All categories

3 years ago

The fair rate is 8%. What is 100 per year, forever, worth now?

Business

2 answers:

iVinArrow [24]3 years ago

7 0

Answer: Please refer to the explanation section

Explanation:

Investment = 100

Interest rate = r = 8%

1. Value of a Perpetual (forever) investment

Present Value = Investment/r = 100/0.08 = 1250

Present Value = $ 1250

2. Present Value with a period of 15 years

Present Value = Investment/(1+r)^n

Present Value = 100/(1+0.08)^15 = 31.524170497

Present Value = $ 31.52

3. Present Value of a Perpetual (forever) investment with Growth rate of 5%

Present Value = Investment/r = 100/0.08 – 0.05 = 3333.333333

Present Value = $ 3333.33

4. Future Value if we get 100 at the end of the year

Future Value = investment(1+r) = 100(1+0.08) = 108

Future Value = $ 108

5. Future Value if we get 100 at the end of 10 years

Future Value = investment(1+r) = 100(1+0.08)^10 = 251.524170497

Future Value = $ 251.52

6. Future Value if 100 is reinvested every year for 10 years

Future Value = Payment x [(1+r)^n – 1)/ r]

Future Value = 100 x [(1+0.08)^10 – 1)/ 0.08)

Future Value = 1448.6562466 = $ 1448.66

777dan777 [17]3 years ago

5 0

Answer:

1. $1,250

2. $855.95

3. $3,333.33

4. $92.59

5. $46.32

6. $671.01

Explanation:

$100 per year forever

Constant Cash flow every year forever is actually a perpetuity its present value is

PV of Perpetuity = Cash flow / rate of return

PV of $100 Perpetuity = $100 / 0.08 = $1,250

$100 per year for 15 years

Constant Cash flow every year for specific time period is actually a Annuity its present value is

PV of annuity = P + P [ ( 1 - ( 1 + r )^-n ) / r ] = $100 + $100 [ ( 1 - ( 1 + 0.08 )^-15 ) / 0.08 ] = $855.95

$100 per year grow at 5% forever

It is a growing perpetuity and its present value will be calculated as follow

Present value of growing perpetuity = Cash flow / Rate of return - growth rate

Present value of growing perpetuity = $100 / 0.08 - 0.05 = $3,333.33

$100 once at the end of this year

Present value = P ( 1 + r)^-n = $100 ( 1 + 0.08 )^-1 = $92.59

$100 once after 10 years

Present value = P ( 1 + r)^-n = $100 ( 1 + 0.08 )^-10 = $46.32

$100 each year for 10 years @ 8%

PV of annuity = P + P [ ( 1 - ( 1 + r )^-n ) / r ] = $100 + $100 [ ( 1 - ( 1 + 0.08 )^-10 ) / 0.08 ] = $671.01

You might be interested in

Do you think that setting business objectives for S and S blooms will make sure that the business is successful?Justify your ans

notsponge [240]

Improved Leadership will make sure that the business is successful.

Companies set goals and goals that help them make decisions. This allows the company to determine the main focus. Intentions and goals also indicate the direction the company wants to take, as well as key stakeholders such as investors and employees. This makes them more likely to support new projects.

Improved Leadership

With clear goals, organizational leaders can plan and direct new sales teams to see what they are working on. This kind of clarity also helps improve communication within the team, as everyone is on the same page.

“One thing that successful companies have in common is a strong interest in their customers,” said John Stephenson, marketing specialist at My GREExam Preparation. “They are creating a culture that focuses on customers and aligns processes, products, and services to the needs of their services.

Learn more about business objectives at

brainly.com/question/25754149

#SPJ1

8 0

2 years ago

Taxpayer L has income of $55,000 from Norway, which imposes a 40 percent income tax, and income of $45,000 from France, which im

saveliy_v [14]

Answer:

The amount of the foreign tax credit is $52,500

Explanation:

Given:

Income from Norway = $55,000

Income tax in Norway = 40%

Income from France = $45,000

Income tax in France = 30%

Taxable income from U.S. sources = $200,000

U.S. tax liability = $105,000

Tax paid in Norway = $55,000 × 40% = $22,000

Tax paid in France = $45,000 × 30% = $13,500

Foreign tax credit = (Net foreign income ÷ U.S. taxable income) × U.S. tax liability

= ($100,000 ÷ $200,000) × $105,000

= $52,500

3 0

3 years ago

A price ceiling set below the equilibrium price in a perfectly competitive market A. always reduces producer surplus and increas

anygoal [31]

Answer:

Explanation:

Price ceiling is when the government or an agency of the government sets the maximum price for a product. It is binding when it is set below equilibrium price.

Consumer surplus is the difference between the willingness to pay of a consumer and the price of the good.

Consumer surplus = willingness to pay – price of the good

Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product

Producer surplus = price – least price the seller is willing to accept

Because price is below equilibrium price, consumer surplus would increase and producer surplus would reduce

7 0

2 years ago

A liquidity ratio measures the Group of answer choices income or operating success of an enterprise over a period of time. abili

mr Goodwill [35]

Answer:

short-term ability of the enterprise to pay its maturing obligations and to meet unexpected needs for cash

Explanation:

A liquidity ratio can be regarded as type of financial ratio which is been utilized in determination of a ability of a company to pay out its short-term debt obligations. The metric is way to determine if there is a possibility for company to use its current as well as liquid and assets to cover up for its current liabilities.

It should be noted that A liquidity ratio measures short-term ability of the enterprise to pay its maturing obligations and to meet unexpected needs for cash.

6 0

3 years ago

g Which of the following are included when establishing advertising objectives? A. Tonality and advertising appeal B. Message a

Nataly_w [17]

Answer:

Advertising appeal and unique selling proposition.

Explanation:

Advertising is a promotional activity which purpose is to sell a product or service to a target audience.

The unique selling proposition of a product is intended to appeal to a specific. group of audience. For example, the social, psychological, physical and financial backgrounds of customers play a major role. When these various characteristics of the target group are known, it will be easy to determine how a product’s features would be a solution to the problems faced by the target audience.

Advertising appeals are the different techniques that are applied to get the attention of customers to patronize a particular product or service.

3 0

3 years ago