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andre [41]
3 years ago
6

Your cousin is currently 10 years old. She will be going to college in 8 years. Your aunt and uncle would like to have $ 105 com

ma 000 in a savings account to fund her education at that time. If the account promises to pay a fixed interest rate of 4.1 % per​ year, how much money do they need to put into the account today to ensure that they will have $ 105 comma 000 in 8 ​years?
Business
1 answer:
telo118 [61]3 years ago
6 0

Answer:

$76,134.84

Explanation:

Data provided in the given question

Future value = $105,000

Fixed interest rate = 4.1%

Number of years = 8

The calculation of present value is given below:-

= Future value ÷ (1 + rate of return)^number of years

= $105,000 ÷ (1 + 4.1%)^8

= $105,000 ÷ 1.379132002

= $76,134.84

Therefore, we simply applied the present value formula.

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ohnstone Company is facing several decisions regarding investing and financing activities. Address each decision independently.
Vesnalui [34]

Answer:

Johnstone should value the equipment at <u>$40,326.29</u>.

Explanation:

To determine this, the present value of the five annual installments of $8,000 is first calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value of the five annual installments =?

P = Annual payment = $8,000

r = interest rate = 10%, or 0.10

n = number of years = 5

Substitute the values into equation (1) to have:

PV = $8,000 * ((1 - (1 / (1 + 0.10))^5) / 0.10)

PV = $8,000 * 3.79078676940845

PV = $30,326.29

Therefore, the present value of the five annual installments of $8,000 is approximately $30,326.29.

As result of this:

Value the equipment = Payment on the purchase day + present value of the five annual installments = $10,000 + $30,326.29 = $40,326.29

Therefore, Johnstone should value the equipment at <u>$40,326.29</u>.

7 0
3 years ago
Consider a project with free cash flows in one year of $90,000 in a weak economy or $117,000 in a strong economy, with each outc
lozanna [386]

Answer:

B) $90,000

Explanation:

The market value of the unlevered equity can be calculated using the following formula:

Expected value = Σpx

Where:

p = the probability of each outcome =50% in this case for both weak and strong economy.

x = the present value of cash flow for each outcome which is $90,000 in case of weak economy and $117,000 in case of strong economy.

Expected value= 0.50(90,000(1+15%)^-1)+0.50(117,000(1+15%)^-1)

                         =0.50(78,260.87)+0.50(101,739.13)

                         =$90,000

So the answer is B) $90,000

5 0
3 years ago
If the rate of inflation is 2.2% per year, the future price pt (in dollars) of a certain item can be modeled by the following ex
postnew [5]

Answer:

1693.25

Explanation:

The computation of the current price of the item and the price 9 years from today is shown below:-

p(t) = 1,200 × (1.039)^t

Now, the current price can be found by putting t = 0

p(0) is

1,200\times (1.039)^0 = $1,200

The price 10 years from today

p(9) is

1,200\times (1.039)^9

Now we will solve the above equation

= 1,200 × 1.411041958

= 1693.25035

or

= 1693.25

6 0
3 years ago
A company is targeting consumers who have not purchased its products for several months. It is segmenting the consumer market ba
Nina [5.8K]

Answer:

Usage Rate.

Explanation:

A company is targeting consumers who have not purchased its products for several months. It is segmenting the consumer market based on usage rate. It is one of the type of behavioral segmentation where markets are segmented on the basis of consumers knowledge, response towards product, usage rate and attitude. Marketers divide the markets into nonusers, ex-users, potential users, first time users and regular users in order to target them accordingly.

3 0
3 years ago
McBride’s Dairy has 200 gallons of cream and 600 gallons of skimmed milk and has incurred $1,000 of joint costs at the split-off
PtichkaEL [24]
Uhh I think C idk really
8 0
3 years ago
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