Monthly gross income $ 4,700 Down payment to be made (percent of purchase price) 20% Other debt (monthly payment) $ 260 Monthly estimate for property taxes and insurance $ 490 30-year loan

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Estimate the affordable monthly mortgage payment, the affordable mortgage amount, and the affordable home purchase price for the following situation. (Refer to  the images)

Note: Round time value factor to 2 decimal places, intermediate and final answers to the nearest whole number.

  Mortgage 
Monthly gross income $ 4,700  
Down payment to be made (percent of purchase price) 20%  
Other debt (monthly payment) $ 260  
Monthly estimate for property taxes and insurance $ 490  
30-year loan 8.0%  
 
1.) What is the affordable monthly mortgage payment?
2.) What is the affordable mortgage amount?
3.) What is the affordable house purchase price?
Step 1: Determine your monthly gross income (annual income divided
by 12).
Step 2: With a down payment of at least 5 percent, lenders use 33
percent of monthly gross income as a guideline for PITI (principal,
interest, taxes, and insurance) and 38 percent of monthly gross
income as a guideline for PITI plus other debt payments.
Step 3: Subtract other debt payments (e.g., payments on an auto
loan) and an estimate of the monthly costs of property taxes and
homeowner's insurance.
(a) Affordable monthly mortgage payment
Step 4: Divide this amount by the monthly mortgage payment per
$1,000 based on current mortgage rates-an 8 percent, 30-year loan,
for example (see Exhibit 9-9)—and multiply by $1,000.
(b) Affordable mortgage amount
Step 5: Divide your affordable mortgage amount by 1 minus the
fractional portion of your down payment (e.g., 1.1 with a 10
percent down payment).
(c) Affordable home purchase price
Example A Example B
$48,000
$48,000
+ 12
+ 12
$4,000 ×
.38 =
$1,520
-380
-300
$840
$4,000 x
.33 =
$1,320
+ .9
-300
$1,020
÷ $7.34
+ $7.34
× $1,000 × $1,000
$114,441 $138,965
+ .9
$127,157 $154,405
Transcribed Image Text:Step 1: Determine your monthly gross income (annual income divided by 12). Step 2: With a down payment of at least 5 percent, lenders use 33 percent of monthly gross income as a guideline for PITI (principal, interest, taxes, and insurance) and 38 percent of monthly gross income as a guideline for PITI plus other debt payments. Step 3: Subtract other debt payments (e.g., payments on an auto loan) and an estimate of the monthly costs of property taxes and homeowner's insurance. (a) Affordable monthly mortgage payment Step 4: Divide this amount by the monthly mortgage payment per $1,000 based on current mortgage rates-an 8 percent, 30-year loan, for example (see Exhibit 9-9)—and multiply by $1,000. (b) Affordable mortgage amount Step 5: Divide your affordable mortgage amount by 1 minus the fractional portion of your down payment (e.g., 1.1 with a 10 percent down payment). (c) Affordable home purchase price Example A Example B $48,000 $48,000 + 12 + 12 $4,000 × .38 = $1,520 -380 -300 $840 $4,000 x .33 = $1,320 + .9 -300 $1,020 ÷ $7.34 + $7.34 × $1,000 × $1,000 $114,441 $138,965 + .9 $127,157 $154,405
Term Rate
3.0%
3.5
4.0
4.5
5.0
5.5
6.0
6.5
7.0
7.5
8.0
30 years
$4.22
4.49
4.77
5.07
5.37
5.68
6.00
6.32
6.65
6.99
7.34
25 years
$4.74
5.01
5.28
5.56
5.85
6.14
6.44
6.75
7.07
7.39
7.72
20 years
$5.55
5.80
6.06
6.33
6.60
6.88
7.16
7.46
7.75
8.06
8.36
15 years
$6.91
7.15
7.40
7.65
7.91
8.17
8.44
8.71
8.99
9.27
9.56
Transcribed Image Text:Term Rate 3.0% 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 30 years $4.22 4.49 4.77 5.07 5.37 5.68 6.00 6.32 6.65 6.99 7.34 25 years $4.74 5.01 5.28 5.56 5.85 6.14 6.44 6.75 7.07 7.39 7.72 20 years $5.55 5.80 6.06 6.33 6.60 6.88 7.16 7.46 7.75 8.06 8.36 15 years $6.91 7.15 7.40 7.65 7.91 8.17 8.44 8.71 8.99 9.27 9.56
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