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kupik [55]
2 years ago
8

John House has taken a 20-year, $250,000 mortgage on his house at an interest rate of 6 percent per year. What is the remaining

balance (or value) of the mortgage after the payment of the fifth annual installment?
Business
1 answer:
dangina [55]2 years ago
6 0

Answer:

$211,689. 53

Explanation:

Calculation to determine the remaining balance (or value) of the mortgage after the payment of the fifth annual installment

Step 1 is to compute PMT using Financial calculator

I = 6%

N = 20

PV = 250,000

FV = 0

PMT=?

Hence,

PMT = 21,796.14.

Now let determine the PV using Financial calculator

I = 6%

N = 15

PMT = 21,796.14

PV=?

Hence,

PV = $211,689. 53

Therefore the remaining balance (or value) of the mortgage after the payment of the fifth annual installment is $211,689. 53

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Managers often use a(n) utilitarian approach when making organizational decisions - using financial performance such as profit as the best definition of what constitutes an ethical choice for the company.

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Answer:

USING 0% DISCOUNT RATE

PROJECT E

Year Cashflow [email protected]%     PV

             $                  $

0            (23,000) 1  (23,000)

1             5,000         1         5,000

2                  6000           1              6,000

3      7000          1              7,000

4                 10,000           1              10,000

                                               NPV  5,000

                   PROJECT H

Year Cashflow [email protected]%     PV

             $                  $

0            (25,000) 1  (23,000)

1             16,000 1         16,000

2                  5,000          1              5,000

3      4,000          1              4,000

                                               NPV  2,000

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USING 9% DISCOUNT RATE

Year Cashflow [email protected]%           PV

             $                      $

0            (23,000) 1        (23,000)

1             5,000         0.9174         4,587

2                  6000           0.8462            5,077

3      7000          0.7722             5,405

4                 10,000           0.7084            7,084

                                                       NPV   (847)

PROJECT H

Year Cashflow [email protected]%            PV

             $                        $

0            (25,000) 1         (23,000)

1             16,000 0.9714         15,542

2                  5,000          0.8462            4,231

3      4,000          0.7722            3,089

                                                     NPV    (138)

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Explanation:

The question requires the computation of NPV using 0% and 9%.

The cashflows of the two projects will be discounted at 0% and 9%.

The discount factors for each project can be calculated using the formula (1+r)-n. The cashflows of the projects will be multiplied by the discount factors to obtain the present values. NPV is the difference between present values of cash inflows and initial outlay.

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