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grandymaker [24]
3 years ago
15

Obviously, the lifetime membership isn’t a good deal if you only remain a member for a couple of years, but if you remain a memb

er for 40 years, it’s a great deal. Suppose that the appropriate annual interest rate is 7.9%. What is the minimum number of years that Lloyd must remain a member of the ADLA so that the lifetime membership is cheaper (on a present value basis) than paying $750 in annual membership dues? (Note: Round your answer up to the nearest year.)
Business
1 answer:
earnstyle [38]3 years ago
7 0

Question:

Lloyd is a divorce attorney who practices law in Florida. He wants to join the American Divorce Lawyers Association (ADLA), a professional organization for divorce attorneys. The membership dues for the ADLA are $800 per year and must be paid at the beginning of each year. For instance, membership dues for the first year are paid today, and dues for the second year are payable one year from today. However, the ADLA also has an option for members to buy a lifetime membership today for $8,500 and never have to pay annual membership dues.

Obviously, the lifetime membership isn't a good deal if you only remain a member for a couple of years, but if you remain a member for 40 years, it's a great deal. Suppose that the appropriate annual interest rate is 7.9%. What is the minimum number of years that Lloyd must remain a member of the ADLA so that the lifetime membership is cheaper (on a present value basis) than paying $800 in annual membership dues?

A. 14 years

B. 13 years

C. 19 years

D. 23 years

Answer:

19 years (Kindly note the above question is bit different in numbers because I was unable to find the remainder part of your question. But it provides excellent understanding of the question).

Explanation:

Here, we have four options and we will start finding "Advance Annuity" from the least number which is 13% and then we move to a greater number.

<u></u>

<u>Best Choice:</u>

The best choice will be the one which is almost equal to or smaller than the value of the lifetime membership $8,500 and takes least time.

<u></u>

<u>For 13 Years</u>

Annuity = Cashflow * (1 + Annuity Factor at 7.6%)

Annuity at 7.6% for 13 years = (1 -  (1 + 7.6%)^-(13 - 1) / 7.6% = 7.6948

Annuity = $800 * (1 + 7.6948) =  $6,956

<u>Similarly for 14 Years:</u>

Advance Annuity = Cashflow * (1 + Annuity Factor at 7.6%)

Advance Annuity at 7.6% for 14 years = (1 -  (1 + 7.9%)^-(14 - 1) / 7.6% = 8.0807

Advance Annuity = $800 * (1 + 8.0807) = $7265

<u>Similarly for 19 Years:</u>

Advance Annuity = Cashflow * (1 + Annuity Factor at 7.6%)

Advance Annuity at 7.6% for 19 years = (1 -  (1 + 7.9%)^-(19 - 1) / 7.6% = 9.6377

Advance Annuity = $800 * (1 + 9.6377) = $8510.16

As the annuity value slightly crosses $8500, hence it is somewhat between 18 to 19 years. Thatswhy we will not consider the last option with 23 years as the nearest option is 19 years.

You might be interested in
The cash account for Pala Medical Co. at June 30, 20Y1, indicated a balance of $166,436. The bank statement indicated a balance
daser333 [38]

Answer:

1. Pala Medical Co. Bank Reconciliation Statement as on June 30, 20Y1    

       PARTICULARS                                                        $                 $

Balance as per cash book                                              166,436  

Add: Cheques issued but not yet presented          19,427  

 25,000 note collected by Bank                          <u>26,500  </u>

                                                                                        <u> 45,927 </u>

                                                                                       212,363  

Deduct: Checks deposited but not yet collected

         by the bank                                                             12,300  

  Overstatement of figure by the bank                      720  

  Returned check wrongly recorded by Pala

         Medical Co.                                                            3,600  

  Bank service charge                                         <u>        55   </u>

                                                                                     <u>     16,675  </u>

Balance as per bank statement as on June 30, 20Y1       <u>   </u><u>195,688  </u>

<u></u>

<u></u>

2.          DETAIL                                                                  DR            CR

                                                                                               $                  $

Cash Account                                                             25,000  

  Investment                                                                                  25,000  

Matured Investment ($25,000 Notes)  

Cash Account                                                                 1,500  

  Interst Income                                                                             1,500  

Being interest on $25,000 Notes received  

Cash Account                                                                      400  

  Creditors - Skyline Supply Co.                                                                400  

Being correction of Payment to Skyline Supply Co. wronfly recorded  

Creditors - Skyline Supply Co.                                      4,000  

  Cash Account                                                                                  4,000  

Being Payment to Skyline Supply Co.  

Bank Charges                                                                    55  

Cash Account                                                                                55  

Bank Charges recorded captured in the bank statement

3. If a balance sheet were prepared for Pala Medical Co. on June 30, 20Y1 the amount to be reported as cask is $166,436  

Explanation:

1. The balance shown by the bank statement seldom agree with the balance shown by the cash book, bank reconciliation statement is usually drawn up to  agree the balance shown by the bank statement with the balance shown by the cash book.

In this question:

a. Check  outstanding of $19,427 are checks issued to creditors which where not presented for payment. generally known as unpresented checks.

b. The receipts of $12,300 recorded in Pala Medical Co. cash book was not credited by the bank, this will obviously cause a disagreement between the bank statement and the cash book at month end.

c. The amount of $26,500 recorded in the bank statement must be reported correctly the the cash book and the relevant ledger by debiting the cash book by the total receipt of $26,500 and crediting investment and with $25,000 and crediting the interest elements to interest income account.

d. The wrong recording of $400 instead of $4000 must be corrected by reversing the initial entry. this is done by debiting Cash book with $400 and crediting Creditor account - Skyline Supply Co. with $400   and recording the correct entry by debiting Creditor account - Skyline Supply Co. with $4000 and crediting cash book by $4000.

e. The check of $195 is recorded correctly already in the cash book, it is the bank to pass the necessary entry but it will only enter the company cash book.

f. Bank service charge should be recorded by debiting bank charges with $55 and crediting cash book with $55

8 0
3 years ago
Portfolio AB has half of its funds invested in Stock A and half in Stock B. Portfolio ABC has one third of its funds invested in
Anit [1.1K]

Answer:

a) Portfolio ABC's expected return is 10.66667%.

Explanation:

Some information is missing:

Stock                Expected         Standard             Beta

                         return              deviation

A                            10%                 20%                 1.0

B                            10%                  10%                 1.0

C                            12%                  12%                 1.4

The expected return or portfolio AB = (1/2 x 10%) + (1/2 x 10%) = 10% (it is the same as the required rate for stock A or B)

The expected return or portfolio ABC = (weight of stock A x expected return of stock A) +  (weight of stock B x expected return of stock B) + (weight of stock C x expected return of stock C) = (1/3 x 10%) + (1/3 x 10%) + (1/3 x 12%) = 3.333% + 3.333% + 4% = 10.667% <u>THIS IS CORRECT</u>

Options B, C, D and E are wrong.

5 0
3 years ago
The price (P) of designer jeans is affected by the supply (S) and the demand (D).
Sedbober [7]

Answer: The answer is A, an increased  demand and no change in supply.

Explanation: I just checked.

8 0
3 years ago
Hachi is working against a deadline. she must have a term paper written by 8
rewona [7]
<span>Hachi is working against a deadline. she must have a term paper written by 8
a.m. tomorrow. the deadline is an example of a ________. Stress

</span>
6 0
3 years ago
What are aspects of a free enterprise system?
Ierofanga [76]

Answer:

A free enterprise economy has five important characteristics. They are: economic freedom, voluntary (willing) exchange, private property rights, the profit motive, and competition.

Hope this helps!

7 0
3 years ago
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