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
Ad libitum [116K]
3 years ago
10

A personal account earmarked as a retirement supplement contains $338,000. Suppose $300,000 is used to establish an annuity that

earns 6%, compounded quarterly, and pays $6000 at the end of each quarter. How long will it be until the value of the annuity is $0
Business
1 answer:
elena55 [62]3 years ago
5 0

Answer:

23.275 years

Explanation:

Given:

Present value or the amount invested = $ 300,000

Rate = 6% compounded quarterly

i.e the rate of return quarterly will be = 6% / 4 = 1.5%

Quarterly payment = $ 6,000

Annuity = $ 0

Now,

Present value of annuity = Part payment × (\frac{1-\frac{1}{(1+r)^n}}{r})

where,

n is the number of quarters

on substituting the values in the formula, we get

$ 300,000 = $ 6000 ×  (\frac{1-\frac{1}{(1+(0.015))^n}}{0.015})

or

50 × 0.015 =  ({1-\frac{1}{(1.015))^n})

or

{\frac{1}{(1.015))^n} = 1 - 0.75

or

4 = (1.015)^n}

taking log both the sides

we get

log 4 = n × log 1.015

or

0.602 = n × 0.0064

or

n = 93.101 quarters

or

n = 93.101 / 4 = 23.275 years

You might be interested in
Situational crime prevention has many elements but one key element states that items which are disposable and can be easily sold
Usimov [2.4K]
Situational crime prevention includes crime <span>prevention strategies that are aimed at reducing the criminal opportunities. </span>
It is true that according the situational crime prevention items which are disposable and can be easily sold by thieves are most likely to be taken. 
5 0
3 years ago
Help please
Monica [59]
It reduced the cash flow to product innovation. It led to increased operating costs.
3 0
2 years ago
To make students more competitive in the work force and for graduate school, college professors are beginning to lower the stand
Pavlova-9 [17]

Answer:

The correct answer is Grade inflation.

Explanation:

The inflation of grades is the term used to designate the distortion in the distribution of grading frequencies that the teacher or his group assigns to his students. It is characterized by an overabundance of high ratings. This situation may end up causing an unwanted effect, because students are shown as successful in the face of future jobs but in reality they do not demonstrate that training that details their qualifications.

5 0
3 years ago
What's the taxable equivalent yield on a municipal bond with a yield to maturity of 3.9 percent for an investor in the 35 percen
Nookie1986 [14]

When a person has a marginal tax bracket of 35%, their taxable equivalent yield to a municipal bond is 6%.

<h3>What is the taxable equivalent yield?</h3>

It can be found by the formula:

= Municipal bond / ( 1 + tax rate)

Solving gives:

= 3.9% / ( 1 - 35%)

= 3.9% / 0.65

= 6%

In conclusion, a 6% return would be an appropriate taxable equivalent yield.

Find out more on municipal bonds at brainly.com/question/25656290.

3 0
2 years ago
spectrum corp desires a 25% target gross profit after covering all product costs: considering the total product costs assigned t
HACTEHA [7]

Answer:

Note: "<em>The full question is attached as picture below"</em>

<em />

Required selling price for product = Total product cost / Product cost as a percentage of selling price

Note: <em>When the gross profit rate is 25%, this means that Product cost as a percentage of selling price is 75%</em>

Total cost assigned for product C = $1,396

Total cost assigned for product D = $3,158

<em>What would Oak have to charge the customer to achieve that gross profit?</em>

Charge to the customer for Product C:

= $1,396 / 0.75

= $1861.333333333333

= $1,861.33

Charge to the customer for Product D:

= $3,158 / 0.75

= $4210.666666666667

= $4,210.67

6 0
3 years ago
Other questions:
  • Background information: Car purchase cost: $25,000 Sum of Fuel and Maintenance Cost at End of Year 1: $2,000 Incremental increas
    14·1 answer
  • What is a series of future receipts or payments discounted to their value now assuming compound interest called?
    13·1 answer
  • Which is an example of a withholding you might see on your pay stub?
    10·1 answer
  • Suppose that GDP is $50 million in 2015 but falls to $48 million in 2016, and that no changes in personal consumption expenditur
    14·1 answer
  • could this type of situation ever occur in the United States and imposter taking over the leadership of the country ​
    11·1 answer
  • The centralized computer technology department of Hardy Company has expenses of $320,000. The department has provided a total of
    15·1 answer
  • According to the specifications that a customer gave to a manufacturer, the length of a shoe should not deviate from the correct
    6·1 answer
  • Which of the following comes closest to the value at the end of year 6 of investing $600 today (year 0) and then investing anoth
    7·1 answer
  • Zeitler's Department Stores sells its products online and through traditional brick-and-mortar stores. The following parallel co
    8·1 answer
  • When the government changes either its spending or tax policy to pursue economic objectives, it has changed its:___.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!