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Feliz [49]
3 years ago
9

You won the lottery and may choose between Prize 1, which would pay you $50,000 today and $200,000 at the end of 10 years OR rec

eive $50,000 today plus some annuity at the end of each year for 10 years. Using an interest rate of 5%, which of the following comes closest to the annuity that will make the present value of both prizes the same?
a. $172,782.65.
b. $38,431.68.
c. $122,782.65.
d. $15,900.91.
Business
1 answer:
Taya2010 [7]3 years ago
5 0

Answer:

Annual payment= $15,900.91

Explanation:

<u>First, we need to calculate the present value of Prize 1:</u>

PV= FV / (1 + i)^n

PV= 50,000 + [200,000 / (1.05^10)]

PV= $172,782.65

<u>Now, we need to determine the annuity that would make equal both prizes:</u>

Difference= 172,782.65 - 50,000= $122,782.65

To calculate the annuity that would have a PV of $122,782.65; we need to use the following formula:

Annual payment= (PV*i) / [1 - (1+i)^(-n)]

Annual payment= (122,782.65*0.05) / [1 - (1.05^-10)]

Annual payment= $15,900.91

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To buy a certain security using dollar cost averaging, an investor must make regular payments (let's say monthly) of a set dollar amount (let's say $100 per month).

<h3> What is dollar cost averaging?</h3>

The practice of investing a set dollar amount on a regular basis, independent of the share price, is known as dollar cost averaging. It's a terrific method to form a disciplined investing habit, increase your investment efficiency, and possibly reduce your stress—as well as your expenses.

Say you put $100 away each month. Your $100 will buy fewer shares when the market is up, but more shares when the market is down. While compared to what you would have paid if you had purchased all of your shares at once when they were more costly than the average, this technique may eventually lower your average cost per share.

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5 0
1 year ago
(A) If variances are prorated at the end of the accounting period, an unfavorable direct materials price variance will, when pro
charle [14.2K]

Answer:

Both A and B are correct.

Explanation:

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3 years ago
on january 1, 2021, adams-meneke corporation granted 15 million incentive stock options to division managers, each permitting ho
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Divided by: No. of years in vesting period (2021,2022 & 2023) 3 Years

Compensation expense for the stock option plan in 2021. is $ 120 Millions

  •                     <u>Amounts are expressed in millions $.</u>

<u>Date </u>                   <u>General journal </u>                     <u>debit</u>             <u>Credit </u>

31st Dec, 2021 Compensation expense            $ 120

                     Paid in capital – stock options                     $ 120

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Less: recognized in earlier year is $ 120

Compensation expense For Year 2022 is $ 96

Cumulative Compensation expense Up to Year 2023 (360*90%*3/3)  

                                                                                          = $ 324

Less: recognized in earlier year is $ 216

Compensation expense For Year 2023 is $ 108

  •                        <u>Amounts are expressed in millions $.</u>

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31st Dec, 2023 Compensation expense           $ 96  

                      Paid in capital – stock options                    $ 96

     

31st Dec, 2023 Compensation expense    $ 108  

                      Paid in capital – stock options                   $ 108

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3 0
1 year ago
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My name is Ann [436]

Answer:

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Explanation:

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