

 

11.5

 

÷

 

12

  

I/YR

 

0.96

 

5

 

x

 

12

  

N

 

60.00

 

PV

 

124,134.45

 
 

 

 

Содержание HP10BII

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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 ...

Страница 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 ...

Страница 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 ...

Страница 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...

Страница 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...

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