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elena55 [62]
3 years ago
13

Muhammad, a 21-year old computer engineer, is opening an individual retirement account (IRA) at a bank. His goal is to accumulat

e $2.5 million in the IRA by the time he retires in 46 years. Muhammad expects his IRA to receive 8% nominal annual interest, compounded semiannually, throughout the 46 years. As a computer engineer, Muhammad believes his salary will increase at a constant 4% annual rate during his career. Muhammad wishes to make annual deposits into his IRA account over the 46 years. He wishes to start his IRA with the lowest possible deposit and then increase his deposit amount at a constant 4% rate each year.
Assuming end-of-year deposits, how much should she deposit the first year?
Business
1 answer:
zavuch27 [327]3 years ago
3 0

Answer:

The first annual depoisit will be of 3,373.49 dollars

Explanation:

Given the formula for future growing annuity

we need to solve for the yearly payment:

grow rate:  0.04

annual effective rate: 8% compounding semiannually:

(/1+0.08/2)^2-1 = r_e\\

r= 0.0816

FV 2,500,000

n 46

<em><u>Formula for future value fo an ordinary annuity:</u></em>

C_0 \times \frac{(1+r)^n-(1+g)^n}{r-g}  = FV

C_0 \times \frac{(1+0.0816)^{46}-(1+0.04)^{46}}{0.0816-0.04}  = 2,500,000\\C_0 = $3,373.4855

The first annual depoisit will be of 3,373.49 dollars

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<em>It chooses (D) Direct investment exporting  strategy</em>

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<u>Explanation:</u>

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5 0
3 years ago
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Channeling funds from individuals with surplus funds to those desiring funds when the saver does not purchase the borrower's sec
Solnce55 [7]

Answer: Financial Intermediation.

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6 0
3 years ago
Which of the following activities is not a component of the operating cycle?A)Sale of merchandiseB)Payment of employees' salarie
Sloan [31]

Answer:

B)Payment of employees' salaries

Explanation:

Operating cycle: The operating cycle is that cycle in which the firm makes the collection of cash with respect to the sales and make the payment with respect to the purchase of the inventory

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In mathematically,  

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Thus, option B is correct.

8 0
3 years ago
Beginning inventory, purchases and sales data for tennis rackets are as follows:
IRISSAK [1]

Answer:

Cost of goods sold = $836

Ending inventory = $315

Explanation:

a) Data and Calculations:

Date     Description    Units  Unit Price  Balance

Apr. 1    Inventory         12         $45       $540

Apr. 11  Purchase          13         $47       $1,151 ($540 + 13 * $47)

Apr. 14 Sale                 (18)      $100        $315 ($7 * $45)

Sales revenue = $1,800 ($100 * 18)

Cost of goods sold = $836 ($47 * 13 + $45 * 5)

Ending inventory = $315  ($7 * $45)

b) Under the LIFO (Last in, First out) inventory valuation method, it is assumed that goods that were purchased closest to the selling date were the ones to be sold while those purchased earlier remain in inventory.

4 0
2 years ago
The following transactions occur for Cardinal Music Academy during the month of October:
tamaranim1 [39]

Answer:

The entries to record the transactions are given below.

a. Provide music lessons to students for $7,000 cash.

Debit Cash Asset                          $ 7000

CreditService Revenue income   $ 7000

b. Purchase prepaid insurance to protect musical equipment over the next year for $3,000 cash.

Debit Prepaid Insurance equipment Asset $ 3000

Credit Cash Asset                                          $ 3000

c. Purchase musical equipment for $10,000 cash.

Debit Equipment Asset    $ 10,000

Credit Cash Asset            $ 10,000

d. Obtain a loan from a bank by signing a note for $10,000

Debit Cash Asset            $ 10,000

Credit Notes payable     $ 10,000

7 0
3 years ago
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