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Compounding Frequency, Time Value, and Effective Annual Rates For each of the cases in the table below: Calculate the future value at the end of

  1. Compounding Frequency, Time Value, and Effective Annual Rates For each of the cases in the table below:
    1. Calculate the future value at the end of the specified deposit period
    2. Determine the effective annual rate (EAR) for parts A, B, C, and D
    3. Compare the nominal rate, r, to the EAR. What relationship exists between compounding frequency and the nominal and effective rates?

Part

Initial deposit

Nominal rate r

Compounding frequency

Deposit period (years)

FV

EAR

A

$5,000

6%

2

5

$6,719.58

6.09

B

$75,000

10%

4

3

$80,693.33

10.38

C

$2,000

5%

12

10

$3,294.02

5.12

D

$2,000

5%

Continuous

10

$3,297.44

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