Inflation If the average inflation rate is 2%, how long is It until purchasing power is cut in half?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 63SE: In the year 1985, a house was valued at 110,000. Bythe year 2005, the value hadappreciated to...
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61,67 please
th of purchasing power now will have only $970 worth of purchdsin
= 30) has been eroded due to inflation. In general, if the rate of inflation
urchase after n years is
9.(1-r)"
60. Inflation If the purchasing power of $1000 is only $930
after 2 years, what was the average inflation rate?
61. Inflation If the average inflation rate is 2%, how long is it
until purchasing power is cut in half?
62. Inflation If the average inflation rate is 4%, how long is it
until purchasing power is cut in half?
Iis a bond that is sold now at a discount and will pay its face value at the
67. Time to Double or Triple an Investment The formula
In mi
t =
n In 1 +-
n
can be used to find the number of years t required to multiply
an investment m times when r is the per annum interest rate
compounded n times a year.
(a) How many years will it take to double the value of an
IRA that compounds annually at the rate of 6%?
(b) How many years will it take to triple the value of a
savings account that compounds quarterly at an annual
rate of 5%?
(c) Give a derivation of this formula.
Transcribed Image Text:th of purchasing power now will have only $970 worth of purchdsin = 30) has been eroded due to inflation. In general, if the rate of inflation urchase after n years is 9.(1-r)" 60. Inflation If the purchasing power of $1000 is only $930 after 2 years, what was the average inflation rate? 61. Inflation If the average inflation rate is 2%, how long is it until purchasing power is cut in half? 62. Inflation If the average inflation rate is 4%, how long is it until purchasing power is cut in half? Iis a bond that is sold now at a discount and will pay its face value at the 67. Time to Double or Triple an Investment The formula In mi t = n In 1 +- n can be used to find the number of years t required to multiply an investment m times when r is the per annum interest rate compounded n times a year. (a) How many years will it take to double the value of an IRA that compounds annually at the rate of 6%? (b) How many years will it take to triple the value of a savings account that compounds quarterly at an annual rate of 5%? (c) Give a derivation of this formula.
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