You can buy property today for $2.3 million and sell it in 6 years for $3.3 million. (You earn no rental income on the property.) If the interest rate is 9%, what is the present value of the sales price? Formula PV = C / (1 + r)n PV = 3.3 / (1 + 9%)6 PV = 3.3 / (1.09)6 PV = 1,967,682.18 Is the property investment attractive to you? I am paying 2.3 million for the property and it is currently worth 1.9 million. I don’t care for paying more for what it is currently worth today.  However, if I kept the land for 6 years, I could sell it for 3.3 million.  That would be a net profit of 1 million.  Yes, it is attractive to me. What is the present value of the future cash flows, if you also could earn $130,000 per year rent on the property? The rent is paid at the end of each year. Formula: FVn = C x (1 + r)n FVn = 130k x (1.09)6 FVn = 218,023.01 + 780,000 (130 x 6 years) FVn = 998,023.01 additional 998,023.01 + 3,300,000 = 4,298,023.01 Is the property investment attractive to you now?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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. You can buy property today for $2.3 million and sell it in 6 years for $3.3 million. (You earn no rental income on the property.)

  1. If the interest rate is 9%, what is the present value of the sales price?
  • Formula
  • PV = C / (1 + r)n
  • PV = 3.3 / (1 + 9%)6
  • PV = 3.3 / (1.09)6
  • PV = 1,967,682.18
  1. Is the property investment attractive to you?
  • I am paying 2.3 million for the property and it is currently worth 1.9 million. I don’t care for paying more for what it is currently worth today.  However, if I kept the land for 6 years, I could sell it for 3.3 million.  That would be a net profit of 1 million.  Yes, it is attractive to me.
  1. What is the present value of the future cash flows, if you also could earn $130,000 per year rent on the property? The rent is paid at the end of each year.
  • Formula:
  • FVn = C x (1 + r)n
  • FVn = 130k x (1.09)6
  • FVn = 218,023.01 + 780,000 (130 x 6 years)
  • FVn = 998,023.01 additional
  • 998,023.01 + 3,300,000 = 4,298,023.01
  1. Is the property investment attractive to you now?
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