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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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The answer is<u> "depositors".</u>


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3 years ago
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What are two recent CSR/CSI initiatives of Woolworths​
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Answer: Donating food to needy communities, and clothes

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2 years ago
A much-used and potent managerial tool for determining whether a company performs particular functions or activities in a manner
Romashka [77]

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The correct answer is letter "E": benchmarking.

Explanation:

Benchmarking is a continuous process by which products, services or work processes of leading entities are taken to be compared to our company so after the analysis improvements can be made and implemented. Benchmarking is defined as the model of excellence from which the "best practices" can be obtained in favor of our own company.

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3 years ago
On January 1, 2018, Allgood Company purchased equipment and signed a six-year mortgagenote for $186,000 at 15%. The note will be
Ne4ueva [31]

Answer:

The correct answer is A: interest= $21048

Explanation:

An amortization schedule is a complete table of periodic loan payments, showing the amount of principal and the amount of interest that comprise each payment until the loan is paid off at the end of its term. While each periodic payment is the same amount early in the schedule, the majority of each payment is interest; later in the schedule, the majority of each payment covers the loan's principal.

Each payment is the same ($49,148), but the proportions of interest and capital pay changes. The interest proportion decreases from pay to pay.

Loan= 186000

i= 15%

n= 6 years

First pay:

i=186000*0,15=27900

amortization= 49148-27900=21248

Second pay:

i=(186000-21248)*0,15=24712

amort=49148-24712=24436

Third pay:

i=(164752-24436)*0,15=21048

amort=49148-21048=28100

While payments progress, interest decreases and amortization increases.

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2 years ago
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marusya05 [52]

Answer:

a. realize an economic profit in the long run.

Explanation:

A monopoly is a market structure which is typically characterized by a single-seller who sells a unique product in the market by dominance. Thus, it is a market structure wherein the seller has no competitor because he is solely responsible for the sale of unique products without close substitutes. Any individual that deals with the sales of unique products in a monopolistic market is generally referred to as a monopolist.

Hence, one of the ways in which some monopolistic competitors try to become more like monopolists is through the use of designer labels.

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Hence, a purely competitive market is characterized by the following features;

1. Perfect information.

2. No barriers, it is typically free.

3. Equilibrium price and quantity.

4. Many buyers and sellers.

5. Homogeneous products.

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