financial algebra © cengage learning/south-western warm-upwarm-up grab a paper from the back and...
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Financial Algebra© Cengage Learning/South-Western
Warm-UpWarm-Up
Grab a paper from the back AND pull out Friday’s notes
Manny invests $40,000 in a one year CD paying an annual interest rate of 6.55%. The interest is compounded daily. Find the APY for Manny’s account.
Slide 11
Financial Algebra© Cengage/South-Western Slide 22
3-6CONTINUOUS COMPOUNDING
Compute interest on an account that is continuously compounded.
OBJECTIVES
Financial Algebra© Cengage Learning/South-Western Slide 33
limit finite infinite continuous compounding exponential base (e) continuous compound interest formula
Key Terms
Financial Algebra© Cengage Learning/South-Western Slide 44
How can interest be compounded How can interest be compounded continuously?continuously?
Can interest be compoundedDaily?Hourly?Each minute?Every second?
If $1,000 is deposited into an account and compounded at 100% interest for one year, what would be the account balance at the end of the year?
Financial Algebra© Cengage Learning/South-Western
Continuous CompoundingContinuous Compounding
Interest can also be compounded continuouslyNot just daily, but every second, every micros
second – NON STOPInterest that is continuously compounded
follows the following formula
e = 2.71828
Slide 55
Financial Algebra© Cengage Learning/South-Western Slide 66
EXAMPLE 5EXAMPLE 5 If you deposited $1,000 at 100% interest, compounded
continuously, what would your ending balance be after one year?
Financial Algebra© Cengage Learning/South-Western Slide 77
EXAMPLE 6EXAMPLE 6 If you deposit $1,000 at 4.3% interest, compounded
continuously, what would your ending balance be to the nearest cent after five years?
Financial Algebra© Cengage Learning/South-Western Slide 88
Craig deposits $5,000 at 5.12% interest, compounded continuously for four years. What would his ending balance be to the nearest cent?
CHECK YOUR UNDERSTANDING
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