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3 years ago

7

You will require $620 in 5 years. If you earn 5% interest on your funds, how much will you need to invest today in order to reac

h your savings goal? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

1 answer:

brilliants [131]3 years ago

8 0

Answer:

Present value of money invested = 485.79 (Approx)

Explanation:

Given:

Future value = $620

Number of years = 5 years

Present value = ?

Rate of interest = 5% = 5/100 = 0.05

Computation of Present value of money invested:

Present value = $\frac{Future\ value}{(1+r)^n}\\\\$

$Present \ value = \frac{Future\ value}{(1+r)^n}\\\\Present \ value = \frac{620}{(1+0.5)^5}\\\\Present \ value = \frac{620}{(1.5)^5}\\\\Present \ value = \frac{620}{1.277628156}\\\\Present \ value =485.786224$

Present value of money invested = 485.786224

Present value of money invested = 485.79 (Approx)

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Select three situations when an agency can perform a warrantless search.

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C or d im npt sure about d if its a emergency you would at least have to have permission from the owner of the property

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3 years ago

Instructions: Please make sure that you show all your work when solving the problems. Feel free to make any assumptions whenever

My name is Ann [436]

Answer:

Explanation:

From the given information:

The current price = $\dfrac{Dividend(D_o) \times (1+ Growth \ rate) }{\text{Cost of capital -Growth rate}}$

$15 = \dfrac{0.50 \times (1+ Growth rate)}{8\%-Growth rate}$

$15 \times (8 -Growth \ rate) = 0.50 +(0.50 \times growth \ rate)$

$1.20 - (15 \times Growth \ rate) = 0.50 + (0.50 \times growth \ rate)$

$0.70 = (15 \times growth \ rate) \\ \\ Growth \ rate = \dfrac{0.70}{15.50} \\ \\ Growth \ rate = 0.04516 \\ \\ Growth \ rate \simeq 4.52\% \\ \\$

2. The value of the stock

Calculate the earnings at the end of 5 years:

$Earnings (E_o) \times Dividend \ payout \ ratio = Dividend (D_o) \\ \\ Earnings (E_o) \times 35\% = \$0.50 \\ \\ Earnings (E_o) =\dfrac{\$0.50}{35\%} \\ \\ = \$1.42857$

$Earnings (E_5) year \ 5 = Earnings (E_o) \times (1 + Growth \ rate)^{no \ of \ years} \\ \\ Earnings (E_5) year \ 5 = \$1.42857 \times (1 + 12\%)^5 \\ \\ Earnings (E_5) year \ 5 = \$2.51763$

Terminal value year 5 = $\dfrac{Earnings (E_5) \times (1+ Growth \ rate)}{Interest \ rate - Growth \ rate}$

$=\dfrac{\$2.51763\times (1+0.04516)}{8\%-0.04516}$

=$75.526

Discount all potential future cash flows as follows to determine the stock's value:

$\text{Value of stock today} =\bigg( \sum \limits ^{\text{no of years}}_{year =1} \dfrac{Dividend (D_o) \times 1 +Growth rate ) ^{\text{no of years}}}{(1+ interest rate )^{no\ of\ years} }$

$+ \dfrac{Terminal\ Value }{(1+interest \ rate )^{no \ of \ years}} \Bigg)$

$\implies \bigg(\dfrac{\$0.50\times (1 + 12\%)^1) }{(1+ 8\%)^{1} }+ \dfrac{\$0.50\times (1+12\%)^2 }{(1+8\% )^{2}}+ \dfrac{\$0.50\times (1+12\%)^3 }{(1+8\% )^{3}} + \dfrac{\$0.50\times (1+12\%)^4 }{(1+8\% )^{4}} + \dfrac{\$0.50\times (1+12\%)^5 }{(1+8\% )^{5}} + \dfrac{\$75.526}{(1+8\% )^{5}} \bigg )$

$\implies \bigg(\dfrac{\$0.5600}{1.0800}+\dfrac{\$0.62720}{1.16640}+\dfrac{\$0.70246}{1.2597}+\dfrac{\$0.78676}{1.3605}+\dfrac{\$0.88117}{1.4693}+ \dfrac{\$75.526}{1.4693} \bigg)$

=$ 54.1945

As a result, the analysts value the stock at $54.20, which is below their own estimates.

3. The value of the stock

Calculate the earnings at the end of 5 years:

$Earnings (E_o) \times Dividend payout ratio = Dividend (D_o) \\ \\ Earnings (E_o) \times 35\% = \$0.50 \\ \\ Earnings (E_o) =\dfrac{\$0.50}{35\%}\\ \\ = \$1.42857$

$Earnings (E_5) year \ 5 = Earnings (E_o) \times (1 + Growth \ rate)^{no \ of \ years} \\ \\ Earnings (E_5) year \ 5 = \$1.42857 \times (1 + 12\%)^5 \\ \\ Earnings (E_5) year \ 5 = \$2.51763 \\ \\$

Terminal value year 5 = $\dfrac{Earnings (E_5) \times (1+ Growth \ rate)\times dividend \ payout \ ratio}{Interest \ rate - Growth \ rate}$

$=\dfrac{\$2.51763\times (1+ 7 \%) \times 20\%}{8\%-7\%}$

=$53.8773

Discount all potential cash flows as follows to determine the stock's value:

$\text{Value of stock today} =\bigg( \sum \limits ^{\text{no of years}}_{year =1} \dfrac{Dividend (D_o) \times 1 + Growth rate ) ^{\text{no of years}}}{(1+ interest rate )^{no \ of\ years} }+ \dfrac{Terminal \ Value }{(1+interest \ rate )^{no \ of \ years }} \bigg)$

$\implies \bigg( \dfrac{\$0.50\times (1 + 12\%)^1) }{(1+ 8\%)^{1} }+ \dfrac{\$0.50\times (1+12\%)^2 }{(1+8\% )^{2}}+ \dfrac{\$0.50\times (1+12\%)^3 }{(1+8\% )^{3}} + \dfrac{\$0.50\times (1+12\%)^4 }{(1+8\% )^{4}} + \dfrac{\$0.50\times (1+12\%)^5 }{(1+8\% )^{5}} + \dfrac{\$53.8773}{(1+8\% )^{5}} \bigg)$

$\implies \bigg (\dfrac{\$0.5600}{1.0800}+\dfrac{\$0.62720}{1.16640}+\dfrac{\$0.70246}{1.2597}+\dfrac{\$0.78676}{1.3605}+\dfrac{\$0.88117}{1.4693}+ \dfrac{\$53.8773}{1.4693} \bigg)$

=$39.460

As a result, the price is $39.460, and the other strategy would raise the value of the shareholders. Not this one, since paying a 100% dividend would result in a price of $54.20, which is higher than the current price.

Notice that the third question depicts the situation after 5 years, but the final decision will be the same since we are discounting in current terms. If compounding is used, the future value over 5 years is just the same as the first choice, which is the better option.

The presumption in the second portion is that after 5 years, the steady growth rate would be the same as measured in the first part (1).

8 0

3 years ago

A company had sales of $500,000 in 1996 and sales of $720,000 in 1998. Use the midpoint formula to find the company's sales in 1

rjkz [21]

Answer:

$610,000

Explanation:

According to the midpoint value, we have to find out the mid value of two amount.

As in the question, the sales for 1996 and the sales for 1998 are given and we have to find out the sales for 1997

So, by using the mid point formula approach, the sales for 1997 is

= (1996 sales + 1998 sales) ÷ (Number of years)

= ($500,000 + $720,000) ÷ (2 years)

= ($1,220,000) ÷ (2 years)

= $610,000

Therefore, the estimated sales value of the company for year 1997 is $610,000

3 0

3 years ago

Ms. Langley is 30 years old and has begun a retirement plan that permits he r to place monthly amounts of $400 into a retirement

elena-14-01-66 [18.8K]

Answer:

Instructions are listed below

Explanation:

Giving the following information:

Ms. Langley is 30 years old and has begun a retirement plan that permits her to place monthly amounts of $400 into a retirement vehicle, beginning one month from now, for 30 consecutive years.

When Ms. Langley reaches her retirement at age 60, she expects to live for 25 more years. The interest rate is 6%.

First, we need to calculate the amount of money that she will have at age 60, using the following formula.

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit= 400

n= 30*12= 360

i= 0.06/12= 0.005

FV= {400[(1.005^360)-1]}/0.005= $401,806.02

Months= 25years*12= 300 months

Monthly= 401,806.02/300= $1,339.35

4 0

3 years ago

Mr. and Mrs. Smith were interested in purchasing a vacant lot. However, they first wanted the property surveyed. When the survey

Ber [7]

Answer:

Benchmark.

Explanation:

In this scenario, Mr. and Mrs. Smith were interested in purchasing a vacant lot. However, they first wanted the property surveyed. When the surveyor came out to measure the property he began measuring from the iron spike embedded in the middle of the street. In this case, the iron spike would be known as benchmark.

In real estate, benchmark can be defined as an indicator which is used by individuals or group of developers to measure and define properties such as a land. Iron spikes and wood stakes could be used as a benchmark for indicating ownership or measurement of a property.

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3 years ago