We consider the issues associated with modeling the decision to invest in an illiquid asset, such as real estate, over an extended period of time. Markets for illiquid assets tend to display certain characteristics: for example, significant time-till-sale and correlation in the rates of return over time. More importantly, as the liquidity of a market cannot be an issue if an investor never needs to liquidate an asset, we focus on how the liquidity of a market interacts with an individual's uncertain need to liquidate. We show that the optimal strategy is state contingent, if possible. We also show that the penalty associated with an illiquid investment depends on the characteristics of other assets being held in the portfolio, on the characteristics of liquidity shocks and on the interaction between time and behavior. We show that borrowing to pay for a liquidity shock cannot overcome all of the costs of owning an illiquid asset. In contrast, borrowing at t = 0 benefits from the complementarity in the assets. In a simpler model, we show that the portfolio perspective makes illiquid assets more valuable to an investor with a longer time horizon.
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