The 4-Bedroom FMR is computed from a 2000 Census Base 4-Bedroom Rent and updated using the same update factors derived for the 2-Bedroom FMR. The 4-Bedroom FMR may be separately rebenchmarked from the 2-Bedroom FMR by a special RDD of 4-Bedroom rental units.

The actual 2000 Census 4-Bedroom Base Rent and Revised Final 2005 4-Bedroom FMR for
**Richmond County, NC** are: **$528** and **$591.**
All FMRs are 40th percentile rents. The update factors used to derive the
Revised Final 2005 4-Bedroom FMR are summarized in the table below. The sources
of the update factors are the same as the sources for the 2-Bedroom FMR update factors.

4-Bedroom FMR Update Process for Richmond County, NC |
||
---|---|---|

Data Year | Amount | Change from Previous* |

2000 Census Base | $528 | - |

2001 | $540 | 2.2% |

2002 | $559 | 3.6% |

2003 | $558 | -0.2% |

2004 | $574 | 2.8% |

FY 2005 Final | $591 | 3.0% |

FY 2005 Revised Final | $591 | No Change |

page due to rounding of FMRs to the nearest dollar.

The remainder of this page demonstrates how the 2000 Census 4-Bedroom Base Rent is computed.

FMR estimates are calculated for 2-bedroom units, the most common size of rental units, and therefore the most reliable to survey and analyze. After each decennial Census, rent relationships between 2-bedroom units and other unit sizes are calculated and used to set FMRs for other units. This is done because it is much easier to update 2-bedroom estimates and to use pre-established cost relationships with other bedroom sizes than it is to develop independent FMR estimates for each bedroom size.

Adjustments are made to the Census results for areas with local bedroom-size intervals above or below what are
considered to be reasonable ranges or where sample sizes are inadequate to accurately measure bedroom rent
differentials. Experience has shown that highly unusual bedroom ratios typically reflect inadequate sample
sizes or peculiar local circumstances that HUD would not want to utilize in setting FMRs
(e.g., luxury efficiency apartments in New York City that rent for more than typical one-bedroom units).
Bedroom interval ranges were established based on an analysis of the range of such intervals
for all areas with large enough samples to permit accurate bedroom ratio determinations.
The final range for 4-bedroom units is between
1.14 and 1.63
of the 2-bedroom unit FMR. In **Richmond County, NC**, the 4-bedroom unit base FMR
is restricted to be between $465 and
$665 before application of the large unit adjustment described below.

The rents for three-bedroom and larger units continue to reflect HUD’s policy to set higher rents for these units than would result from using normal market rents. This adjustment is intended to increase the likelihood that the largest families, who have the most difficulty in leasing units, will be successful in finding eligible program units. The adjustment adds bonuses of 8.7 percent to the unadjusted three-bedroom FMR estimates and adds 7.7 percent to the unadjusted four-bedroom FMR estimates.

Bedroom rents for a given FMR area are further adjusted if the differentials between bedroom-size FMRs were inconsistent with normally observed patterns.

In computing 2000 Census RentBedroom Rents, HUD actually uses data on rent distributions
that are prohibited from public release under Title XIII to protect the
confidentiality of respondents. The distributions used in this demonstration
are rounded versions of the actual, protected data.

The rounding scheme is as follows:

0, count = 0

1 to 7, count = 4

all other counts are rounded to the nearest 5 (e.g., 10, 15, 20, 25, etc.)

CALCULATIONS USING THE ROUNDED DATA MAY NOT PRODUCE THE SAME RESULT AS CALCULATIONS
USING THE PROTECTED DATA. THE DIFFERENCE BETWEEN HUD'S ACTUAL RESULTS AND THOSE
DEMONSTRATED HERE IS INVERSELY RELATED TO THE SIZE OF THE FMR AREA. THAT IS,
THE LARGER THE AREA, THE CLOSER THE CALCULATION BASED ON THE
ROUNDED DATA IS LIKELY TO BE TO THE CENSUS BASE FMR COMPUTED FROM THE PROTECTED DATA.

HUD uses rents for recent movers in standard quality units to set the Census 2000 Base Rent.
"Standard Quality" units and rents are determined by limiting the full Census sample by including only responses
meeting the following criteria:

a. Occupied rental units paying cash rent

b. Specified renter – on 10 acres or less

c. with full plumbing

d. with full kitchen

e. built before 1999

f. meals not included in rent

"Recent Mover" rents are determined by further limiting the "Standard Quality" sample with the following
additional criterion:

g. moved in within the last two years

The 2000 Census did not include a question that could be used to filter public
or assisted housing from the rental distributions, however HUD is required to ensure that FMRs
exclude non-market rental housing in their computation. Therefore, HUD excludes all units falling below a
specified rent level determined from public housing rents in HUD's program databases as
likely to be either assisted housing or otherwise at a below-market rent (perhaps due to
quality problems not otherwise captured by the Census questions). The "public housing" rent
cut-off for 4-bedroom units in
**Richmond County, NC** is $290.

The following table and calculations demonstrate how the 40th percentile Census 2000
4-Bedroom Base Rent is determined for **Richmond County, NC** using the
public distribution of recent mover rents for 4-bedroom
units in the FMR area.

Portion of Recent Mover Rent Distribution | Gross Rent Dollar Range | Number of Units | Percent of Eligible Distribution | Cumulative Percent |
---|---|---|---|---|

Units below interval containing public housing rent level of $290 |
$1 to $274 | 10 | Not in Distribution | Not in Distribution |

Units in interval containing public houising rent level of $290 |
$275 to $289 | 0.00 | Not in Distribution | Not in Distribution |

$290 to $299 | 0.00 | 0.0% | 0.0% | |

Units below interval containing 40th percentile recent mover rent of $429 |
$300 to $424 | 14 | 33.3% | 33.3% |

Units in interval containing 40th percentile recent mover rent of $429 |
$425 to $449 | 20 | 47.6% | 81.0% |

Units above interval containing 40th percentile recent mover rent of $429 |
$450 or more | 8 | 19.0% | 100.0% |

Total units Above Public Housing Rent in Recent Mover Rent Distribution | 42.00 |

There were no recent mover 4-bedroom units in the rent interval containing the Public Housing Rent level of $290.

The 40th percentile recent mover rent for **Richmond County, NC** is computed by linear
interpolation over the 20 units in the rent range
$425 to $449. Linear interpolation
uses the assupmtion that the 20 units' rents are uniformly distributed
in the rent range around the 40th percentile.
Under this assumption, the proportion of the rent interval ($25)
that needs to be added to the lower limit of the interval to reach the 40th percentile rent
is the same as the proportion of units in the interval that needs to be added to the units in lower rent intervals
to reach 40 percent of units in the distribution.

40 percent of units = 0.4 x 42.00 = 16.80

Units below the 40th percentile rent interval = 14.00 + 0.00 = 14.00

Units in 40th percentile rent interval needed to reach 40 percent of units = 16.80 - 14.00 = 2.80

Additional Units as Proportion of Interval = 2.80 / 20.00 = 0.14

Dollars Added to Lower Limit of Interval to reach 40th percentile rent = 0.14 x $25 = $4

**40th percentile recent mover rent = $425 + $4
= $429 **

Before using the Census 2000 recent mover rent as the base FMR, HUD checks the standard quality rent for the area to ensure that the recent mover rent is high enough to reach as the 40th percentile standard quality units. The recent mover rent may be below the standard quality rent in areas where rental housing markets are particularly stressed such that recent mover rents will not cover the expenses of operating standard quality units.

The following table and calculations demonstrate how the 40th percentile Census 2000
standard quality is determined for **Richmond County, NC** using the public distribution of standard quality rents
for the FMR area.

Portion of Standard Quality Rent Distribution | Gross Rent Dollar Range | Number of Units | Percent of Eligible Distribution | Cumulative Percent |
---|---|---|---|---|

Units below interval containing public housing rent level of $290 |
$1 to $274 | 20 | Not in Distribution | Not in Distribution |

Units in interval containing public houising rent level of $290 |
$275 to $289 | 0.00 | Not in Distribution | Not in Distribution |

$290 to $299 | 0.00 | 0.0% | 0.0% | |

Units below interval containing 40th percentile standard quality rent of $446 |
$300 to $424 | 40 | 23.3% | 23.3% |

Units in interval containing 40th percentile standard quality rent of $446 |
$425 to $449 | 35 | 20.3% | 43.6% |

Units above interval containing 40th percentile standard quality rent of $446 |
$450 or more | 97 | 56.4% | 100.0% |

Total Units Above Public Housing Rent in Standard Quality Rent Distribution | 172.00 |

There were no standard quality 4-bedroom units in the rent interval containing the Public Housing Rent level of $290.

The 40th percentile standard quality rent for **Richmond County, NC** is computed by linear
interpolation over the 35 units in the rent range
$425 to $449. Linear interpolation
uses the assupmtion that the 35 units' rents are uniformly distributed
in the rent range around the 40th percentile.
Under this assumption, the proportion of the rent interval ($25)
that needs to be added to the lower limit of the interval to reach the 40th percentile rent
is the same as the proportion of units in the interval that needs to be added to the units in lower rent intervals
to reach 40 percent of units in the distribution.

40 percent of units = 0.4 x 172.00 = 68.80

Units below the 40th percentile rent interval = 40 + 0.00 = 40.00

Units in 40th percentile rent interval needed to reach 40 percent of units = 68.80 - 40.00 = 28.80

Additional Units as Proportion of Interval = 28.80 / 35 = 0.8229

Dollars Added to Lower Limit of Interval to reach 40th percentile rent = 0.8229 x $25 = $21

**40th percentile standard quality rent = $425 + $21
= $446 **

Since the standard quality rent of $446 is higher than the recent mover rent of $429,
the standard quality rent of **$446** is the unadjusted 2000 Census Base Rent for
4-Bedroom Units in **Richmond County, NC**.

The unadjusted 2000 Census 4-Bedroom Base Rent of **$446**
is outside of the reasonable range of $465 to $665.
It is therefore increased to **$465**.

To reflect HUD’s policy to set higher rents for 4-bedroom units
than would result from using normal market rents, the results obtained above
are adjusted upward by 7.7 percent to **$501** to increase the likelihood that
the largest families, who have the most difficulty in leasing units, will be successful in finding eligible program
units.

To ensure that the differentials between bedroom-size FMRs were inconsistent with normally observed patterns,
the 4-Bedroom Base Rent is adjusted upward from **$501**
to
**$528**.

The difference between the actual 2000 Census 4-Bedroom
Base Rentof **$528**
and the demonstration 2000 Census 4-Bedroom Base Rent of
**$528** computed here is
due to the effects of rounding on the public distribution as described above.

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