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.
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.
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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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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