A friend wants to borrow money from you. He states that he will pay you $4,700 every 6 months for 9 years with the first payment exactly 2 years and six months from today. The interest rate is an APR of 5.8 percent with semiannual compounding. What is the value of the payments today

PV= $56,508.47

Explanation:

Giving the following information:

Semmiannual payment= $4,700

Number of periods (n)= 9*2= 18 semesters

Interest rate= 0.058/2= 0.029

First, we need to calculate the value of the payments at the moment of the first payment:

PV= A*{(1/i) - 1/[i*(1 + i)^n]}

A= Semmiannual payment

PV= 4,700*{(1/0.029) - 1/[0.029*(1.029^18)]}

PV= $65,191.42

Now, the present value using the following formula:

PV= FV / (1 +i)^n

n= 2.5*2= 5 semesters

PV= 65,191.42 / (1.029^5)

PV= $56,508.47

1) the stages a new product goes through from beginning to end, i.e., the stages that a product passes through from introduction through growth, maturity, and decline. 2) the time from initial research and development to the time at which sales and support of the product to customers are withdrawn. 3) the period of time during which a product can be produced and marketed profitably.

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