1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna71 [15]
3 years ago
10

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

d your answers to the nearest cent. $900 per year for 12 years at 10%. $ 19,245.85 $450 per year for 6 years at 5%. $ 3,060.86 $200 per year for 6 years at 0%. $ 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%: $
Business
1 answer:
Dimas [21]3 years ago
8 0

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

You might be interested in
Labor-augmenting (improving) technology causes which of the following? (i) The marginal productivity of labor increases. (ii) Th
OleMash [197]

Answer:

Answer to this is both option (i) and option (iii).

Explanation:

Change in technology generally affects the change in productivity as well as the change in labor demand. In the case of Labor-augmenting (improving) technology, it is found that the positive change in technology leads to the increasing marginal productivity of labor. This increase of marginal productivity of labor shifts the labor-demand curve towards right. Thus, Labor-augmenting (improving) technology causes marginal productivity of labor to increase which further leads to shifting of the labor-demand curve towards right.

5 0
3 years ago
Seth is mentally incompetent but has not been adjudged by a court to be incompetent. Seth enters into a contract with Toby for t
Kaylis [27]

Answer:

Void

Explanation:

Void is the term of law, which is defined as the contract is not valid currently, and the parties of the contract are not held to its terms. The void contract is the one which is generally unenforceable.

The contract could be void because of many reasons like the contract need one party to perform that act which is impossible or in that case, where one party is not mentally incompetent.

So, in this case, the contract is most likely to be void as the contract with the party who is mentally incompetent, though the party has not been adjudged through court.

6 0
3 years ago
Suppose buyers of computers and printers regard the two goods as complements. Then an increase in the price of computers will ca
Marysya12 [62]

Answer:

The answer is: A) Decrease in the demand for printers and a decrease in the quantity supplied of printers.

Explanation:

Since computers and printers are complimentary products, the increase in the price of computers will decrease the quantity demanded of computers and printers. Since the quantity demanded for printers will decrease, the quantity supplied should also decrease.

5 0
3 years ago
The capital structures of MNCs are influenced by​ ________. A. dividends paid by corporations B. domestic futures markets C. the
Galina-37 [17]

Answer:

D. international diversification

Explanation:

The Multinational corporations can reduce their risk by international diversification and reduced risk can increase debt capacity of MNC. The higher capacity to meet scheduled debt payment also reduces cost of capital.

The effect of international diversification on capital structure can be explained through

1. Co-insurance effect: Combining businesses with international firms provides reduction in operating risk and thereby increase debt capacity. This helps MNCs to include more debts in their capital structure.

2. Transaction cost theory. Internationalization is a way of   internatilize   intangible assets. Since intangible assets are not difficult to sale , international diversification helps MNCs to exploit their intangible assets. So MNCs with an eye of international diversification will try to   develop these type of assets in their asset base.

3.Agency cost argument: MNCs will have high agency costs Diversification helps to reduce these agency costs International diversification creates larger markets and generates growth opportunities. Growth opportunities and debt ratios are inversely proportional .MNCs with higher growth opportunities will rely on equity rather than debt.

3 0
3 years ago
Delta Diamonds uses a periodic inventory system. The company had five one-carat diamonds available for sale this year: one was p
Eddi Din [679]

Answer: $2650

Explanation:

Using the specific identification method, its ending inventory (after the December 24 sale) will be:

Units for sale = 5 units

Units sold = 1

It should be noted that the unit that was sold was the one that was bought on July 9th.

Ending units will now be:

= $800 + ($2 × $900) + $950 - $900

= $800 + $1800 + $950 - $900

= $3550 - $900

= $2650

6 0
3 years ago
Other questions:
  • Ryan's dad needs to drive bigger company vehicles in order to get promoted. What does he need?
    6·1 answer
  • The board of directors of Capstone Inc. declared a $0.60 per share cash dividend on its $1 par common stock. On the date of decl
    10·1 answer
  • A bond with a face value of $6,000 and an annual coupon rate of 12% convertible semiannually will mature in ten years for its fa
    6·1 answer
  • At the Wedge Natural Co-op in Minneapolis, employees talked about how the long-time general manager had fired almost the entire
    8·1 answer
  • Joel was recently hired as a police officer in his city's police department. As part of employee training, his supervisor trains
    11·1 answer
  • In 2009, the federal government created a program called cash for clunkers whereby consumers could trade in a less efficient car
    10·1 answer
  • What is indigenous bookkeeping
    15·1 answer
  • Explain five reasons some areas have high population density and give example of those areas​
    5·1 answer
  • Ned Douglas owns Ned’s Blankets. Ned asks you to explain how he should treat the following reconciling items when reconciling th
    6·1 answer
  • Price level stability necessitates intelligent management or regulation of which of?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!