The annual income from an apartment complex is $21439. The annual expense is estimated to be $3181. The apartment complex could be sold for $129301 at the end of 10 years. If your MARR is 10%, how much should you pay for the apartment complex if you were to buy it now?
ANSWER:
Annual income = $21,439
Annual expense = $3,181
Annual benefit = Annual income - Annual expense = $21,439 - $3,181 = $18,258
Salvage value = $129,301
n = 10 years
i = 10%
Present value = Annual benefit(p/a,i,n) + salvage value(p/f,i,n)
Present value = 18,258(p/a,10%,10) + 129,301(p/f,10%,10)
Present value = 18,258 * 6.145 + 129,301 * 0.3855
Present value = 112,195.41 + 49,845.535
Present value = 162,040.95
So, right now he should pay $162,040.95 for the house.
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