Real Estate

ASSUME YOU ARE OWN LAND AND ARE CONSIDERING DEVELOPING IT FOR COMMERCIAL USE. THE BUILDING IN QUESTION HAS:
UNDERLYING ASSET VOLATILITY 15%
ASSET CURRENT YIELD 6%
RISK-FREE RATE 2%
BUILT PROPERTY MARKET VALUE $1.3 MILLION
CONSTRUCTION COST $1 MILLION
SHOULD YOU EXERCISE YOUR OPTION TO DEVELOP THE LAND? NOW ASSUME THE BUILDING VALUE IS EQUAL TO THE CONSTRUCTION COST. WHAT IS THE VALUE OF THE LAND? EXPLAIN WHY IT IS NOT ZERO.NOW ASSUME THAT YOU BUILD THE BUILDING GIVEN THE ABOVE DATA. ALSO ASSUME:
MORTGAGE 30 YEARS AMORTIZED FIXED RATE AT 5.5%
LTV 80%
EXPECTED GROWTH IN NOI 1%
BUILDING WILL BE OWNED FOR AND SOLD IN 7 YEARS
CAP RATE AT SALE TIME IS 7%
ORDINARTY TAX RATE 35%
RECAPTURE RATE 25%
CAPITAL GAINS RATE 15%
BUILDING AS A % OF PROPERTY VALUE 80%
WHAT IS THE AFTER-TAX % RETURN ON YOUR EQUITY INVESTMENT?\\
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