Determine the amount of money that must be invested now​ (time 0) at 10​% nominal​ interest, compounded​ monthly, to provide an annuity of ​$7 comma 000 per year for 12 ​years, starting eight years from now. The interest rate remains constant over this entire period of time.

Answers

Answer 1
Answer:

Answer:

the amount of money that must be invested now is $21068.87

Explanation:

Given that:

Nominal interest = 10%

Annuity = 7000

n = 8 years

The Effective interest rate is calculated by using the formula:

Effective interest rate = ( 1 + (r)/(100 * n))^n-1

Effective interest rate = ( 1 + (10)/(100 * 8))^8-1

Effective interest rate = 0.1045

Effective interest rate = 10.45 %

Thus ; the the amount of money that must be invested now​  is the present value with the annuity of ​$7, 000 per year for 12 ​years, starting eight years from now.

PV = 7000(((1+ 0.1045)^(12)-1)/(0.1045(1 + 0.1045)^(12)))( (1)/((1+ 0.1045)^8))

PV = 7000 × 6.666056912 × 0.4515171371

PV = $21068.87

Thus; the amount of money that must be invested now is $21068.87

Answer 2
Answer:

Final answer:

To determine the required investment, the present value of the annuity starting 8 years from now should be calculated first and then its present value is computed today. This involves understanding the principles of simple and compound interest and applying their formulas accordingly.

Explanation:

In order to determine the amount of money that must be invested now at 10% nominal interest, compounded monthly, to provide an annuity of $7,000 per year for 12 years starting eight years from now, first, we have to calculate the present value of the annuity 8 years from now. We achieve this by using the formula for the present value of an annuity.

Later, we calculate the present value of that amount today. Then we employ the formula of present value in a situation where the compound interest is involved. Compound interest is an interest rate calculation on the amount deposited plus the accumulated interest so far.

This can be generally calculated by determining the difference between the future value and the present value of the amount deposited. In essence, the two major factors in this calculation are the understanding of the simple interest and compound interest, and using the formulae properly.

Learn more about Compound Interest here:

brainly.com/question/14295570

#SPJ12


Related Questions

On January 1, Year 1, Chaco Company sold $300,000 of 10% twenty-year bonds. Interest is payable semiannually on June 30 and December 31. The bonds were issued for $359,378, priced to yield 8%. What is the amount of effective interest expense that Chaco will record for the six months ended June 30, Year 1
Presented below are a number of operational guidelines and practices that have developed over time. Select the assumption, principle, or constraint that most appropriately justifies these procedures and practices. (Do not use qualitative characteristics.) (a) Fair value changes are not recognized in the accounting records. (b) Financial information is presented so that investors will not be misled. (c) Intangible assets are amortized over periods benefited. (d) Agricultural companies use fair value for purposes of valuing crops. (e) Each enterprise is kept as a unit distinct from its owner or owners. (f) All significant post-balance-sheet events are disclosed
Which of the following ratios indicate strong capacity for a company? Select ALL correct answers.Low profit margin ratioLow asset turnover ratioLow operating margin ratioLow debt to equity ratioHigh debt service coverage ratio
) Candy Man, Inc. reports the following information: Beginning Finished Goods Inventory 60 units Units produced 550 units Units sold 610 units Sales price $130 per unit Direct materials $17 per unit Direct labor $10 per unit Variable manufacturing overhead $17 per unit Fixed manufacturing overhead $14,000 per year Variable selling and administrative costs $6 per unit Fixed selling and administrative costs $12,500 per year What is the unit product cost using variable costing
A company pays each of its two office employees each Friday at the rate of $100 per day for a five-day week that begins on Monday. If the monthly accounting period ends on Tuesday and the employees worked on both Monday and Tuesday, the month-end adjusting entry to record the salaries earned but unpaid is: Multiple Choice Debit Unpaid Salaries $600 and credit Salaries Payable $600. Debit Salaries Expense $600 and credit Salaries Payable $600. Debit Salaries Expense $400 and credit Cash $400. Debit Salaries Payable $400 and credit Salaries Expense $400. Debit Salaries Expense $400 and credit Salaries Payable $400.

Type the correct answer in the box. Spell all words correctly.Which process does a court use to select a jury?
The court selects a jury from a jury pool through a process known as _____.

Answers

voir dire
Lawyers and judges select juries by a process known as “voir dire,” which is Latin for “to speak the truth.” In voir dire, the judge and attorneys for both sides ask potential jurors questions to determine if they are competent and suitable to serve in the case.

The skill you’re focusing on this week is:

Answers

could you explain some more please

Suppose you bought 200 shares of stock at an initial price of $52 per share. The stock paid a dividend of $0.44 per share during the following year, and the share price at the end of the year was $36. What is the percentage capital gains yield

Answers

Answer:

We can find the capital gains yield from the following formula:

Capital Gains Yield =  Increase or decrease in the share price divided by Original cost of the shares when purchased

By putting values

Capital Gains Yield = ($52 - $36)/$52 = -30.7%

Explanation:

We can see that there is a decrease in the share price and this is also evident form the capital gains yield formula.

Companies prepare direct labor budgets to ________. avoid labor shortages determine the direct labor-hours per unit ensure timely supply of raw materials reduce inventories

Answers

Answer:

direct labor-hours per unit

Explanation:

A labor budget is prepared to determine the business` need for planned labor in the budget period.

It can be prepaid to show :

  1. the number of labor hours required
  2. the number of workers required
  3. cost of hiring the required number of workers

All of this also applies for a unit production.

As the Managing Director of SXSW, Roland Swenson sells advertising to other businesses in an effort to promote SXSW’s music festival and the other companies’ products. This exchange of promotional activity is referred to as business-to-business.a. sales promotion. b. prospecting. c. relationship building. d. sampling. e. public relations.

Answers

Answer:

The correct answer is letter "A": sales promotion.

Explanation:

Sales promotion is the marketing technique in which the benefits or special features of a product or service are provided to potential customers directly. In some cases, the sales promotion also is provided to the distribution channel so later the distribution channel reuses the information obtained to promote the same goods or services to the final customers.

The delivered equipment cost for setting up a production and assembly line for two-way floating ball valves is $650,000. If the direct cost and indirect cost factors are 1.82 and 0.31, respectively, and only the direct cost factor applies to delivered equipment cost, the total plant cost estimate is approximately:a. $ 2,034,500b. $ 2,401,230c. $ 2,684,500d. $ 2,983,000

Answers

Answer:

$2,034,500 ; A

Explanation:

In this question, we are asked to calculate cost estimate.

One of the methods which we can use to do this is the cost factor technique.

Mathematically, the estimated total cost will be;

Ct = hCe

Where Ce refers to cost at major equipment and h is the overall cost factor.

From the question, we can identify the following;

Ce is $650,000 while h = 1.82 + 1 + 0.31 = 3.13

Inputing these values in the formula, we have;

Ct = $650,000 * 3.13 = $2,034,500

Answer:

a) 2, 034,500

Explanation:

the explanation is given in the file attached