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Maths
Appreciation and depreciation
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Created by
Archie Ackers
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Cards (10)
What
is appreciation in the context of value over time?
Appreciation
refers to when the value of something
increases
over time.
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How does the value of a house typically change over time?
The value of a house usually
increases
with time.
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If a flat was bought for £74,000 in 2008 and appreciated by 1.5% each year, what is the multiplier used for this appreciation?
The multiplier is
1.015
.
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How do you calculate the value of the flat after four years of appreciation?
You multiply £74,000 by the
multiplier
raised to the
power
of 4, which is
(
1.015
)
4
×
74000
(1.015)^4 \times 74000
(
1.015
)
4
×
74000
.
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What is the final value of the flat after four years of appreciation?
The value of the flat after four years is
£78,540.90
.
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What are the methods to calculate appreciation?
Use the
multiplier method
.
Calculate the
percentage increase
and add it repeatedly.
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What is the percentage increase used in the appreciation example?
The percentage increase used is
1.5%
.
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What is the formula for calculating appreciation using the multiplier method?
The formula is
V
a
l
u
e
=
Value =
Va
l
u
e
=
I
n
i
t
i
a
l
V
a
l
u
e
×
(
1
+
Percentage Increase
)
Number of Years
Initial \, Value \times (1 + \text{Percentage Increase})^{\text{Number of Years}}
I
ni
t
ia
l
Va
l
u
e
×
(
1
+
Percentage Increase
)
Number of Years
.
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What are the differences between appreciation and depreciation?
Appreciation: Value
increases
over time.
Depreciation: Value
decreases
over time.
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What is the significance of the multiplier method in financial calculations?
It simplifies the calculation of
appreciation
and
depreciation
.
It allows for easy computation over multiple periods.
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