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Solving Present Value and Future Value Problems

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It's important to understand the fundamentals of finance. This entails understanding the time value of money. The value of a typical corporate bond is the present value of an annuity plus the present value of a lump sum. Thus, if you don't understand how to calculate the present value of a lump sum or the present value of an annuity, it's highly unlikely you'll be able to determine the value of a typical corporate bond. Thus, in this Case Assignment, you will work through a variety of time value of money problems.

Answer these problems and show your work:

Calculate the present value of the following lump sums:
$100,000 to be received five years from now with a 5% annual interest rate
$200,000 to be received 10 years from now with a 10% annual interest rate
Calculate the future value of the following lump sums:
$100,000 if invested for five years at a 5% annual interest rate
$200,000 if invested for 10 years at a 10% annual interest rate
Calculate the present value of these ordinary annuities:
$100,000 to be received each year for five years with a 5% annual interest rate
$200,000 to be received each year for 10 years with a 10% annual interest rate
Calculate the future value of these ordinary annuities:
$100,000 if invested each year for five years at a 5% annual interest rate
$200,000 if invested each year for 10 years at a 10% annual interest rate
Calculate the present value of these perpetuities:
$100,000 to be received each year forever with a 5% annual interest rate
$200,000 to be received each year forever with a 10% annual interest rate
Submit your assignment by creating a table in Word. Interpret the results in Word. Your complete assignment should be 3-4 pages.

Assignment Expectations
You are expected to:

Describe the purpose of the report and provide a conclusion. An introduction and a conclusion are important because many busy individuals in the business environment may only read the first and the last paragraph. If those paragraphs are not interesting, they never read the body of the paper.
Answer the Case Assignment question(s) clearly and provide necessary details.
Write clearly and correctly—that is, no poor sentence structure, no spelling and grammar mistakes, and no run-on sentences.
Provide citations to support your argument and references on a separate page. (All the sources that you listed in the references section must be cited in the paper.) Use APA format to provide citations and references.
Type and double-space the paper.
Whenever appropriate, please use Excel to show supporting computations in an appendix, present financial information in tables, and use the data computed to answer follow-up questions. In finance, in addition to being able to write well, it's important to present information in a professional manner and to analyze financial information. This is part of the assignment expectations and will be considered for grading purposes.

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Solution Summary

Computation and analysis of the Future and present values of ordinary annuities, lump sums, and perpetuities.

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See Also This Related BrainMass Solution

Compute the present value of this stream of income at a discount rate of 8%. Compare the present values of the income stream under the three discount rates.

Suppose you just inherited a gold mine. This gold mine is believed to have three years worth of gold deposit. Here is how much income this gold mine is projected to bring you each year for the next three years:
Year 1: $42,000,000
Year 2: $62,000,000
Year 3: $99,000,000
Compute the present value of this stream of income at a discount rate of 8%. Remember, you are calculating the present value for a whole stream of income, i.e. the total value of receiving all three payments (how much you would pay right now to receive these three payments in the future). Your answer should be one number - the present value for this oil well at a 8% discount rate but you have to show how you got to this number.
Now compute the present value of the income stream from the gold mine at a discount rate of 6%, and at a discount rate of 4%. Compare the present values of the income stream under the three discount rates.

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