You've just been hired by RhombiData. The new job includes company contributions to a qualified savings plan. RhombiData will make an annual contribution of $4,000 in Year 1 (payments are made all at once at the end of the year), but will then raise the amount it contributes by 3.0% annually for 7 years (Years 2 through 8); and then, as a loyalty incentive, will raise the annual increase to 5% annually starting with the Year 9 contribution. You anticipate that the average annual return on all contributions will be 7% compounded annually (which you also consider your discount rate). You plan to retire in 19 years, when RhombiData will have made 19 contributions-making all contributions on the last day of the year, including one on your last day of work. You know your salary amount but are trying to assess the value today of the company contributions to your savings plan. (You are excluding the value of your own savings contributions.) In today's dollars (PV), what are the nineteen (19) RhombiData contributions worth? $51,584 $55,050 $40,835 $25,757 $54,447

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 22P
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You've just been hired by RhombiData. The new job includes company
contributions to a qualified savings plan. RhombiData will make an annual
contribution of $4,000 in Year 1 (payments are made all at once at the
end of the year), but will then raise the amount it contributes by 3.0%
annually for 7 years (Years 2 through 8); and then, as a loyalty incentive,
will raise the annual increase to 5% annually starting with the Year 9
contribution.
You anticipate that the average annual return on all contributions will be
7% compounded annually (which you also consider your discount rate).
You plan to retire in 19 years, when RhombiData will have made 19
contributions-making all contributions on the last day of the year,
including one on your last day of work. You know your salary amount but
are trying to assess the value today of the company contributions to your
savings plan. (You are excluding the value of your own savings
contributions.)
In today's dollars (PV), what are the nineteen (19) RhombiData contributions
worth?
$51,584
$55,050
$40,835
$25,757
$54,447
Transcribed Image Text:You've just been hired by RhombiData. The new job includes company contributions to a qualified savings plan. RhombiData will make an annual contribution of $4,000 in Year 1 (payments are made all at once at the end of the year), but will then raise the amount it contributes by 3.0% annually for 7 years (Years 2 through 8); and then, as a loyalty incentive, will raise the annual increase to 5% annually starting with the Year 9 contribution. You anticipate that the average annual return on all contributions will be 7% compounded annually (which you also consider your discount rate). You plan to retire in 19 years, when RhombiData will have made 19 contributions-making all contributions on the last day of the year, including one on your last day of work. You know your salary amount but are trying to assess the value today of the company contributions to your savings plan. (You are excluding the value of your own savings contributions.) In today's dollars (PV), what are the nineteen (19) RhombiData contributions worth? $51,584 $55,050 $40,835 $25,757 $54,447
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The PV of future payments is used to find their cumulative value after they have been discounted at an assumed rate. It is used by investors to determine the actual value of their investments today.

 

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