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Vesnalui [34]
3 years ago
12

A deposit of $1000 at 4% interest compounded continuously will grow to v(t) = 1000 e^0.04 dollars after t year. Find the average

value during the first 40 years (that is, from time 0 to time 40.)
Business
1 answer:
elixir [45]3 years ago
6 0

Answer: 20,816.215

Explanation:

Given that:

A deposit of $1000 at 4% interest compounding is defined by the growth function:

v(t) = 1000e^0.04t

Where t = number of years.

Find the average value during the first 40 years (that is, from time 0 to time 40.)

(That is t = 0,...,40)

For ease, we can use a python list comprehension to get our values.

v = [1000*2.7182818**0.04*t for t in range(41)]

V gives a list of the value of the deposit from year 0 till 40 years after the deposit.

Average = sum of compounding deposits / number of years

Sum of compounding deposits = sum(v) = $853464.8344

Number of years = len(v) = 41

Hence, average = $853464.8344 / 41

Average = $20,816.215

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How much time will be needed for 35,000 to grow to 44,622.09 if deposited at 7% compounded quarterly
Vlad [161]

Answer:

It will take 14 quarters (3.5 years) to reach $44,622.09 from $35,000 at an interest rate of 7% compounded quarterly.

Explanation:

Giving the following information:

PV= 35,000

FV= 44,622.09

i= 0.07/4= 0.0175

We need to calculate the number of quarters required to reach the objective. We will use the following formula:

n= ln(FV/PV) / ln(1+i)

n= ln(44,622.09/35,000) / ln(1.0175)

n= 14

It will take 14 quarters (3.5 years) to reach $44,622.09 from $35,000 at an interest rate of 7% compounded quarterly.

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For an airline, which of the following would not be an operational budget? A cash receipts budget of flying consumers. A budget
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Answer:

A cash receipts budget of flying consumers.

Explanation:

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Usually an operational budget is set before activities begin, and is a target to be achieved.

For an airline cash receipts of flying customers is not a revenue realised as a result of planning operations, so this is the correct answer.

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4 0
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The Sealing Company has 1,500 bonds outstanding that are selling for $1,060 each. The company also has 5,000 shares of preferred
iris [78.8K]

The weight of the common stock as it relates to the firm's weighted average cost of capital is <u>35%</u>.

<h3>What is the weighted average cost of capital?</h3>

The weighted average cost of capital computes a firm's cost of capital based on the firm's average cost of capital from all sources: common stock, preferred stock, bonds, and other forms of debt.

The weight of the common stock can be determined by dividing the common stock market value by the total capitalization from all sources.

<h3>Data and Calculations:</h3>

Outstanding:

Bonds payable = $1,590,000 (1,500 x $1,060)

Preferred stock = $160,000 (5,000 x $32)

Common stock = $936,000 (36,000 x $26)

Total debts and equity = $2,686,000

Weight of common stock = 35% ($936,000/$2,686,000 x 100)

Thus, the weight of the common stock as it relates to the firm's weighted average cost of capital is <u>35%</u>.

Learn more about the weighted average cost of capital at brainly.com/question/14703616

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Is sears going out of business
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