If the future value of an ordinary, 7-year annuity is $10.000 and interest rates are 4 percent, what is the future value of the same annuity due?

Answer:

The future value of the same annuity due is $10,400.

Explanation:

Step 1: Calculation of the annuity payment

This can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

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

Where,

FV = Future value of the amount after 7 years = $10.000

P = Annuity payment = ?

r = interest rate = 4%, or 0.04

n = number of years = 7

Substituting the values into equation (1) and solve for P, we have:

10,000 = P * (((1 + 0.04)^7 - 1) / 0.04)

10,000 = P * 7.89829448089601

P = 10,000 / 7.89829448089601

P = $1,266.09612039504

Step 2: Calculation of the future value of the same annuity due

This can be calculated using the formula for calculating the Future Value (FV) of an Annuity Due as follows:

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

Where,

FV = Future value the same annuity due = ?

P = Annuity payment as obtained in Step 1 above = $1,266.09612039504

r = interest rate = 4%, or 0.04

n = number of years = 7

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

FV = $1,266.09612039504 * (((1 + 0.04)^7 - 1) / 0.04) * (1 + 0.04)

FV = $1,266.09612039504 * 7.89829448089601 * 1.04

FV = $10,400

Therefore, the future value of the same annuity due is $10,400.

Great Pumpkin Inc., wants to purchase a vending machine for their common room and chooses dimensions of cost, reliability, and flexibility as critical. They evaluate three different vending machine companies and rate their performance on each criterion on a scale from 1 (poor) to 5 (excellent). Which company should Great Pumpkin choose

does anyone know a free app that i can watch shows on? what show u may ask it called the 100​

A company reported average total assets of $1,240,000 in Year 1 and $1,510,000 in Year 2. Its net operating cash flow was $102,920 in Year 1 and $138,920 in Year 2. (1) Calculate its cash flow on total assets ratio for both years. (2) Did its cash flow on total assets improve in Year 2 versus Year 1

A SWOT analysis provides organizational strategists with key information and a realistic assessment and understanding of both the internal and external environments. This activity is important because a SWOT analysis is a useful tool in gathering information about the competitive environment to establish a grand strategy.

The goal of this exercise is to challenge your knowledge of SWOT analysis.
Wrtie down the most appropriate area of the SWOT analysis for each item.


1. The R&D program at the company produces world-class products
2. Our product is targeted to young professionals under 35 years of age. That group is growing.
3. The equipment the company owns is last generation and does not have the latest technology,
4- There have been several up and coming companies that are beginning to enter our market space,
5. Word is that a new highway is being built in the next couple of years. making it easier to transport our products from the factory.
6. The employees who work for us are highly skilled and leaders in their field.
7. Management does not provide a big budget to support the world-class staff that work for the company.
g. The company uses a fair amount of short-term debt financed through the bank. Economic projections indicate that interest rates may rise in the future and credit will be more difficult to obtain