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MOS 3310A (3)

Bill Dawson (3)

Chapter 5

# Management and Organizational Studies 3310A Chapter Notes - Chapter 5: Interest, Cash Flow, Nominal Interest Rate

by OC2649365

School

Western UniversityDepartment

Management and Organizational StudiesCourse Code

MOS 3310AProfessor

Bill DawsonChapter

5This

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5.1 Future Values and Compound Interest

Financial decisions require comparisons of cash payments at different dates.

Since a dollar today does not have the same value as a dollar tomorrow, a relationship has to be

established to compare cash flows at different times.

Future value is the amount to which a present value will grow after earning interest.

There are two kinds of interest that money can earn:

o Simple interest- Interest only earned on original investment

o Compound interest-Interest is earned on the value of money that is in the account at

the beginning of the period. Thus, previous period’s earned interest can also earn

interest on the next period. Formula:

o

Time Value Tables:

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5.2 Present Values

Present value is the value today of a future cash flow.

How much do you need to invest today into an account paying compound interest at the rate of

5% per year, in order to receive $1477.45 at the end of eight years? (ANS: FV= I x (1+r)^t Thus:

PV= 1477.45/(1.05)^8=$1000)

Formula:

Present Values:

Example:

You have been offered $1 million five years from now. If the interest rates is expected to be

10% per year, how much is this prize worth to you in today’s dollars? -EXAM Question

ANS: 1000000/1.1^5=$620921

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Finding the Interest rate:

Use your financial calculator

Use the tables – look up the discount factor

Rearrange the expression

Example:

PV = 712.99; t = 5 year period; FV=1000

What is the discount rate?

Financial Calculator:

The basic financial calculator uses 5 keys that correspond to the inputs for common problems

involving the time value of money.

◦ N = number of periods (t in formula)

◦ i = the interest rate per period, expressed as a percentage (not a decimal, ie. 8 for 8%,

not .08)

◦ PV = present value

◦ FV = future value

◦ PMT = amount of any recurring payment (called an annuity). For single cash-flow

problems (the ones we have done so far), PMT = 0.

Given any 4 of these inputs, the calculator will calculate the 5th.

5.3 Multiple Cash Flows

Future Value of Multiple Cash Flows

Example:

You deposit $1,200 in your bank account today; $1,400 one year later; and $1,000 two years

from today. If your bank offers you an 8% interest rate on your account, how much money will

you have in the account three years from today?

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