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1 vote
Mortgage payments

Principal: $120,000.00
Interest Monthly
Rate Payment
3%
4%
5%
A. $120,000
C. $6,000
$506
$573
$644
How much money will
be spent in interest
alone over the course of
the 5% 30-year
mortgage described in
the table?
B. $111,840
D. $231,840

User Wotanii
by
8.2k points

2 Answers

5 votes

Answer:

231840

Explanation:

User Pisidia
by
7.8k points
4 votes

Answer:

D. $231,840

Explanation:

Total Interest = (Monthly Payment * Total Number of Payments) - Principal

Let's start by calculating the mortgage payment for the 5% interest rate. Using the following calculation to determine monthly payments:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5% / 12 = 0.05 / 12 ≈ 0.00417

Total Number of Payments = 30 years * 12 months/year = 360 months

Monthly Payment = Principal * (Monthly Interest Rate / (1 - (1 + Monthly Interest Rate)^(-Total Number of Payments)))

Monthly Payment = $120,000 * (0.00417 / (1 - (1 + 0.00417)^(-360)))

Monthly Payment ≈ $644.30

now let's calculate the total interest spent:

Total Interest = ($644.30 * 360) - $120,000

Total Interest ≈ $231,948

so after rounding, the answer is D, $231,840 (rounded to the nearest thousand btw)

User Dijana
by
8.2k points