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Margaret [11]
2 years ago
8

ou are planning to save for retirement over the next 30 years. To do this, you will invest $890 per month in a stock account and

$490 per month in a bond account. The return of the stock account is expected to be 10.9 percent, and the bond account will pay 6.9 percent. When you retire, you will combine your money into an account with a return of 7.9 percent. How much can you withdraw each month from your account assuming a 25-year withdrawal period
Business
1 answer:
Romashka [77]2 years ago
7 0

Answer:

Monthly withdraw= $23,294.99

Explanation:

Giving the following information:

Stock:

Monthly deposit= $890

Number of periods= 30*12= 360

Interest rate= 0.109 / 12= 0.0091

Bond:

Monthly deposit= $490

Number of periods= 30*12= 360

Interest rate= 0.069 / 12= 0.00575

<u>First, we need to calculate the amount of money collected at the moment of retirement. We need to use the following formula on each investment:</u>

<u />

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Stock:

FV= {890*[(1.0091^360) - 1]} / 0.0091

FV= $2,452,918.1

Bond:

FV= {490*[(1.00575^360) - 1]} / 0.00575

FV= $586,123.47

Total FV= 2,452,918.1 + 586,123.47

Total FV= $3,039,041.57

<u>Now, the monthly withdrawal for 25 years:</u>

<u />

Number of periods= 25*12= 300

Interest rate= 0.079 / 12= 0.0066

Monthly withdraw= (FV*i) / [1 - (1+i)^(-n)]

Monthly withdraw= (3,039,041.57*0.0066) / [1 - (1.0066^-300)]

Monthly withdraw= $23,294.99

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The consolidation worksheet entries for December 31, 2020, and December 31, 2021 is: Debit Common Stock -Abernethy                           $250000; Debit  Additional paid-n capital – Abernethy $50,000; Debit Retained earnings   $431,110; Credit Investment in Abernethy $731,110.

<h3> Consolidation worksheet entries </h3>

December 31, 2020

Entry S

Debit Common Stock -Abernethy                           $250000

Debit  Additional paid-n capital – Abernethy           $50,000

Debit Retained earnings                                           $431,110

($731,110-$250,000-$50,000)

Credit Investment in Abernethy                               $731,110

(Elimination entry for Abernethy common stock)

Entry A          

Debit Goodwill                                             $107,510

Credit Investment in Abernethy                                            $107,510

($731,110-$250,000+$323,600+$50,000)

(To recognize excess acquisition cost as goodwill)

Entry I            

Debit Equity in Earnings of Subsidiary      $129,000

Credit Investment in Abernethy                           $129,000

(Elimination entry for inter-company income for 2020)

Entry D          

Debit Investment in Abernethy                    $16,000

Credit Dividends paid                                               $16,000

(Elimination of inter-company dividend payments)

Entry E            

No Journal Entry Required

(Unamortized goodwill under the partial equity method)

Entry C          

No Journal entry required

(Goodwill unamortized)

December 31, 2021

Entry S

Debit Common Stock – Abernethy                         $250,000

Debit Additional-Paid-in Capital –Abernethy         $50,000

Debit Retained Earnings –Abernethy                        $431,110

($731,110-$250,000-$50,000)

Credit Investment in Abernethy                             $731,110

(Elimination entry of beginning stockholder’s equity balances of Subsidiary)

Entry A

Debit Goodwill                                                         $145,000

Credit Investment in Abernethy                                $145,000

(To record goodwill balance)

Entry I

Debit Equity in Earnings in Subsidiary                   $176,000

Credit Investment in Abernethy                                $176,000

(Elimination of inter-company accrual for the year 2021)

Entry D

Debit Investment in Abernethy                                $38,000

Credit Dividends Paid                                               $38,000

(Elimination of inter-company dividend payments)

Entry E            

No journal entry is required

Therefore the entries is: Debit Common Stock -Abernethy                           $250000; Debit  Additional paid-n capital – Abernethy $50,000; Debit Retained earnings   $431,110; Credit Investment in Abernethy $731,110.

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