Question

You Just won a prize that will pay you $800 today and $500 a year for the next three years. Which is the correct formula for computing the present value as of today at 6 percent?

PV = $500/1.06 + $500/1.062+ $500/1.063
PV = $800 PV $800/1.06$500/1.06+$500/1.06 $500/1.06
PV =$800+ $500/1.06 $500/1.06+ $500/1.061
PV = $800(1.06)+ $500 +$500/1.06 $500/1.06

Answer 1

The correct answer is PV = $800 + $500/1.06 + $500/1.062 + $500/1.06^3

Step-by-step explanation:

Solution

Given that:

A price was wan by you today at =$800

For the next three years =$500 a year

Now

We compute for the present value of today at 6%

Thus

Present value (PV) = $800 + $500/1.06 + $500/1.062 + $500/1.063

Because $800 is receivable today, its present value is equal to $800,

So,

500 receivable after a year will be divided by 1.06

PV = $800 + $500/1.06 + $500/1.062 + $500/1.06^3

Therefore the right formula for computing the present value as of today at 6 percent is PV = $800 + $500/1.06 + $500/1.062 + $500/1.06^3