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A couple borrows $200,000 for a mortgage that requires fixed monthly payments over 30 consecutive years. The first monthly payment is due in one month. If the interest rate on the mortgage is 5%, which of the following comes closest to the monthly payment?
When would the calculation of the effective annual interest rate be most useful?
a. When comparing two investments with different annuity amounts
b. When comparing two investments with different par values
c. When comparing two investments that end at different points in time
d. When comparing two investments that compound differently within a year
e. When comparing two investments that have different inherent risk

Respuesta :

funmilaciousfunmie78

Answer:

(a) The monthly payment is $ 1,073.64

(b) The correct option is option D. When comparing two investments that compound differently within a year.

Explanation:

Monthly payment = $1,073.64

Using financial calculator BA II Plus - Input details:

                                                          $

I/Y = Rate = 5/12 =                           0.416667

FV = Future value =                             $0

N = Total payment term                 25*12 =  360

PV = Present value of loan             -$200,000

CPT > PMT = Monthly Payment       $1,073.64

anthougo

1. The monthly payment by the couple is $1,073.64.

2. The calculation of the effective annual interest rate would be most useful d. When comparing two investments that compound differently within a year.

Data and Calculations:

The monthly payment is determined as follows:

(# of periods)   = 360 months (30 x 12)

I/Y (Interest per year) = 5%

PV (Present Value) = $200,000

FV (Future Value) = $0

Results:

Monthly Payment = $1,073.64

Sum of all periodic payments = $386,511.57

Total Interest = $186,511.57

Thus, the couple would pay $1,073.64 monthly for 30 years in order to pay off the mortgage of $200,000 at 5% interest.

Learn more about the monthly payment for mortgage here: https://brainly.com/question/25696498

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