Question

Suppose that an income producing property is expected to yield cash flows for the owner of $150,000 in each of the next five years, with cash flows being received at the end of each period. If the opportunity cost of investment is 8% annually and the property can be sold for $1,250,000 at the end of the fifth year, determine the value of the property today. A. $304,704.00

Answer 1

Answer:

$1,449,635.50  

Explanation:

The computation of the value of the property today is shown below:

First the present value for 5 years is

Year Cash flows    Discount factor      Present value

1 $150,000  0.925925926 $138,888.89  

2 $150,000  0.85733882         $128,600.82  

3 $150,000  0.793832241         $119,074.84  

4 $150,000  0.735029853         $110,254.48  

5 $150,000  0.680583197          $102,087.48  

Total present value            $598,906.51  

The discount factor is

= 1 ÷ (1 + rate)^years  

And, the formula of future value is

Future value = Present value × (1 + rate)^number of years

$1,250,000 = Present value × (1 + 0.08)^5

$1,250,000 = Present value × 1.469328077

So, the present value is $850,729

Now the today value of the property is

= $598,906.51 + $850,729

= $1,449,635.50