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Rudik [331]
3 years ago
10

You have been investing $165 a month for the last 12 years. today, your investment account is worth $60,508.29. what is your ave

rage rate of return on your investments? 13.77 percent 13.80 percent 13.84 percent 13.89 percent 14.03 percent
Business
1 answer:
Tanzania [10]3 years ago
6 0
Given:
Future value, F=60508.29
Monthly payment, A = 165
Compounding period = month
Number of periods, n = 12*12=144
interest per period = i   [ to be found ]

We have the relationship
F=A((1+i)^n-1)/i
but there is no explicit formula for i for given F, A and n.
We need to solve a non-linear equation for the value of i, the monthly interest rate.
One of the ways is to solve it by fixed iteration, i.e. 
1. using the given relation, express i in terms of other parameters.
2. select an initial value of i
3. evaluate i according the equation in step 1 until the value is stable.

Here we will use the relationship to express
i=((60508.29*i)/165+1)^(1/144)-1  [ notice that i is on both sides of = sign ]
using an initial value of i=0.01 (about 1% per month).
Successively, we get
i=((60508.29*0.01)/165+1)^(1/144)-1=0.01075571
i=((60508.29*0.01075571)/165+1)^(1/144)-1=0.011160681, similarly
i=0.0113685
i=0.0114728
i=0.0115246
i=0.0115502
i=0.0115628
i=0.0115690
i=0.0115720
Assuming the above has stablilized, and the APR is 12 time the above value, namely
Annual percentage rate = 0.01157205998210142*12=0.13886=13.89%



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The following items are taken from the financial statements of the Postal Service for the year ending December 31, 2015: Account
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Answer:

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The amount that would be reported for Stockholders' Equity at December 31, 2015 is:

= $130,000.

Explanation:

a) Trial Balance

December 31, 2015:  

Cash                                         $15,000

Accounts receivable                   11,000

Supplies                                       4,000  

Prepaid insurance (12-month)    6,000

Equipment                               210,000

Accounts payable                                    $ 18,000

Accumulated depreciation – equipment  28,000

Note payable, due 6/30/16                        70,000

Common stock                                           42,000

Retained earnings (1/1/15)                          60,000

Dividends                                   14,000

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Advertising expense                 21,000

Depreciation expense              12,000

Insurance expense                    3,000

Rent expense                           17,000

Salaries and wages expense 32,000

Supplies expense                     6,000

Totals                                   $351,000 $351,000

Income Statement for the year ended December 31, 2015

Service revenue                                      $133,000

Advertising expense                 21,000

Depreciation expense              12,000

Insurance expense                    3,000

Rent expense                           17,000

Salaries and wages expense 32,000

Supplies expense                     6,000     $91,000

Net income                                              $42,000

Statement of Retained Earnings

For the year ended December 31, 2015

Retained earnings (1/1/15)                        $60,000

Net income                                                 42,000

Dividends                                                    (14,000)

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Equity:

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Retained earnings  88,000

Total equity         $130,000

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