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dusya [7]
3 years ago
10

Assume that a one-year CD purchased for $1000 pays an APR of 10% that is compounded semi-annually. How much is in the account at

the end of each compounding period? (Calculate the interest and compound it each period rather than using the compound interest formula. Round your answers to the nearest cent.)
Business
1 answer:
vfiekz [6]3 years ago
6 0

Answer:

<u><em></em></u>

  • <em>At the end of the first compounding period: </em><u>$1,050.00</u>
  • <em>At the end of the second compounding period: </em><u>$1,102.50</u>

Explanation:

<u />

<u>1. First period:</u>

  • Investment: $1,000

  • <em>APR =  10%</em> = 0.1 compounded semi-annually.

  • <em>Semi-annually compound interest</em>: 0.1 / 2 = 0.05

  • Interest earned at the end of the first period: $1,000 × 0.05 = $50.00

  • Amount in the accoun at the end of the first period:

                                                        $1,000.00 + $50.00 = $1,050.00

<u>2. Second period</u>

  • Amount in the account beginning the second period: $1,050.00

  • Semi-annually compound interest: 0.1 / 2 = 0.05

  • Interest earned in the second period:

                                                      $1,050.00  × 0.05 = $50.00 = $52.50

  • Amount in the account at the end of the second period:

                                                     $1,050.00 + $52.50 = $1,102.50

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I wasn't able to access the Chester Income Statement but I successfully accessed a similar question Digby.

The Complete Question is as under:

Refer to the HR Reports in the Inquirer. Through past investments in recruiting and training Digby has obtained a productivity index of 109.6%. This means that Digby's labor costs would be increased by 9.6% if it did not have these productivity improvements. This is a competitive advantage that Digby can sustain or even widen further if its competitors have no HR initiatives. Now, refer to the Income Statement in Digby's Annual Report. How much did Digby's productivity improvements save it in direct labor costs (in thousands) last year?

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3 0
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