5.2/15 Real Estate Indices and Unsmoothing Techniques Flashcards
LO 15.1: Demonstrate knowledge of real estate indices and unsmoothing.
For example: • Identify the uses of real estate price indices. • Define unsmoothing and explain the rationale for the process
SMOOTHED SERIES
Result of using reported prices or returns that have a lag relative to actual prices or returns. Appraisal method produces this effect because older prices are used to value properties.
UNSMOOTHING
Process of removing the effects of smoothing from a data series.
LO 15.2: Demonstrate knowledge of the concept of smoothed pricing.
For example:
- Discuss the effect of price smoothing on arbitrage in a perfect market.
- Identify factors that contribute to persistence in price smoothing.
- Recognize problems that can result from price smoothing
• Discuss the effect of price smoothing on arbitrage in a perfect market
When prices are delayed (i.e., price smoothing occurs), arbitrage opportunities exist. In a perfect market with zero transaction costs and no trading restrictions, arbitragers will purchase assets after a general rise in prices and short sell assets after prices fall.
Because real estate is not publicly traded, there is generally no opportunity to arbitrage the smoothed prices and, thus, in real estate markets, smoothing may be more pronounced and potentially permanent.
• Identify factors that contribute to persistence in price smoothing.
• Recognize problems that can result from price smoothing.
- Smoothing = Lower std dev. also lower estimate correlation coefficients, and lower betas. Creates Upward biased SHARPE Ratios.
- Portfolio Optimization models will generate excessive allocation to smoothed asset clases
- Artificially low correlation may lead to incorrect hedge ratios, difficult for risk management.
- Creates Serial correlation or / autocorrelation in the index return series.
2 Main Reasons previnting arbitrage profit
- Prices do not actually represent trading opportunities. Appraisals are estimates and do not represent actual transaction prices.
- Even if prices represent true buy and sell values, transaction costs may be prohibitive and prevent arbitrage activities. In real estate deals, transaction costs are generally high and the time it takes to trade is often long, making the likelihood of arbitrage small.
- Markets in different time zones generally exhibit lagged pricing behavior (after one major market has a significant decline in prices, the next market to open will show a large decline as well). This allows for an arbitrage opportunity in open-end international equity mutual funds—which trade at NAV (based on last close—and hence stale data). However, to discourage short-term trading (and therefore profiting from arbitrage activities), many funds have erected barriers, such as early redemption fees.
Serial Correlation / Autocorrelation
A return series with serial correlation will have lower volatility and lower correlation with other asset classes, which results in biased riskadjusted perforance measures.
LO 15.3: Demonstrate knowledge of models of price and return smoothing
For example:
- Explain how and why current reported prices are modeled as a function of past true prices.
- Explain how and why current reported returns are modeled as a function of past true but unobservable returns.
- Explain how estimated values of true prices can be determined from reported prices using an estimation of the parameter for first order autocorrelation.
- List and discuss four explanations for smoothed prices and delayed price changes in a price inde
• Explain how and why current reported prices are modeled as a function of past true prices.
• Explain how and why current reported returns are modeled as a function of past true but unobservable returns.
• Explain how estimated values of true prices can be determined from reported prices using an estimation of the parameter for first order autocorrelation.
• List and discuss four explanations for smoothed prices and delayed price changes in a price index.
Formula for most recent true but unobservable price, as a function of current and lagged observable smoothed values
Pt,true = Pt-1,reported + [(1/decay) x (Pt,reported - Pt-1,reported)]
For measuring the true price change, it is just:
[(1/decay) x (Pt,reported - Pt-1,reported)]
First Order Autocorrelation Formula jpg
First order Autocrrelation: Change in Price formula and Returns formula approximations
First-Order Autocorrelation (in return or price series)
Autocorrelation refers to the correlation of a time series with its own past and future values.
4 Primary causes of smoothed prices and delayed price changes (i.e. for first-order autocorrelation):
- Olrd or stale prices used for index components that have not traded recently
- professional appraiser may observe prices on delayed basis and generate smoothed returns - due to Anchoring (give higher weight to previous observations).
- When different properties rise quickly, maybe bias to trade only lower price properties, and artificially lower the pricing of properties that have increased in value faster than the low priced properties.
- In RE, there is delay between setting the price and reporting the transaction.
LO 15.4: Demonstrate knowledge of the process of unsmoothing a price or return series
For example:
- • Explain the process of unsmoothing a return series using first-order autocorrelation.
- • Describe the three steps of the unsmoothing process.
- • Describe the process of unsmoothing a return index based on a model of smoothed price changes rather than returns.
- • Explain the process for unsmoothing returns with higher-order autocorrelation.
Formula for True Return based on Reported/Smoothed returns (approximation)
EXAM FOCUS! (most important formula from this topic)