In the context of the aio dimensions for measuring consumers' lifestyles, "a" stands for _______

Find the future values of these ordinary annuities. Compounding occurs once a year. Do not round intermediate calculations. Roun

Dimas [21]

Answer:

a. Futuere Value = $19,245.86

b. Futuere Value = $3,060.86

c. Futuere Value = $0

d-1. Futuere Value = $21,170.44

d-2. Futuere Value = $3,213.90

d-3. Futuere Value = $0

Explanation:

Note: The data in the question are merged. They are therefore sorted before answering the question as follows:

Find the future values of these ordinary annuities. Compounding occurs once a year. Do not round intermediate calculations. Round your answers to the nearest cent.

a. $900 per year for 12 years at 10%. $ 19,245.85

b. $450 per year for 6 years at 5%. $ 3,060.86

c. $200 per year for 6 years at 0%. $

d. Rework parts a, b, and c assuming they are annuities due.

Future value of $900 per year for 12 years at 10%: $ 21,170.43

Future value of $450 per year for 6 years at 5%: $ 3,213.90

Future value of $200 per year for 6 years at 0%: $

Explanation of the answer is now provided as follows:

The formula for calculating the Future Value (FV) of an Ordinary Annuity given as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where,

FV = Future value of the amount =?

M = Annuity payment

r = Annual interest rate

n = number of periods years

This formula is now applied as follows:

a. $900 per year for 12 years at 10%. $ 19,245.85

Therefore, we have:

FV = ?

M = $900

r = 10%, or 0.10

n = 12

Substituting the values into equation (1), we have:

FV = $900 * (((1 + 0.10)^12 - 1) / 0.10)

FV = $900 * 21.38428376721

FV = $19,245.855390489

Rounding the nearest cent, we have:

FV = 19,245.86

b. $450 per year for 6 years at 5%. $ 3,060.86

Therefore, we have:

FV = ?

M = $450

r = 5%, or 0.05

n = 6

Substituting the values into equation (1), we have:

FV = $450 * (((1 + 0.05)^6 - 1) / 0.05)

FV = $450 * 6.8019128125

FV = $3,060.860765625

Rounding the nearest cent, we have:

FV = $3,060.86

c. $200 per year for 6 years at 0%. $

Therefore, we have:

FV = ?

M = $200

r = 0%, or 0

n = 6

Substituting the values into equation (1), we have:

FV = $200 * (((1 + 0)^6 - 1) / 0)

FV = $200 * ((1^6 - 1) / 0)

FV = $200 * ((1 - 1) / 0)

FV = $200 * (0 / 0)

FV = $200 * 0

FV = $0

d. Rework parts a, b, and c assuming they are annuities due.

The formula for calculating the Future Value (FV) of an Annuity Due is given as follows:

FV = M * (((1 + r)^n - 1) / r) * (1 + r) ................................. (2)

Where,

FV = Future value

M = Annuity payment

r = Annual interest rate

n = number of periods years

This formula is now applied as follows:

d-1. Future value of $900 per year for 12 years at 10%: $ 21,170.43

Therefore, we have:

FV = ?

M = $900

r = 10%, or 0.10

n = 12

Substituting the values into equation (2), we have:

FV = $900 * (((1 + 0.10)^12 - 1) / 0.10) * (1 + 0.10)

FV = $900 * 21.38428376721 * 1.10

FV = $2,1170.4409295379

Rounding the nearest cent, we have:

FV = $2,1170.44

d-2. Future value of $450 per year for 6 years at 5%: $ 3,213.90

Therefore, we have:

FV = ?

M = $450

r = 5%, or 0.05

n = 6

Substituting the values into equation (2), we have:

FV = $450 * (((1 + 0.05)^6 - 1) / 0.05) * (1 + 0.05)

FV = $450 * 6.8019128125 * 1.05

FV = $3,213.90380390625

Rounding the nearest cent, we have:

FV = $3,213.90

d-3. Future value of $200 per year for 6 years at 0%: $

Therefore, we have:

FV = ?

M = $200

r = 0%, or 0

n = 6

Substituting the values into equation (2), we have:

FV = $200 * (((1 + 0)^6 - 1) / 0) * (1 + 0)

FV = $200 * ((1^6 - 1) / 0) * 1

FV = $200 * ((1 - 1) / 0) * 1

FV = $200 * (0 / 0) * 1

FV = $200 * 0 * 1

FV = $0

8 0

2 years ago

everything else held constant, the interest rate on municipal bonds rises relative to the interest rate on treasury securities w

posledela

Interest rates would increase since the tax-exempt status of municipal bonds would lose some of its appeal and there would be less of a market for them as a result of the lower income tax rates.

When the income tax rate is reduced for municipal bonds, the value of the bonds will also decline because the tax-exempt status for the bonds will also be reduced as a result of the lower income tax rate. Additionally, it lessens the demand for municipal bonds.

To know more about the municipal bond visit here :

brainly.com/question/23962246

#SPJ4

6 0

11 months ago

A student has a savings account earning 9% simple interest. She must pay $1400 for first-semester tuition by September 1 and $14

IRINA_888 [86]

Answer: The answer is $2,759.22

Explanation: From the question above, we have:

September 1st to January 1st is 4 months, this is 1/3 of a year which means that the student will earn:

=> 9/3 = 3%

3% interest for the money that is saved is the savings account. So the student must put in at least:

x + 3%x = 1400

x + 0.03x = 1400

1.03x = 1400

x = 1400 / 1.03

x = 1,359.22

Therefore, if the student saves $1,359.22 in the savings account By September 1st, she will have $1400 by January 1st.

Also, the student needs to make $1400 for the first semester. So overall she will need to make:

1,400 + 1,359.22 = $2,759.22 during the summer in order to ensure that she will have enough money to pay for both semesters.

7 0

3 years ago

The BCG has given specific names and descriptions to the four resulting quadrants in its growth-share matrix based on the amount

S_A_V [24]

Answer:

low market growth, high relative market share

Explanation:

In 1970, Bruce D. Henderson created a certain growth-share matrix for the Boston Consulting group in which the cash cow was stated to be a company that operates in a slow-growing industry but with large market share.

Companies are known to love cash cows, reason being that they require minimal amount of money to maintain while the business on its own gives back much more money than one puts into it

3 0

3 years ago

St. Mark's Square is a beautiful plaza in Venice that is often frequented by both tourists and pigeons. Ringing the piazza are

Artist 52 [7]

Answer and explanation:

Location is one of the many factors businesses must consider at the moment of starting operations. Commercial areas tend to have higher rent and property prices. Typically, businessmen deal with it by increasing their products price so they can cover expenditures and make a profit. At the same time, most consumers are willing to pay the higher price for the product because it removes the need for relocation even if it could imply moving one or two blocks away.

5 0

2 years ago

In the context of the aio dimensions for measuring consumers' lifestyles, "a" stands for ________.