Question

You can buy property today for $2.9 million and sell it in 5 years for $3.9 million. (You earn no rental income on the property.) a. If the interest rate is 8%, what is the present value of the sales price? (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places.) b. Is the property investment attractive to you? c-1. What is the present value of the future cash flows, if you also could earn $190,000 per year rent on the property? The rent is paid at the end of each year. (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places.) c-2. Is the property investment attractive to you now?

Answer 1

Answer:

a)  $2, 654,000 or approximately $2.654 million

b) The investment is not attractive because the present value of the future cash flow at $2.654 million is less than the investment of $2.9 million

c) $3.413 million approximately

d) This property is attractive as the present value of $3.413 is higher than the investment of $2.9 million

Explanation:

The A part of the questions is to determine the present value of property

Information given

Future value = $3.9 million

Interest rate = 8%

The period = 5 years

The present value formula = Future value / (1+r)∧n

= $3,900,000 / 1.08∧5

= 2,654,274.46843163

= $2, 654,000 or approximately $2.654 million

b) Is the property attractive...

The investment is not attractive because the present value of the future cash flow at $2.654 million is less than the investment of $2.9 million

c) Compute a new present value based on cash flow of $190,000

The present value

= 190,000/ 1.08∧1 + 190,000/ 1.08∧3 + 190,000/ 1.08∧3 + 190,000/ 1.08∧4 +190,000/ 1.08∧5 + 3,900,000/ 1.08∧5

= 175,929.93 + 162,894.38 +   150,828.13 + 139,655.67 +  129,310.81 + 2,654,274.47= 3,412,889.38

= $3.413 million approximately

d) This property is attractive as the present value of $3.413 is higher than the investment of $2.9 million