Nonlinear econometrics for finance
HOMEWORK 1
(Review of linear econometrics and review of
methods)
Problem 1 (Linear econometrics). (60 points) Household finance is a
growing field in finance. Rising health costs are not just impacting house-
holds’ finances, they are affecting an a
ay of decisions, including the decision
to change (or retire from) an occupation which provides favorable health in-
surance subsidies. For a cross section of individuals, the file “insurance.csv”
provides the following information:
• age: age of primary beneficiary of health insurance
• sex: gender of primary beneficiary of health insurance
• bmi : this is a measure of a person’s weight relative to height. It is
defined as bmi = kg/m2, where kg is the person’s weight and m2 is the
person’s height measured in squared meters. A bmi between 18.5 and
24.9 is considered healthy. More would be considered “overweight”.
• children: number of children covered by health insurance
• smoker: whether the primary beneficiary is a smoker or not
• region: the primary beneficiary’s residential area in the US (northeast,
southeast, northwest, southwest)
• charges: medical costs billed to health insurance.
Given this information, you need to perform linear regression in Python to
understand the drivers of medical costs.
1
(1) (3 points) Generate an histogram of the medical costs and compute de-
scriptive statistics (mean, median, standard deviation, minimum, max-
imum). Is the distribution symmetric? Why or why not, in your view?
(2) (3 points) Take a logarithmic transformation of the medical costs. Plot
the histogram of the log-costs. What do you notice now? How would
you explain the change?
Begin by excluding all categorical variables (sex, smoker and region).
(3) (4 points) Run a regression of the log-costs on the non-categorical ex-
planatory variables:
log(costi) = θ0 + θ1agei + θ2bmii + θ3childreni + εi,
where εi is an e
or term.
(4) (3 points) Give an economic interpretation of the estimated coefficients
in the regression above. What does the model say about the determi-
nants of medical costs?
(5) (4 points) We want to test whether the coefficient θ2 for bmi is statis-
tically significant. Test the hypothesis using the relevant test statistic.
Does bmi have more or less explanatory power than age?
(6) (3 points) We want to test whether the coefficient θ2 for bmi is statis-
tically significant. Test the hypothesis using the relevant p-value.
(7) (5 points) Test the single linear restriction θ1 = 3θ2 using the relevant
test statistic.
(8) (3 points) Test the single linear restriction θ1 = 3θ2 using the relevant
p-value.
(9) (5 points) Test the multiple linear restriction θ1 = 0.04 and θ2 = 0
using the relevant test statistic.
XXXXXXXXXXpoints) Test the multiple linear restriction θ1 = 0.04 and θ2 = 0
using the relevant p-value.
2
XXXXXXXXXXpoints) Using the estimated model, predict medical costs for a 50
year-old person with bmi = 36 and 4 children. Is the prediction lower o
higher than the mean of the distribution of the medical costs? (Recall
that the regression gives you a prediction for the log of the medical
costs (say, log(y)) not for the medical costs (say, y). Hence, after you
find the prediction for the log of the medical costs, you need to make
a transformation to find a prediction for the medical costs themselves.
Hint: if log(y) is normal, y is lognormal. What is E(y) for a log normal
andom variable? )
Now, take the categorical variables into account using dummy variables
(https:
en.wikipedia.org/wiki/Dummy_variable_(statistics)).
XXXXXXXXXXpoints) How much more (or less) do males spend relative to females
(controlling for all other variables)?
XXXXXXXXXXpoints) How much more (or less) do smokers spend relative to non
smokers (controlling for all other variables)?
XXXXXXXXXXpoints) In which region are medical costs higher (controlling for all
other variables)?
XXXXXXXXXXpoints) What is the difference in medical costs between the northeast
and the southwest (controlling for all other variables)?
XXXXXXXXXXpoints) Are the coefficients associated with the dummies individually
statistically significant?
XXXXXXXXXXpoints) Using your model, predict medical costs for a 50 year-old
male smoker with bmi = 36 who lives in the southwest and has 4
children.
Problem 2 (Review of methods). (40 points) Assume an iid sample
{x1, x2, ..., xT} from some distribution with expected value µ and variance σ2.
A natural estimator for the true variance (i.e., σ2) of the random variable
which generates the data is the sample variance, namely s2x =
1
T
∑T
t=1(xt −
X)2, where X defines the sample mean, i.e., X = 1
T
∑T
t=1 xt.
First, let us focus on the finite-T (or finite-sample) properties of s2x:
3
https:
en.wikipedia.org/wiki/Dummy_variable_(statistics)
(1) (6 points) Show that the sample variance s2x is biased for the true
variance σ2.
(2) (3 points) How would you co
ect the bias?
(3) (3 points) What is the bias of the infeasible variance estimator s2x,inf =
1
T
∑T
t=1(xt − µ)2. Why am I calling this estimator infeasible?
Now, let us turn to the large-T (or infinite-sample or asymptotic) properties
of s2x. Write the following:
s2x =
1
T
T∑
t=1
(xt −X)2
=
1
T
T∑
t=1
((xt − µ)− (X − µ))2
=
1
T
T∑
t=1
(xt − µ)2︸ ︷︷ ︸
(a)
− 2(X − µ) 1
T
T∑
t=1
(xt − µ)︸ ︷︷ ︸
(b)
+ (X − µ)2︸ ︷︷ ︸
(c)
(1)
Now, subtract σ2 from the left-hand side and from the right-hand side of Eq.
(1) and standardize by
√
T to obtain:
√
T (s2x − σ2) =
∑T
t=1((xt − µ)2 − σ2)√
T︸ ︷︷ ︸
(a∗)
− 2(X − µ) 1√
T
T∑
t=1
(xt − µ)︸ ︷︷ ︸
(b∗)
+
√
T (X − µ)2︸ ︷︷ ︸
(c∗)
(2)
(4) (6 points) Show that s2x is consistent for σ
2 by applying the LLN to
(a), (b) and (c) in Eq (1).
(5) (6 points) Show that
√
T (s2x − σ2) is asymptotically normal by ap-
plying the LLN, the CLT and Slutsky’s theorem to (a∗), (b∗) and (c∗)
in Eq. (2).
Notice that consistency is a statement about sample averages, like s2x, con-
verging (as T →∞) to expected values. Asymptotic normality is a statement
about demeaned (by σ2, in our example) and standardized (by
√
T , in
our example) sample averages, like
√
T (s2x − σ2), converging (as T →∞) to
a mean-zero normal distribution.
4
(6) (8 points) Use my sample Python codes from Lecture 1 to write a code
which shows consistency of s2x. You should draw your observations from
a random variable which is neither exponential nor normal.
(7) (8 points) Use my sample Python codes from Lecture 1 to write a code
which shows asymptotic normality of
√
T (s2x − σ2). You should draw
your observations from a random variable which is neither exponential
nor normal.
5
Sheet1
id price street zip yearBuilt sqft bathrooms bedrooms
XXXXXXXXXX 41085 603 N Ellwood Ave 21205 1915 1232 2 4
XXXXXXXXXX 94720 26 S Robinson St 21224 1904 1092 1.5 2
XXXXXXXXXX 190692 4 S East Ave 21224 1904 1300 2 3
XXXXXXXXXX 78973 2707 Jefferson St 21205 1920 910 1 3
XXXXXXXXXX 34586 436 N Linwood Ave 21224 1920 1344 1.5 3
XXXXXXXXXX 146961 430 N Linwood Ave 21224 1920 1344 2 4
XXXXXXXXXX 32935 2818 Orleans St 21224 1920 1144 1 2
XXXXXXXXXX 55968 414 N Robinson St 21224 1920 960 1 3
XXXXXXXXXX 62782 447 N Ellwood Ave 21224 1920 1040 1 3
XXXXXXXXXX 46589 2705 Orleans St 21224 1920 1188 2 3
XXXXXXXXXX 66367 417 N Glover St 21224 1900 1100 1 2
XXXXXXXXXX 122374 210 N Glover St 21224 1900 1020 1 2
XXXXXXXXXX 75724 115 N Streeper St 21224 1920 912 1 2
XXXXXXXXXX 67674 229 N Curley St 21224 1920 1820 1 2
XXXXXXXXXX 41669 142 N Curley St 21224 1920 1020 1 2
XXXXXXXXXX 82770 161 N Curley St 21224 1920 936 1 3
XXXXXXXXXX 123802 153 N Potomac St 21224 1920 960 1 3
XXXXXXXXXX 28983 604 N Belnord Ave 21205 1907 960 1 2
XXXXXXXXXX 140901 3717 Kimble Rd 21218 1937 1400 2.5 3
XXXXXXXXXX 103349 3951 Wilsby Ave 21218 1925 1156 1 2
XXXXXXXXXX 108572 3943 Frisby St 21218 1920 1368 2 6
XXXXXXXXXX 140607 928 Argonne Dr 21218 1940 1600 2 3
XXXXXXXXXX 91141 603 Parkwyrth Ave 21218 1925 1176 2 3
XXXXXXXXXX 126604 605 E 35th St 21218 1920 1500 2.5 3
XXXXXXXXXX 152554 3200 Ellerslie Ave 21218 1924 1480 2 3
XXXXXXXXXX 178388 1202 Lakeside Ave 21218 1937 1360 2 3
XXXXXXXXXX 177661 1201 Windemere Ave 21218 1937 1288 2 3
XXXXXXXXXX 164856 1313 Lakeside Ave 21218 1936 2100 2 3
XXXXXXXXXX 110173 660 E 35th St 21218 1920 1260 1 3
XXXXXXXXXX 92770 600 Mckewin Ave 21218 1923 1464 1 3
XXXXXXXXXX 94970 722 E 37th St 21218 1955 986 2 3
XXXXXXXXXX 137913 902 E 36th St 21218 1930 2168 1 3
XXXXXXXXXX 161391 909 Mckewin Ave 21218 1931 1220 1.5 2
XXXXXXXXXX 165043 906 Mckewin Ave 21218 1931 1220 2 2
XXXXXXXXXX 167861 926 E 37th St 21218 1938 1500 2 3
XXXXXXXXXX 135183 3701 Elkader Rd 21218 1932 1120 2 3
XXXXXXXXXX 159510 3717 Elkader Rd 21218 1932 1088 1 3
XXXXXXXXXX 142752 3616 Rexmere Rd 21218 1930 1360 1 3
XXXXXXXXXX 174578 1108 E 36th St 21218 1927 1608 1.5 4
XXXXXXXXXX 177418 3614 Ednor Rd 21218 1928 1496 2 3
XXXXXXXXXX 161668 813 Newington Ave 21217 1900 2440 3 4
XXXXXXXXXX 105574 2335 Mcculloh St 21217 1991 1242 2 3
XXXXXXXXXX 158953 2224 Madison Ave 21217 1900 4592 6.5 8
XXXXXXXXXX 144601 2301 Madison Ave 21217 1907 1907 3 5
XXXXXXXXXX 243934 906 Whitelock St 21217 1908 2880 3 4
XXXXXXXXXX 65664 911 Chauncey Ave 21217 1922 2486 2 5
XXXXXXXXXX 184563 907 Chauncey Ave 21217 1922 1980 3 4
XXXXXXXXXX 245677 2520 Brookfield Ave 21217 1918 2156 3 5
XXXXXXXXXX 160566 818 Brooks Ln 21217 1917 2100 3 4
XXXXXXXXXX 306504 607 Reservoir St 21217 1890 2436 3 3
XXXXXXXXXX 232025 2034 Park Ave 21217 1880 3450 4 6
XXXXXXXXXX 135504 737 Newington Ave 21217 1905 2715 2 6
XXXXXXXXXX 253579 2132 Mount Royal Ter 21217 1890 2976 2.5 5
XXXXXXXXXX 122469 2136 Mount Royal Ter 21217 1920 1538 1 3
XXXXXXXXXX 130204 2138 Mount Royal Ter 21217 1928 1485 2 3
XXXXXXXXXX 295413 608 Reservoir St 21217 1895 2720 2.5 5
XXXXXXXXXX 116214 2108 Park Ave 21217 1932 1340 1.5 3
XXXXXXXXXX 79752 2204 Mount Royal Ter 21217 1935 1683 1.5 4
XXXXXXXXXX 124252 4821 Hazelwood Ave 21206 1947 1215 1 4
XXXXXXXXXX 171541 6012 Mannington Ave 21206 1956 1226 3 3
XXXXXXXXXX 181706 4503 Raspe Ave 21206 1926 1084 2.5 4
XXXXXXXXXX 143269 5712 Utrecht Rd 21206 1965 1184 2 3
XXXXXXXXXX 186406 4501 Raspe Ave 21206 1926 1232 2 4
XXXXXXXXXX 142540 5716 Utrecht Rd 21206 1964 1776 2 3
XXXXXXXXXX 182103 4854 Hazelwood Ave 21206 1941 1800 2 3
XXXXXXXXXX 123437 5642 Leiden Rd 21206 1964 1184 2 3
XXXXXXXXXX 187532 4557 Hazelwood Ave 21206 1951 1800 2.5 3
XXXXXXXXXX 122768 5731 Newholme Ave 21206 1951 1218 3 4
XXXXXXXXXX 187076 4804 Burland Ave 21206 1967 1188 2 4
XXXXXXXXXX 164912 4815 Hazelwood Ave 21206 1947 1215 1 4
XXXXXXXXXX 194110 4408 Raspe Ave 21206 1910 1833 2 4
XXXXXXXXXX 160592 4436 Raspe Ave 21206 1920 1672 2 4
XXXXXXXXXX 137916 4426 Springwood Ave 21206 1957 1192 1 3
XXXXXXXXXX 103353 4307 Springwood Ave 21206 1910 1394 2 3
XXXXXXXXXX 253346 4416 Parkmont Ave 21206 2009 2240 3 3
XXXXXXXXXX 138436 4500 Parkmont Ave 21206 1940 1040 2 3
XXXXXXXXXX 137061 4413 Parkmont Ave 21206 1910 1746 2 3
XXXXXXXXXX 208801 4426 Powell Ave 21206 1910 1780 3.5 4
XXXXXXXXXX 190545 4714 Glerm Ave 21206 1951 2312 2.5 3
XXXXXXXXXX 308276 1200 Steuart St UNIT 327 21230 2008 1386 1.5 1
XXXXXXXXXX 193912 2007 Portugal St 21231 1900 888 1 2
XXXXXXXXXX 245303 6 S Collington Ave 21231 1914 1665 2 2
XXXXXXXXXX 359793 115 S Collington Ave 21231 1900 2151 2 3
XXXXXXXXXX 357163 215 S Collington Ave 21231 1918 2032 2.5 2
XXXXXXXXXX 315602 2117 Bank St 21231 1920 1600 3 2
XXXXXXXXXX 261940 2338 Fleet St 21224 1920 970 2.5 2
XXXXXXXXXX 386786 515 S Montford Ave 21224 1915 1302 3 3
XXXXXXXXXX 353691 2515 Boston St APT 407 21224 1987 1255 2 2
XXXXXXXXXX 345075 2515 Boston St APT 506 21224 1987 1307 2 2
XXXXXXXXXX 269798 600 S Rose St 21224 1920 1080 2 2
XXXXXXXXXX 202929 702 S Rose St 21224 1920 1264 1 1
XXXXXXXXXX 308117 709 S Glover St 21224 1920 1080 2 2
XXXXXXXXXX 441608 1109 S Kenwood Ave 21224 1987 1632 3.5 4
XXXXXXXXXX 234120 1102 S Curley St 21224 1900 1428 1 2
XXXXXXXXXX 393310 3017 Odonnell St 21224 1920 1384 2.5 3
XXXXXXXXXX 439063 2901 Boston St APT 101 21224 1985 2260 2.5 3
XXXXXXXXXX 417945 2901 Boston St APT 105 21224 1910 1772 2.5 3
XXXXXXXXXX 421058 2901 Boston St APT 106 21224 1985 1172 2.5 3
XXXXXXXXXX 273587 2901 Boston St APT 204 21224 1989 1374 2 1
XXXXXXXXXX 437525 2901 Boston St APT 221 21224 1985 2122 2.5 3
XXXXXXXXXX 77785 509 Collins Ave 21229 1920 1232 1 3
XXXXXXXXXX 137542 313 Yale Ave 21229 1920 1633 2 4
XXXXXXXXXX 45755 157 Collins Ave 21229 1900 1184 1 3
XXXXXXXXXX 49424 156 Collins Ave 21229 1900 1200 1 3
XXXXXXXXXX 38622 229 S Augusta Ave 21229 1920 1500 1 4
XXXXXXXXXX 215173 374 Marydell Rd 21229 1950 2500 2 4
XXXXXXXXXX 41204 337 Marydell Rd 21229 1928 1152 1 3
XXXXXXXXXX 81856 4465 Eldone Rd 21229 1955 1024 1 3
XXXXXXXXXX 132273 757 Yale Ave 21229 1953 1122 2 3
XXXXXXXXXX 83028 747 S Woodington Rd 21229 1953 896 1 2
XXXXXXXXXX 67784 722 S Woodington Rd 21229 1953 896 1 2
XXXXXXXXXX 138717 4309 Cedar Garden Rd 21229 1954 1122 1 3
XXXXXXXXXX 69406 4432 Cedar Garden Rd 21229 1955 896 1 2
XXXXXXXXXX 106380 544 Lucia Ave 21229 1955 1296 2 3
XXXXXXXXXX 70583 590 Lucia Ave 21229 1955 1122 1.5 3
XXXXXXXXXX 76303 610 Lucia Ave 21229 1955 1080 2 3
XXXXXXXXXX 64531 626 Lucia Ave 21229 1955 1024 1 3
XXXXXXXXXX 71544 603 Lucia Ave 21229 1955 896 2 2
XXXXXXXXXX 96516 4401 Parkton St 21229 1955 1122 3 3
XXXXXXXXXX 375843 311 S High St 21202 1870 2176 3 3
XXXXXXXXXX 211362 528 S Bethel St 21231 1900 1300 2.5 2
XXXXXXXXXX 298563 215 Albemarle St 21202 1870 1930 2 4
XXXXXXXXXX 223324 219 S High St 21202 1850 1240 1.5 3
XXXXXXXXXX 240292 243 Albemarle St 21202 1870 1200 2 2
XXXXXXXXXX 320607 234 S Exeter St 21202 1870 1456 2 2
XXXXXXXXXX 325122 923 Stiles St 21202 1870 1736 4.5 3
XXXXXXXXXX 263755 309 S High St 21202 1870 2140 2 2
XXXXXXXXXX 267456 1011 Stiles St 21202 1900 2010 2 5
XXXXXXXXXX 236407 519 S Dallas St 21231 1880 1104 2 3
XXXXXXXXXX 504314 704 S Bond St 21231 2000 1975 3 2
XXXXXXXXXX 102342 1306 N Kenwood Ave 21213 1942 1104 2 3
XXXXXXXXXX 40197 2528 E Madison St 21205 1920 646 1 3
XXXXXXXXXX 37437 2800 Ashland Ave 21205 1933 630 2 3
XXXXXXXXXX 33053 2812 E Madison St 21205 1920 585 1 3
XXXXXXXXXX 62341 2309 E Oliver St 21213 1910 597 1 3
XXXXXXXXXX 31621 2604 Mura St 21213 1936 572 2 3
XXXXXXXXXX 27010 2416 E Oliver St 21213 1900 672 1 3
XXXXXXXXXX 62100 3033 E Federal St 21213 1950 1280 2 3
XXXXXXXXXX 59123 1520 Edison Hwy 21213 1945 1710 2 3
XXXXXXXXXX 71672 1627 N Montford Ave 21213 1920 598 1 3
XXXXXXXXXX 92386 1332 N Ellwood Ave 21213 1948 1312 2 3
XXXXXXXXXX 199769 222 E 22nd St 21218 1920 2244 2 5
XXXXXXXXXX 124427 9 W 24th St 21218 1920 1443 2 4
XXXXXXXXXX 231211 2411 Maryland Ave 21218 1900 2466 2.5 2
XXXXXXXXXX 229301 2016 N Calvert St 21218 1890 2256 3 3
XXXXXXXXXX 252031 1631 N Calvert St 21202 1900 2410 4 3
XXXXXXXXXX 286308 1637 N Calvert St 21202 1890 2306 3 3
XXXXXXXXXX 250971 1641 N Calvert St 21202 1900 2306 4 4
XXXXXXXXXX 198593 322 E Lafayette Ave 21202 1917 1900 2 3
XXXXXXXXXX 292900 1705 Guilford Ave 21202 1917 3505 5 4
XXXXXXXXXX 255999 323 E 22nd St 21218 1920 2434 2.5 3
XXXXXXXXXX 194008 336 E 22nd St 21218 1920 2335 2 3
XXXXXXXXXX 234227 320 E 22nd St 21218 1920 2724 2 4
XXXXXXXXXX 188794 2332 Guilford Ave 21218 1920 2174 3 3
XXXXXXXXXX 60183 3312 Cliftmont Ave 21213 1930 1140 2 3
XXXXXXXXXX 108063 3412 Parklawn Ave 21213 1940 1240 2 3
XXXXXXXXXX 81409 3407 Parklawn Ave 21213 1941 1240 2 3
XXXXXXXXXX 72735 3301 Parklawn Ave 21213 1931 1140 1 3
XXXXXXXXXX 92110 3204 Harwell Ave 21213 1923 1120 1 3
XXXXXXXXXX 62609 3334 Lyndale Ave 21213 1924 896 2 3
XXXXXXXXXX 23848 3422 Elmley Ave 21213 1925 896 1 3
XXXXXXXXXX 96937 3101 Belair Rd 21213 1924 1422 1 4
XXXXXXXXXX 100188 3107 Mareco Ave 21213 1926 1248 2 3
XXXXXXXXXX 36288 3227 Ravenwood Ave 21213 1920 1100 1 3
XXXXXXXXXX 45893 3328 Ravenwood Ave 21213 1925 932 1 2
XXXXXXXXXX 84376 3317 Ravenwood Ave 21213 1925 932 1 3
XXXXXXXXXX 63361 3434 Ravenwood Ave 21213 1925 932 1 3
XXXXXXXXXX 53462 3601 Ravenwood Ave 21213 1953 1280 2 4
XXXXXXXXXX 62675 3726 Bonview Ave 21213 1954 1080 2 2
XXXXXXXXXX 54982 3635 Lyndale Ave 21213 1950 840 1 2
XXXXXXXXXX 68597 3833 Lyndale Ave 21213 1950 1024 1 3
XXXXXXXXXX 108404 3563 Elmley Ave 21213 1941 1200 2 3
XXXXXXXXXX 90043 3619 Erdman Ave 21213 1950 1280 2 3
XXXXXXXXXX 37612 2803 Edison Hwy 21213 1942 1200 2 3
XXXXXXXXXX 66585 2108 Mount Holly St 21216 1920 2400 2 4
XXXXXXXXXX 68131 2003 Dukeland St 21216 1920 1600 3 4
XXXXXXXXXX 93193 3329 Burleith Ave 21215 1930 1296 2 3
XXXXXXXXXX 88756 3903 Ga
ison Blvd 21215 1989 1296 2 3
XXXXXXXXXX 75205 3423 Wabash Ave 21215 1949 1546 1 3
XXXXXXXXXX 54845 2811 Presstman St 21216 1920 1452 1 4
XXXXXXXXXX 86818 17 Hamill Rd # 17B 21210 1972 740 1 1
XXXXXXXXXX 98275 3015 Glen Ave 21215 1953 1087 1.5 3
XXXXXXXXXX 113198 2352 Nutmeg Ter 21209 1982 1008 1.5 2
XXXXXXXXXX 70762 5318 Lynview Ave 21215 1948 1350 1.5 3
XXXXXXXXXX 375637 900 Beaumont Ave 21212 1940 3000 2 4
XXXXXXXXXX 86965 1006 Beaumont Ave 21212 1930 1600 1.5 5
XXXXXXXXXX 104322 705 Saint Dunstans Rd 21212 1950 896 2 2
XXXXXXXXXX 112126 7203 Rockland Hills Dr UNIT 206 21209 1985 1175 2 2
XXXXXXXXXX 130662 8424 Oakleigh Rd 21234 1946 1395 2 2
XXXXXXXXXX 102648 2833 Huntingdon Ave 21211 1920 1068 3 3
XXXXXXXXXX 173081 729 Bay St 21211 1846 1500 2 2
XXXXXXXXXX 152000 3405 Greenway UNIT 51 21218 1982 1348 2 2
XXXXXXXXXX 118833 3501 Lyndale Ave 21213 1943 1260 2 3
XXXXXXXXXX 147197 4616 Walther Ave 21214 1931 1582 2 3
XXXXXXXXXX 78689 3606 Eastwood Dr 21206 1948 1152 1.5 3
XXXXXXXXXX 136311 5610 Biddison Ave 21206 1955 1196 2 3
XXXXXXXXXX 143562 3514 Glenmore Ave 21206 1948 1200 1 3
XXXXXXXXXX 100153 3612 Northway Dr 21234 1955 1080 1 3
XXXXXXXXXX 216513 4401 Roland Ave UNIT 402 21210 1963 1300 2 2
XXXXXXXXXX 80371 4708 Hampnett Ave 21214 1920 1584 2 5
XXXXXXXXXX 89078 4612 Elsrode Ave 21214 1950 1280 2 3
XXXXXXXXXX 115959 2104 Louise Ave 21214 1955 1294 2 3
XXXXXXXXXX 115220 1111 Gleneagle Rd 21239 1949 1452 2 4
XXXXXXXXXX 80195 1115 Elbank Ave 21239 1953 1216 1 3
XXXXXXXXXX 98444 353 Homeland Southway APT 3A 21212 1978 1113 2 2
XXXXXXXXXX 163348 1101 Saint Paul St APT 812 21202 1965 1348 2 2
XXXXXXXXXX 173389 2022 Saint Paul St 21218 1900 1264 4 4
XXXXXXXXXX 120274 4312 Newport Ave 21211 1947 832 1 2
XXXXXXXXXX 188561 3026 Pinewood Ave 21214 1931 1919 2 3
XXXXXXXXXX 99100 3403 Roselawn Ave 21214 1941 1299 1.5 3
XXXXXXXXXX 111789 3007 Louise Ave 21214 1896 1760 2 4
XXXXXXXXXX 182991 3005 Louise Ave 21214 1948 1718 3 3
XXXXXXXXXX 127626 3107 Royston Ave 21214 1934 1089 1 3
XXXXXXXXXX 183008 6007 Burgess Ave 21214 1924 1244 2 4
XXXXXXXXXX 133909 6015 Sefton Ave 21214 1918 1187 2 4
XXXXXXXXXX 159917 6107 Carter Ave 21214 1947 1860 3 4
XXXXXXXXXX 162295 5931 Glenoak Ave 21214 1925 1341 2 4
XXXXXXXXXX 208527 5925 Sefton Ave 21214 1938 1246 4 4
XXXXXXXXXX 181262 5909 Ed Ave 21214 1941 1504 2 3
XXXXXXXXXX 189897 5912 Burgess Ave 21214 1927 1815 3 4
XXXXXXXXXX 236612 3021 Glenmore Ave 21214 1923 1892 4 7
XXXXXXXXXX 135962 5910 Ed Ave 21214 1938 1324 2 5
XXXXXXXXXX 190246 3009 Orlando Ave 21234 1925 1682 3 3
XXXXXXXXXX 223646 3121 Woodhome Ave 21234 1941 1480 2.5 6
XXXXXXXXXX 211523 3206 Chesley Ave 21234 1939 1756 3 4
XXXXXXXXXX 202904 3101 Chesley Ave 21234 1931 1885 3 3
XXXXXXXXXX 135144 3115 Chesley Ave 21234 1924 1204 1 2
XXXXXXXXXX 107548 3008 Northway Dr 21234 1929 1749 3 3
XXXXXXXXXX 207994 3014 Northway Dr 21234 1930 2000 3 3
XXXXXXXXXX 99289 3019 Woodring Ave 21234 1951 1200 1 3
XXXXXXXXXX 191547 6421 Alta Ave 21206 1916 2146 3 4
XXXXXXXXXX 151014 6413 Alta Ave 21206 1962 1653 2 3
XXXXXXXXXX 174972 6503 Moyer Ave 21206 1953 1658 2 4
XXXXXXXXXX 99495 3023 Glen Ave 21215 1952 1087 1.5 3
XXXXXXXXXX 172983 3502 Menlo Dr 21215 1925 1935 2 6
XXXXXXXXXX 158676 6015 Highgate Dr 21215 1953 1456 2.5 3
XXXXXXXXXX 166850 5901 Winner Ave 21215 1957 1120 3 3
XXXXXXXXXX 152655 3406 Devonshire Dr 21215 1950 1452 1.5 4
XXXXXXXXXX 151465 5914 Highgate Dr 21215 1924 1398 2 4
XXXXXXXXXX 181657 2601 Taney Rd 21209 1947 1305 2 5
XXXXXXXXXX 155094 6012 Woodcrest Ave 21209 1955 1252 1 2
XXXXXXXXXX 130348 6005 Western Run Dr 21209 1955 1432 2 0
XXXXXXXXXX 66712 5615 Highgate Dr 21215 1947 1088 1.5 3
XXXXXXXXXX 129315 5810 Simmonds Ave 21215 1952 1320 2 4
XXXXXXXXXX 89558 5816 Simmonds Ave 21215 1952 1320 3 4
XXXXXXXXXX 80533 5801 Simmonds Ave 21215 1948 1980 2 3
XXXXXXXXXX 195266 3505 Menlo Dr 21215 1948 1412 3 3
XXXXXXXXXX 165912 5809 Highgate Dr 21215 1922 1407 3 4
XXXXXXXXXX 60075 1630 Malvern St 21224 1954 840 1 2
XXXXXXXXXX 41807 1709 Malvern St 21224 1954 840 1 3
XXXXXXXXXX 55891 1632 Malvern St 21224 1954 840 1 2
XXXXXXXXXX 90950 6514 Brown Ave 21224 1960 1080 1 3
XXXXXXXXXX 69087 6437 Hartwait St 21224 1955 840 1 2
XXXXXXXXXX 84332 6502 Hartwait St 21224 1953 840 1 2
XXXXXXXXXX 46397 6514 Hartwait St 21224 1953 840 1 2
XXXXXXXXXX 78530 1414 Dundalk Ave 21222 1955 1024 2 3
XXXXXXXXXX 48584 1139 Steelton Ave 21224 1942 1080 1 3
XXXXXXXXXX 46504 1511 Elrino St 21224 1953 840 1 2
XXXXXXXXXX 145482 1433 Winston Ave 21239 1945 1254 2 3
XXXXXXXXXX 88213 2520 Te
a Firma Rd 21225 1948 1024 1 3
XXXXXXXXXX 64090 510 Roundview Rd 21225 1949 1024 2 3
XXXXXXXXXX 56310 610 Roundview Rd 21225 1949 1024 1 3
XXXXXXXXXX 87044 645 Cheraton Rd 21225 1926 1024 1 3
XXXXXXXXXX 191579 102 S Poppleton St 21201 1900 1572 4 3
XXXXXXXXXX 186547 944 Fairmount Ave 21204 1956 1216 1.5 3
XXXXXXXXXX 177258 941 Fairmount Ave 21204 1958 1216 1.5 3
XXXXXXXXXX 157420 43 S Poppleton St 21201 1900 1209 2 2
XXXXXXXXXX 114385 1014 W Pratt St 21223 1900 1465 1.5 3
XXXXXXXXXX 189470 131 S Poppleton St 21201 1900 1620 2 3
XXXXXXXXXX 240141 881 W Lombard St 21201 1890 2040 3.5 3
XXXXXXXXXX 234872 841 Hollins St 21201 1920 2240 3 4
XXXXXXXXXX 120914 107 Parkin St 21201 1920 1452 4 5
XXXXXXXXXX 144809 1405 Hollins St 21223 1860 3042 3 4
XXXXXXXXXX 169774 775 W Pratt St 21201 1900 1872 3 2
XXXXXXXXXX 252033 227 Scott St 21230 1900 1440 2 3
XXXXXXXXXX 239615 780 Mchenry St 21230 1900 1472 3 4
XXXXXXXXXX 244900 208 Otte
ein St 21230 1900 1950 2.5 4
XXXXXXXXXX 207238 764 Ramsay St 21230 1900 1464 2.5 3
XXXXXXXXXX 147246 318 Otte
ein St 21230 1900 812 1 2
XXXXXXXXXX 134162 330 S Poppleton St 21230 1875 912 1 2
XXXXXXXXXX 276323 319 S Poppleton St 21230 2005 2000 3 4
XXXXXXXXXX 217595 812 Washington Blvd 21230 1875 1190 1 3
XXXXXXXXXX 387289 3500 Dillon St 21224 1913 2254 3 3
XXXXXXXXXX 245303 6 S Collington Ave 21231 1914 1665 2 2
XXXXXXXXXX 359793 115 S Collington Ave 21231 1900 2151 2 3
XXXXXXXXXX 357163 215 S Collington Ave 21231 1918 2032 2.5 2
XXXXXXXXXX 315602 2117 Bank St 21231 1920 1600 3 2
XXXXXXXXXX 386786 515 S Montford Ave 21224 1915 1302 3 3
XXXXXXXXXX 353691 2515 Boston St APT 407 21224 1987 1255 2 2
XXXXXXXXXX 345075 2515 Boston St APT 506 21224 1987 1307 2 2
XXXXXXXXXX 202929 702 S Rose St 21224 1920 1264 1 1
XXXXXXXXXX 441608 1109 S Kenwood Ave 21224 1987 1632 3.5 4
XXXXXXXXXX 234120 1102 S Curley St 21224 1900 1428 1 2
XXXXXXXXXX 393310 3017 Odonnell St 21224 1920 1384 2.5 3
XXXXXXXXXX 439063 2901 Boston St APT 101 21224 1985 2260 2.5 3
XXXXXXXXXX 728779 2901 Boston St APT 102 21224 1985 2839 3.5 3
XXXXXXXXXX 417945 2901 Boston St APT 105 21224 1910 1772 2.5 3
XXXXXXXXXX 421058 2901 Boston St APT 106 21224 1985 1172 2.5 3
XXXXXXXXXX 273587 2901 Boston St APT 204 21224 1989 1374 2 1
XXXXXXXXXX 623939 2901 Boston St APT 217 21224 1985 2234 2.5 3
XXXXXXXXXX 437525 2901 Boston St APT 221 21224 1985 2122 2.5 3
XXXXXXXXXX 601252 2901 Boston St APT 411 21224 1985 2633 4 4
XXXXXXXXXX 351614 2825 Hudson St 21224 1920 1245 2.5 3
XXXXXXXXXX 204309 915 S Kenwood Ave 21224 1920 1200 1.5 3
XXXXXXXXXX 423108 714 S Potomac St 21224 1900 2550 3 3
XXXXXXXXXX 889700 1609 Alicean St 21231 2005 3549 2.5 3
XXXXXXXXXX 527712 1621 Lancaster St 21231 1837 2284 2.5 4
XXXXXXXXXX 809041 1713 Lancaster St 21231 2005 3000 4 3
XXXXXXXXXX 483172 929 Fell St 21231 1860 2085 3 3
XXXXXXXXXX 447094 29 Yogurt Ln 21231 2008 2118 4 4
XXXXXXXXXX 269313 307 S Chapel St 21231 1900 1529 2 2
XXXXXXXXXX 394900 1623 Lancaster St 21231 1820 2700 3.5 3
XXXXXXXXXX 284237 14 S Collington Ave 21231 1914 1128 3 3
XXXXXXXXXX 251839 12 S Duncan St 21231 2007 1476 2 2
XXXXXXXXXX 194773 20 S Madeira St 21231 1936 840 2 2
XXXXXXXXXX 404679 2103 E Lombard St 21231 1910 2130 3 3
XXXXXXXXXX 378169 2119 E Lombard St 21231 1936 1702 2 3
XXXXXXXXXX 368072 2123 E Lombard St 21231 1910 2195 2.5 4
XXXXXXXXXX 304552 2125 E Lombard St 21231 1910 2250 2 3
XXXXXXXXXX 281140 113 S Chester St 21231 1910 1776 2 3
XXXXXXXXXX 146865 120 S Madeira St 21231 1920 1240 1.5 2
XXXXXXXXXX 478473 216 S Collington Ave 21231 1910 2864 3.5 3
XXXXXXXXXX 398356 201 S Chester St 21231 1910 2044 5 3
XXXXXXXXXX 363869 2220 Gough St 21231 1918 2046 2 3
XXXXXXXXXX 253511 223 S Collington Ave 21231 1918 1958 2 3
XXXXXXXXXX 219495 228 S Madeira St 21231 1911 1150 2.5 2
XXXXXXXXXX 368670 2205 Gough St 21231 1910 2277 4 2
XXXXXXXXXX 240882 2217 Gough St 21231 1910 1488 1 2
XXXXXXXXXX 217831 307 S Madeira St 21231 1910 1080 3 2
XXXXXXXXXX 254993 319 S Madeira St 21231 1910 960 1.5 2
XXXXXXXXXX 229134 316 S Madeira St 21231 1910 792 1.5 1
XXXXXXXXXX 258038 304 S Collington Ave 21231 1920 1034 2.5 2
XXXXXXXXXX 180486 322 S Collington Ave 21231 1920 813 1 1
XXXXXXXXXX 284476 334 S Collington Ave 21231 1920 1728 3.5 3
XXXXXXXXXX 267041 311 S Chester St 21231 1920 1692 1 2
XXXXXXXXXX 184795 302 S Duncan St 21231 1922 968 1 2
XXXXXXXXXX 291692 714 S