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Nina [5.8K]
3 years ago
12

2. A depositor puts $25,000 in a saving account that pays 5% interest, compounded semiannually. Equal annual withdrawals are to

be made from the account, beginning one year from now and continuing forever. What is the maximum annual withdrawal.
Business
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

The correct answer is $1265.60.

Explanation:

According to the scenario, the given data are as follows:

Present Value (PV) = $25,000

Rate of interest = 5%

Rate of interest ( semi annual) (r) = 2.5%

Time period (semi annual) = 2

So, First we calculate the effective annual interest rate,

Effective annual interest rate =  ( 1 + r)^n  = (1.025)^2 -1

=5.0625%

So, Annual Withdrawal = PV × Effective annual interest rate

by putting the value, we get

Annual withdrawal = $25,000 × 5.0625%

= $1265.60

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Equipment was acquired on January 1, 2021, for $33,000 with an estimated four-year life and $2,000 residual value. The company u
Lostsunrise [7]

Answer:

Gain= $850

Explanation:

Giving the following information:

Purchase price= $33,000

Useful life= 4 years

Residual value= $2,000

Sale= $10,600.

<u>First, we need to calculate the annual depreciation:</u>

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (33,000 - 2,000)/4= $7,750

<u>Now, we can calculate the accumulated depreciation:</u>

Accumulated depreciation= 7,750*3= $23,250

<u>To calculate the gain or loss, we need to use the following formula:</u>

Gain/loss= selling price - book value

Book value= purchase price - accumulated depreciation

Book value= 33,000 - 23,250= $9,750

Gain/loss= 10,600 - 9,750

Gain= $850

4 0
3 years ago
Zeta Co. reported sales revenue of $4,600,000 in its Income Statement for the year ended December 31, 20X1. Additional informati
Black_prince [1.1K]

Answer:

Zeta would have reported 20X1 sales of $4,280,000.

Explanation:

Note: the additional information in the question is correctly represented before answering the question as follows:

                                                                 12/31/X0              12/31/X1

Accounts receivable                              $1,000,000         $1,300,000

Allowance for uncollectible accounts      (60,000)             (110,000)

The explanation of the answer is now given as follows:

Since sales is equal to cash collections under the cash basis of accounting,  cash collected on accounts receivable can therefore be calculated as follows:

Ending balance = Beginning balance + Sales − Collections − Write-offs ......... (1)

Where;

Ending balance = $1,300,000

Beginning balance = $1,000,000

Sales = $4,600,000

Collections = ?

Write-offs = $20,000

Substituting the values into equation (1) and solve for collections, we have:

$1,300,000 = $1,000,000 + $4,600,000 − Collections − $20,000

Collections = $1,000,000 + $4,600,000 − $20,000 - $1,300,000

Collections = $4,280,000

Therefore, Zeta would have reported 20X1 sales of $4,280,000.

7 0
3 years ago
You are planning to save for retirement over the next 30 years. To do this, you will invest $750 per month in a stock account an
Alex

Answer:

The withdrawals will be of  $ 11,379.014 per month

Explanation:

Future value of the annuities:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C         750.00

time 360(30 years x 12 monhs per year)

rate 0.008333333 (10% / 12 months)

750 \times \frac{1-(1+0.00833)^{-360} }{0.008333} = PV\\

PV $1,695,365.9436

C \times \frac{(1+r)^{time} -1}{rate} = PV\\

C         250.00

time 360 (30 years x 12 monhs per year)

rate             0.005 (6% / 12 months)

250 \times \frac{(1+0.005)^{360} -1}{0.005} = PV\\

PV $251,128.7606

Total 1,695,365.84 + 251,128.76 = 1.946.494,6‬

and from here we withdraw for 25 years:

PV \div \frac{1-(1+r)^{-time} }{rate} = C\\

PV 1,946,495

time 300 (25 years x 12 months)

rate 0.004166667 (5% / 12 months)

1946494.6 \div \frac{1-(1+0.004167)^{-300} }{0.004167} = C\\

C  $ 11,379.014

6 0
3 years ago
Metlock, Inc. has 5900 shares of 6%, $50 par value, cumulative preferred stock and 118000 shares of $1 par value common stock ou
MrRa [10]

Answer:

$23900

Explanation:

Given: Cumulative Preferred stock is 5900 shares of 6% at $50.

           Dividend paid in 2019= $11500

First lets calculate the value of preferred stock.

Preferred stock= 5900 shares\times \$ 50\times \frac{6}{100}

∴ Preferred stock= $17700.

Formula:

Dividend received by preferred stockholder= [Preferred\ stock +(Preferred\ stock-Dividend\ paid)]

⇒Dividend received by preferred stockholder=17700+(17700-11500)

⇒ Dividend received by preferred stockholder= 17700+6200= \$ 23900

∴ $23900 dividend received by preferred stockholder in 2020.

4 0
3 years ago
The _____ principle holds that when industrial activity poses a risk, even if the threat is as yet poorly understood, prudence c
Nikitich [7]

<span>It is a precautionary principle when industrial activity poses a risk, even if the threat is as yet poorly understood, prudence calls for restraint. set of methods and procedures for aligning corporate strategies, policies, and operations with principles that protect ecosystems. </span>

4 0
3 years ago
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