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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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Answer:

6%

Explanation:

As per given data

Quarter     Real GDP ($billions)     Long-Run Trend of Real GDP ($billions)

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   2                     4,160                                    4,120

   3                     4,326                                    4,244

   4                     4,413                                    4,371

   5                     4,501                                    4,502

   6                     4,591                                    4,637

   7                     4,499                                    4,776

   8                     4,409                                    4,919

   9                     4,673                                    5,067

   10                    4,954                                    5,219

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Growth of GDP = (DGP of Current/recent period - GDP of Prior period) / DGP of Prior period

In this question prior period is quarter 10 and current /recent period is quarter 11.

So, formula will be

Growth of GDP = (DGP of quarter 11 - GDP of quarter 10) / GDP of quarter 10

As we need to calculate the real GDP growth the formula will be as follow

Growth of real GDP = (Real DGP of quarter 11 - Real GDP of quarter 10) / Real GDP of quarter 10

Growth of real GDP = ($5,252 billion - $4,954 billion) / $4,954 billion

Growth of real GDP = $298 billion / $4,954 billion

Growth of real GDP = 6.02% = 6%

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