Problem Books

Real Estate

Real-Estate Valuation

Cap rates, net operating income, and leverage — how property is priced.

Net operating income is (excluding financing). The capitalization rate links value and income: , so .


  1. 1. Value from NOI

    easy

    An office building generates gross rental income of \500{,}000$200{,}0006%$ cap rate. Estimate the building's value.

    Show solution

    NOI = 500{,}000 - 200{,}000 = \300{,}000$.

    \text{Value} = \dfrac{NOI}{\text{Cap rate}} = \dfrac{300{,}000}{0.06} = \5{,}000{,}000$.

  2. 2. Implied cap rate

    medium

    An investor pays \4{,}000{,}000NOI$260{,}0006%$?

    Show solution

    .

    The purchase cap rate () is above the market rate (), meaning the investor paid less than the market would imply for that income — a higher cap rate means a lower price per dollar of .

  3. 3. Leverage and cash-on-cash

    hard

    A property costs \5{,}000{,}000NOI = $300{,}00070%$3{,}500{,}0005%$1{,}500{,}000$. Compute the unlevered yield and the cash-on-cash return on equity.

    Show solution

    Unlevered yield .

    Annual interest = 0.05 \times 3{,}500{,}000 = \175{,}000= 300{,}000 - 175{,}000 = $125{,}000$.

    Cash-on-cash .

    Because the asset yield exceeds the borrowing cost, leverage lifts the equity return from to — positive leverage.


Go deeper