iginal value).  C) The differences between the effects of discount rates become larger as the time to payment gets shorter.  D) Tripling the discount rate decreases present value to a third of the original value (that is, 1/3 of the original value).

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 7P
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A) A discount rate of 0% means that payments are worth the same today and at all points in future.
B) Tripling the time to payment decreases present value to a third of the original value (that is, 1/3 of the original value). 
C) The differences between the effects of discount rates become larger as the time to payment gets shorter. 
D) Tripling the discount rate decreases present value to a third of the original value (that is, 1/3 of the original value). 
The following table shows the present values of a $1 payment in the future,
discounted at different rates. For example, $1 paid in 10 years' time is worth
$0.82 today when discounted at 2% annually.
Discount rate (%)
Years in the future
1
10
50
100
0.0%
$1.00
$1.00
$1.00
$1.00
$1.00
1.0%
$1.00
$0.99
$0.90
$0.61
$0.37
2.0%
$1.00
$0.98
$0.82
$0.37
$0.14
5.0%
$1.00
$0.95
$0.61
$0.09
$0.01
Based on this information, which of the following statements is correct?
Transcribed Image Text:The following table shows the present values of a $1 payment in the future, discounted at different rates. For example, $1 paid in 10 years' time is worth $0.82 today when discounted at 2% annually. Discount rate (%) Years in the future 1 10 50 100 0.0% $1.00 $1.00 $1.00 $1.00 $1.00 1.0% $1.00 $0.99 $0.90 $0.61 $0.37 2.0% $1.00 $0.98 $0.82 $0.37 $0.14 5.0% $1.00 $0.95 $0.61 $0.09 $0.01 Based on this information, which of the following statements is correct?
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