Sunday, May 9, 2010

band-of-investment method

(e.g.)
band-of-investment method
Property TypeNet Operating incomeGrowth rateProperty valueLoan-to-value
Hotel$900,0007%$9,000,00070%

return of capital to the lender = 0.02185

Hotel cap rate = market rate of capitalization = $900,000 / $9,000,000 = 10%
Return on funds = Cost of loan = i = 8% (given)
Loan = 20 years

Return of capital to lender = i/((1+i)n-1) = 0.08/((1+0.08)20-1) = 0.02185
Mortgage constant = Return on funds + Return of capital to lender = 0.08 + 0.02185 = 0.10185



RateWeighted
Loan70%0.1018570%*0.10185 = 0.0713
Equity30%0.0957 (*2) 0.10-0.0713 = 0.0287
Total100%
10% (*1)
(*1) Hotel cap rate

(*2) Equity dividend rate (required cash-on-cash return) = 0.0287 / 30% = 0.0957

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