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KengaRu [80]
2 years ago
13

Dan plans to fund his individual retirement account (IRA) with the maximum contribution of $2,000 at the end of each year for th

e next 10 years. If Dan can earn 10 percent on his contributions, how much will he have at the end of the tenth year
Business
1 answer:
slamgirl [31]2 years ago
8 0

Answer:

$31,874

Explanation:

In this question, we are asked to calculate how much Dan would have at the end of the 10th year if he contributes a maximum of $2000 at the end of each year for the next 10 years and earns 10% on his contribution.

This kind of problem can be solved using the annuity formula I.e the annuity formula can be used to calculate the accumulated value at the end of the 10th year.

Annuity refers to a series of payment that is made at equal time intervals

Mathematically, the future value of an annuity =

Annuity payment * [(1 + r)^n - 1]/r

Where r is the discount rate and n is the number of years.

In this question, we have identified the following to be used in the formula.

Annuity payment = the maximum payable contribution per year = $2000

Number of years = 10 years

The discount rate = 10% = 10/100 = 0.1

We plug these values in the formula:

Future accumulated value = 2,000 * [(1+0.1)^10 - 1]/0.1 = 2,000 * [(1+0.1)^10 - 1)]/0.1

= 2,000 * (2.5937-1)/0.1 = 2,000 * (1.5937)/0.1 = 2,000 * 15.937 = $31,874

The accumulated value of the annuity payment is $31,874

You might be interested in
The following transactions apply to Jova Company for Year 1, the first year of operation:
aleksandr82 [10.1K]

Answer:

<u>Year 1: </u>

a. Issued $17,000 of common stock for cash.  ⇒ ASSET SOURCE

Dr Cash 17,000

    Cr Common stock 17,000

b. Recognized $63,000 of service revenue earned on account.  ⇒ ASSET SOURCE

Dr Accounts receivable 63,000

    Cr Service revenue 63,000

c. Collected $56,400 from accounts receivable.   ⇒ ASSET EXCHANGE

Dr Cash 56,400

    Cr Accounts receivable 56,400

d. Paid operating expenses of $36,600.   ⇒ ASSET USE

Dr Operating expense 36,600

    Cr Cash 36,600

e. Adjusted accounts to recognize uncollectible accounts expense. Jova uses the allowance method of accounting for uncollectible accounts and estimates that uncollectible accounts expense will be 2 percent of sales on account. ⇒ ASSET USE  

Dr Bad debt expense 132

    Cr Allowance for doubtful accounts 132

<u>Year 2:</u>

a. Recognized $70,500 of service revenue on account.   ⇒ ASSET SOURCE

Dr Accounts receivable 70,500

    Cr Service revenue 70,500

b. Collected $64,400 from accounts receivable.  ⇒ ASSET EXCHANGE

Dr Cash 64,400

    Cr Accounts receivable 64,400

c. Determined that $860 of the accounts receivable were uncollectible and wrote them off.  ⇒ ASSET EXCHANGE

Dr Bad debt expense 860

    Cr Accounts receivable 860

d. Collected $300 of an account that had previously been written off.  ⇒ ASSET EXCHANGE

Dr Accounts receivable 300

    Cr Bad debt expense 300

Dr Cash 300

    Cr Accounts receivable 300

e. Paid $48,100 cash for operating expenses.  ⇒ ASSET USE

Dr Operating expense 48,100

    Cr Cash 48,100

f. Adjusted the accounts to recognize uncollectible accounts expense for Year 2. Jova estimates uncollectible accounts expense will be 1 percent of sales on account.  ⇒ ASSET USE

Dr Bad debt expense 117

    Cr Allowance for doubtful accounts 117

<u>trial balance year 1</u>

Dr Cash 36,800

Dr Accounts receivable 6,468

Cr Common stock 17,000

Cr Service revenue 63,000

Dr Operating expense 36,600

Dr Bad debt expense 132

Income Statement

<u>Year 1</u>

Service revenue                                       $63,000

Expenses:

  • Operating expense $36,600
  • Bad debt expense $132                 <u>($36,732)</u>

Net income                                                $26,268

Balance Sheet

<u>Year 1</u>

Assets:

Cash $36,800

Accounts receivable $6,468

Total Assets $43,268

Equity:

Cr Common stock 17,000

Retained earnings $26,268

Total equity $43,268

Statement of changes in stockholders' equity

<u>Year 1</u>

Beginning balance                       $0

Common stock issued               $17,000

Net income                              <u>  $26,268</u>

Ending balance                          $43,268

<u>trial balance year 2</u>

Dr Cash 16,600

Dr Accounts receivable 5,123

Cr Service revenue 70,500

Dr Operating expense 48,100

Dr Bad debt expense 677

Income Statement

<u>Year 2</u>

Service revenue                                       $70,500

Expenses:

  • Operating expense $48,100
  • Bad debt expense $677                 <u>($48,777)</u>

Net income                                                $21,723

Statement of changes in stockholders' equity

Beginning balance:

Common stock issued               $17,000

Retained earnings                     $26,268

Net income                               <u>  $21,723</u>

Ending balance                          $64,991

Balance Sheet

<u>Year 2</u>

Assets:

Cash $53,400

Accounts receivable $11,591

Total Assets $64,991

Equity:

Cr Common stock 17,000

Retained earnings $47,991

Total equity $64,991

Statement of cash flows

<u>Year 2</u>

Net income                                           $21,723

Adjustments to net income:

Increase in accounts receivable         <u>($5,123)</u>

Net cash from operating activities     $16,600

Net cash increase                               $16,600

Beginning cash balance                    <u>$36,800</u>

Ending cash balance                         $53,400  

3 0
2 years ago
Janet Foster bought a computer and printer at Computerland. The printer had a $900 list price with a $100 trade discount and 2/1
nikdorinn [45]

Answer:

Janet Foster

a. Janet could save $12.44 on the printer by borrowing $800 to take advantage of the cash discount.

b. On the computer, the difference in the final payment between choices 1 and 2 is $197.

It is advisable for Janet to choose the first option.

Explanation:

a) Data and Calculations:

Printer:

List price of printer = $900

Trade discount =          100

Purchase cost =        $800

Cash discount terms = 2/10, n/30

Cash discount = $16 ($800 * 2%)

Interest on loan to purchase printer = $3.56 ($800 * 8% * 20/360)

Savings if loan is borrowed = $12.44 ($16 - $3.56)

Computer:

List price = $4,060

Trade discount = 25% or $1,015 ($4,060 * 25%)

Purchase cost = $3,045

Payment options:

1) = $160 * 17 months = $2,720

Balance on 18th month    325

Total payment =           $3,045

2) = Payment with 8% interest for 18 months equal payment = $180.08

From an online financial calculator:

N (# of periods)  18

I/Y (Interest per year)  8

PV (Present Value)   $3,045

FV (Future Value)  0

P/Y (# of periods per year)  12

C/Y (# of times interest compound per year)  12

PMT made at the end of each period

Results

PMT = $180.08

Sum of all periodic payments $3,241.48

Total Interest $196.48

Difference in final payment:

Choice 1 , total payment =    $3,045

Choice 2, total payment =    $3,242

Difference in final payment = $197

6 0
2 years ago
The weekly payroll of Wolverine Corporation is $3,000. Employees work five days per week, Monday through Friday. December 31, 20
ruslelena [56]

Answer:

The answer is: D) Accounts:

                             Salaries Expense: Debit = 1,200

                             Salaries Payable : Credit = 1,200

Explanation:

Salaries expense is a type of expense account (all expense accounts are temporary accounts). When expenses are recorded, they should be debited.

  • Debit record

        Salaries expense 1,200

Salaries payable is a liability account. When liabilities increase, they should be credited.

  • Credit  record

        Salaries payable 1,200

6 0
3 years ago
from the information about chobani in the case and at the start of the chapter, (a) who did hamdi ulukaya identify as the target
Mashcka [7]

from the information about chobani in the case and at the start of the chapter, (a) who did hamdi ulukaya identify as the target market for his first cups of greek yogurt and (b) what was his initial "4ps" marketing strategy?

a. Target market for Chobani Greek Yogurt. Hamdi Ulukaya saw his Chobani Greek Yogurt as appealing to all American consumers—the mass market—when he first introduced his Greek Yogurt in the United States. That is exactly the reason that he wanted distribution in the dairy cases of major U.S. grocery and supermarket chains, and not in their niche sections or in health food or specialty stores.

Now, with the introduction of its Champions line of Greek Yogurts, Chobani is reaching the kids' market segment. With its 2013 introduction of Chobani Bite in a smaller 3.5-ounce cup, Chobani is trying to reach a "snack" market segment. And with Chobani Flip, it is trying to reach an experimenting, gourmet market segment who add "mix-ins" to regular Chobani Greek Yogurt.

b. Chobani's initial 4Ps marketing strategy. Consists of the following marketing actions:

· Product strategy. Offer a Greek Yogurt for a mass market that is healthier than competing U.S. yogurts and does not have artificial ingredients and preservatives.

· Price strategy. Priced affordably at $1.29 for a single-serve cup that is accessible to all.

What is Marketing strategy?

A marketing strategy is a long-term plan for attaining a business' objectives through an understanding of client needs and the development of a distinct and long-lasting competitive advantage. It includes everything, from choosing which channels to utilize to contact your customers to figuring out who they are.
To learn more about marketing strategy from the given link:

brainly.com/question/25640993

4 0
2 years ago
Select the best (most informative) answer. present value involves _____ whereas future value involves _____.
Marina CMI [18]
Present Value involves discounting, and future value involves compounding.

The find present value of a dollar a year from now, we must discount by the discount rate, since a dollar a year from now is not worth as much as a dollar today.

To find the future value (in a year) of a dollar we receive today, we increase the dollar by the discount rate, since our dollar today is worth more than a dollar a year from now. 
4 0
3 years ago
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