You have the opportunity to purchase an office building for $600,000 with an expected life of 20 years. Looking over the financial details, you see that the before-tax net rental income is $90,000. If you want a return of at least 15%, how much should you pay for the building?
Using present value of annuity formula , we can find out the amount that you should pay for the building. | ||||||||||
Present value of annuity = P x {[1 - (1+r)^-n]/r} | ||||||||||
Present value of annuity = the amount that you should pay for the building = ? | ||||||||||
P = Annual net rental income = $90000 | ||||||||||
r = rate of return per year = 15% | ||||||||||
n = expected life of building = 20 years | ||||||||||
Present value of annuity = 90000 x {[1 - (1+0.15)^-20]/0.15} | ||||||||||
Present value of annuity = 90000 x 6.259331 | ||||||||||
Present value of annuity = 563339.83 | ||||||||||
You should pay $5,63,340 for the building. | ||||||||||
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