Michael Sanchez purchased a condominium for $62,000. He made a 20% down payment and financed the balance with a 30 year, 5% fixed-rate mortgage. (Round your answers to the nearest cent. Use this table, if necessary.) (a) What is the amount (in $) of the monthly principal and interest portion, PI, of Michael's loan? $  (b) Construct an amortization schedule for the first four months of Michael's mortgage.

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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Michael Sanchez purchased a condominium for $62,000. He made a 20% down payment and financed the balance with a 30 year, 5% fixed-rate mortgage. (Round your answers to the nearest cent. Use this table, if necessary.)
(a)
What is the amount (in $) of the monthly principal and interest portion, PI, of Michael's loan?
(b)
Construct an amortization schedule for the first four months of Michael's mortgage.
Payment
Number
Monthly
Payment
(in $)
Monthly
Interest
(in $)
Portion Used
to Reduce
Principal
(in $)
Loan
Balance
(in $)
0      
1
2
3
4
(c)
If the annual property taxes are $1,670 and the hazard insurance premium is $700 per year, what is the total monthly PITI of Michael's loan (in $)?

Table 14-1: Monthly Payments to Amortize Principal and Interest per $1,000 Financed

Monthly Payments
(Necessary to amortize a loan of $1,000)
Interest
Rate (%)
5
Years
10
Years
15
Years
20
Years
25
Years
30
Years
35
Years
40
Years
3.50 18.19 9.89 7.15 5.80 5.01 4.49 4.13 3.87
3.75 18.30 10.01 7.27 5.93 5.14 4.63 4.28 4.03
4.00 18.42 10.12 7.40 6.06 5.28 4.77 4.43 4.18
4.25 18.53 10.24 7.52 6.19 5.42 4.92 4.58 4.34
4.50 18.64 10.36 7.65 6.33 5.56 5.07 4.73 4.50
4.75 18.76 10.48 7.78 6.46 5.70 5.22 4.89 4.66
5.00 18.87 10.61 7.91 6.60 5.85 5.37 5.05 4.82
5.25 18.99 10.73 8.04 6.74 5.99 5.52 5.21 4.99
5.50 19.10 10.85 8.17 6.88 6.14 5.68 5.37 5.16
5.75 19.22 10.98 8.30 7.02 6.29 5.84 5.54 5.33
6.00 19.33 11.10 8.44 7.16 6.44 6.00 5.70 5.50
6.25 19.45 11.23 8.57 7.31 6.60 6.16 5.87 5.68
6.50 19.57 11.35 8.71 7.46 6.75 6.32 6.04 5.85
6.75 19.68 11.48 8.85 7.6 6.91 6.49 6.21 6.03
7.00 19.80 11.61 8.99 7.75 7.07 6.65 6.39 6.21
7.25 19.92 11.74 9.13 7.90 7.23 6.82 6.56 6.40
7.50 20.04 11.87 9.27 8.06 7.39 6.99 6.74 6.58
7.75 20.16 12.00 9.41 8.21 7.55 7.16 6.92 6.77
8.00 20.28 12.13 9.56 8.36 7.72 7.34 7.10 6.95
8.25 20.40 12.27 9.70 8.52 7.88 7.51 7.28 7.14
8.50 20.52 12.40 9.85 8.68 8.05 7.69 7.47 7.33
8.75 20.64 12.53 9.99 8.84 8.22 7.87 7.65 7.52
9.00 20.76 12.67 10.14 9.00 8.39 8.05 7.84 7.71
9.25 20.88 12.80 10.29 9.16 8.56 8.23 8.03 7.91
9.50 21.00 12.94 10.44 9.32 8.74 8.41 8.22 8.10
9.75 21.12 13.08 10.59 9.49 8.91 8.59 8.41 8.30
10.00 21.25 13.22 10.75 9.65 9.09 8.78 8.60 8.49
10.25 21.37 13.35 10.90 9.82 9.26 8.96 8.79 8.69
10.50 21.49 13.49 11.05 9.98 9.44 9.15 8.98 8.89
10.75 21.62 13.63 11.21 10.15 9.62 9.33 9.18 9.08
11.00 21.74 13.78 11.37 10.32 9.80 9.52 9.37 9.28
11.25 21.87 13.92 11.52 10.49 9.98 9.71 9.56 9.48
11.50 21.99 14.06 11.68 10.66 10.16 9.90 9.76 9.68
11.75 22.12 14.20 11.84 10.84 10.35 10.09 9.96 9.88
12.00 22.24 14.35 12.00 11.01 10.53 10.29 10.16 10.08
12.25 22.37 14.49 12.16 11.19 10.72 10.48 10.35 10.29
12.50 22.50 14.64 12.33 11.36 10.9 10.67 10.55 10.49
12.75 22.63 14.78 12.49 11.54 11.09 10.87 10.75 10.69
13.00 22.75 14.93 12.65 11.72 11.28 11.06 10.95 10.90
 
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