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Present Value Definition
Earlier money on a timeline
Future Value
Later money on a timeline
Interest Rate
“exchange rate” between earlier between and later money
Examples of Interest Rate
Discount rate
Cost of capital
Opportunity cost of capital
Required return
Future Value Formula
PV (1 + r)t
r =
period interest rate, expressed as a decimal
t =
number of periods
Present Value Formula
(FV)(1/(1+r)t
What does it mean when we talk about “discounting?”
Finding the present value for some future amount
What does it mean when we talk about the “value” of something?
The present value unless indicated otherwise
Simple Interest
money or interest earned on initial investment
Compound Interest
money or interest earned on initial investment and interest earned
“Interest on Interest”
First City Bank pays 4.4 percent simple interest on its savings account balances, whereas Second City Bank pays 8.6 percent interest compounded annually.
If you made a $756 deposit in each bank, how much more would the Second City Bank account be worth than the First City Bank account at the end of 2 years?
$69
First City Bank pays 1.5 percent simple interest on its savings account balances, whereas Second City Bank pays 7.2 percent interest compounded annually.
If you made a $929 deposit in each bank, how much more would the Second City Bank account be worth than the First City Bank account at the end of 4 years?
$242
Solve for Future Value
PV | $28,225 |
Years | 15 |
Interest Rate | 0.136 |
$191,121
Solve for Present Value
Future Value | 466,321 |
Years | 2 |
Interest Rate | 10.3% |
$383,296