|
A
CPD Grantee is providing HOME funds to ABC Development to rehabilitate
Vista Garden Apartments. Although the apartment's furnace is rather
old and inefficient, it is still in working condition. Currently,
the annual energy costs for the existing furnace is $1,000. ABC
Development wants to assess whether to replace the existing furnace
with an energy efficient model. They have determined that the annual
energy cost for the new energy efficient furnace is $750. The cost
of purchasing (and installing) a new inefficient furnace is about
$1,200. The cost of purchasing a new high efficiency furnace is
about $1,600.
To
calculate the payback ABC Development, use the following formulas:
|
First Cost |
=
|
Incremental
cost of purchasing the new furnace |
|
=
|
Cost
of high efficiency furnace - Cost of inefficient furnace |
|
=
|
$1,600
- $1,200 |
|
=
|
$400
|
| |
|
|
| Annual
Savings |
=
|
Annual
Energy Cost Existing Furnace - Annual Energy Cost of New Furnace |
|
=
|
$1,000
- $750 |
|
=
|
$250
|
| |
|
|
| Payback
Period |
=
|
First
Cost / Annual Savings |
|
=
|
$400
/ $250 |
|
=
|
1.6
years |
Lets
walk through this together:
- Annual Cost of Existing Furnace = $1,000
- Annual Cost of New Furnace = $750
- The incremental first cost is estimated to be $800.
In
this example, the annual energy savings of $250 will pay for the
incremental cost of the new furnace in 1.6 years.
A
financial benefit to the owner occurs if the annual savings exceeds
the amortized first cost of the energy efficiency measure. For instance,
if an owner is expected to reside in a unit where the new energy-efficient
equipment is installed for 8 years, the amortized
first cost of the energy efficiency measure over the residence
of that person is approximately $145, assuming a 9% interest rate.
| Annual
Cost of Furnace Purchase |
= |
Amortized
First Cost ($400, at 9% for 8 years) |
| = |
$72
/ year |
The
$72 annual cost of the furnace is less than $250 of annual energy
savings. Therefore, the purchase of the energy efficient furnace
is justifiable.
|