A property that produces a first year NOI of $80,000 is purchased for $750,000. The NOI is expected stay constant through year 5, and to increase by 15% in the sixth year when some of the leases turn over. The NOI would then stay constant in years 6-10. The resale price in year 10 is expected to be $830,000. What is the net present value of investing in this property based on the 10-year holding period and a required return of 9.5%

$115998

Explanation:

Based on the information given, we can calculate the NOI from the 6th year which will be:

= $80,000 × (100% + 15%)

= $80,000 × 115%

= $80,000 × 1.15

= $92,000

Therefore, the net present value of the property based on the 10-year holding period and a discount rate of 9.5% will be:

= 80000(PVAF, 5 year) + 92000[PVAF,(10-5),9.5%] + 830000/(1.095)10-750000

= (80000 × 3.839) + (92000 × 2.439) + (830000 × 0.403) - 750000

= 307120 + 224388 + 334490 - 750000

= 865998 - 750000

= $115998

Therefore, the net present value is $115998

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