At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of the loan if the interest rate is 8 percent?

Sagot :

Considering the situation described above, what would be the present value of this loan is $1,000.

This is explained below:

Given that the loan interest rate is $85 85/1000 = 8.5

Then the market interest rate is => 8.5 percent

Therefore, given that there is no difference between the market rate and the loan rate, then the loan is expected to be sold at $1,000 which is the face value of the loan.

To prove it, we have the following:

PV of the annuity of $85 during 8 years at an 8.5% market rate

C => 85

Time => 8

Rate => 0.085

C × { [1 - ( 1+ r ) ] ^-time } ÷ rate = PV

85 × [1 - (1 + 0.085)^-8] ÷ 0.085 = PV

PV =. $479.3306

Present value of the maturity date:

Maturity 1000

Time => 8

Rate => 0.085

Maturity ÷ (1+rate)^rate = PV

1000 ÷ (1+0.085)^8 = PV

PV => $520.6694

Therefore, the Total present value

=> PV c $479.3306 + PV m $520.6694

=> Total $1,000.

Hence, in this case, it is concluded that the correct answer is $1,000.

Learn more here: https://brainly.com/question/22968675