Category: owner equivalent rent

Home Sweet Housing Service Flow

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April 21, 2024

by Stephen Stofka

This week’s letter is about the cash flows we receive from a house and whether we can use those cash flows to help us determine an appropriate price range for a house. While we might not think of a house as a business, the owner is a landlord. Like any business, a house has similar metrics: an initial investment, loans, cash flows, continuing expenses and investment, “sweat equity,” capitalization and profits.

A house offers similar features to a coupon bond with one important difference – the mortgage. When we buy a coupon bond, we pay for the bond outright. The bond pays a series of payments called coupons over the life of the bond, then pays back the principal amount at the end of the bond’s term. What is the coupon we receive from a house? The housing service which is valued at what we could expect to rent the house for. Each year we discount that coupon by the opportunity cost of what that money could earn. As a benchmark rate, I will use the 40-year average rate of 5.5% that a 30-year Treasury bond (FRED Series DGS30) has paid.

As I noted last week, average owner equivalent rent has grown 3.7% each year for the past thirty years. Urban areas drive the growth of housing rents, and the highest growth occurs in the most competitive cities that offer employment and urban amenities. For several decades the city average of owner equivalent rents has been 8 – 15% higher than the median household income in the country as a whole (FRED graph). Incomes are much lower in rural areas and so are the rents and the taxes. Some rural areas offer a picturesque natural setting and recreational opportunities, but the lackluster job market does not attract young families.

Consider a house that might rent for $2000 a month, or $24000 a year. In thirty years, that annual rent will be $68,833, the result of a 3.7% increase in housing rents each year. Using the 30-year Treasury yield of 5.5%, today’s net present value of those rising cash flows from the house is $537,673. I will leave the calculation in the notes along with the address of an online calculator so you can do this yourself. These are long-term averages that can vary by decade. In 2014 the fair market rent for a 2-BR apartment in the Denver metro area rose 20%, according to HUD. Rental prices can respond quickly and dramatically to population migration and underinvestment in multi-family housing.

An investment in a house is partially funded with a mortgage whose principal and interest payments remain stable for the term of the mortgage. Although interest rates are above recent averages, they are about half of what a borrower might pay on a car loan or a margin loan from a broker. Interest on car loans can vary from 6% to 25%, according to Bankrate.com. Vanguard would charge 11% to 14% on a margin loan to buy stock. These are shorter term loans yet charge higher interest rates. Implicit guarantees of mortgages by the federal government give a homeowner the same interest rate on long-term debt as Apple, the second most valuable company in the world. In 2014, Apple paid a rate of 4.45% on its 30-year bonds. The average 30-year mortgage rate (MORTGAGE30US) at that time was 4.36%.

While government support introduces distortions to the housing market, residential investment and strong population growth do not fit a free-market model because land in a dense urban area is not a commodity like farm or ranch lands. Before the Federal Housing Administration was created in 1934, creditors often required a down payment of up to 40% even from those with good income and credit, according to a history published by the Richmond Fed. In the late 19th century, twelve percent of mortgages were underwritten by building and loan associations of the mortgage holders themselves. During stressful economic times, these associations would go bankrupt, leaving homeowners with deficient claims to their property. In all developed countries today, national government policies support home ownership.

Let us say a homeowner buys a home for almost $600,000 as in the example above. After thirty years, the owner will have received the net present value of the purchase price and will have a home that will be worth $2 million (calculation in the notes). However, this does not represent a windfall for the owner. A replacement home will also contain its cash flows for the past thirty years so that similar homes in that area will sell at a similar price. What the owner discovers is that their home’s value is priced like a share in a community resource. They can capture the capital gain in their home while they are alive by buying a home in a different community with a lower-priced resource pool, a strategy often employed by retired folks.

So, future cash flows are capitalized into the price of a house. The homeowner’s profit comes from any spread between the growth in house prices and the growth in market rentals over three decades of ownership. For some people, the true profit is the piece of mind that comes from ownership in a house that is mortgage free. Economic factors and changing tastes can slow the growth of home prices in an area. Crime may have increased; the quality of schools may have declined. Homeowners in these areas can feel trapped because they can not leverage the smaller equity in their home to buy a home in a more expensive area.

While the principal and interest on a mortgage remain stable during the term of the mortgage, taxes, repairs and insurance do not. Next week I will look at property taxes, the annual dues we pay to the county where our property is located.

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Photo by Kara Eads on Unsplash

This online calculator allows you to specify the number of cash flows but you need to input each cash flow.

Excel requires less work so you can calculate 30 years of cash flows based on a 3.7% increase in housing rents and an opportunity cost of 5.5% each year. Microsoft has an example of using NPV. In case you do not use Excel often for this kind of work, here are some instructions. In an empty spreadsheet:
In cell A1 enter 1.037. That is the annual growth of housing rents at 3.7%.
In cell B1, enter .055, the interest rate you could earn investing the purchase price of the house in a Treasury bond.
In cell A2, enter 24000, an estimate of the current rental value of the home.
In cell A3, enter the formula “=A2*A$1” without the quotes.
With the caret, grab the right lower corner of cell A3 and drag it down to include cell A31. This will copy the formula to the cells A4:A31.
In cell C1, enter “=NPV(B1, A2:A31)” without the quotes. That is the Net present value.
You can change the starting annual rent in cell A2, vary the discount rate in cell B1, or the growth of housing costs in cell A1. You can select and copy cells A1:C31, then go to cell E31 and paste in the cells. Now you have a side-by-side comparison.

Calculation of future home price: The Case-Shiller national home price index (CSUSHPINSA) has risen an average of 4.25% for the past 35 years.

A Home Is a Magic Wallet

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April 7, 2024

by Stephen Stofka

In this week’s letter I will explore the various roles that housing plays in our lives. Last week I showed the divergence of household formation and housing supply during the financial crisis. Home builders responded to the downturn in household formation by building fewer homes. Because the recovery after the crisis was slow, the demand for housing did not pick up until 2014. It is then that a mismatch between housing demand and supply started to appear in the national and some local home price indices. This week I will examine the demographics of homebuyers and sellers in recent history and the secret life of every homeowner as a landlord. A home is a magic wallet where money flows come and go.

Data from the National Association of Realtors (NAR) indicates that the median age of home sellers has increased from 46 to 60 since 2009. I will leave NAR data sources in the notes. In the four decades between 1981 and 2019, the median age of home buyers rose by twenty years, from 36 in 1981 to 55 in 2019. The median age of first-time buyers, however, increased by only four years, from 29 to 33. In 1981, the difference in age and accumulated wealth between first-time buyers and all buyers was only seven years. Now that difference has grown to 22 years. First-timers typically buy a home that is 80% of the median selling price of all homes.

In the past four decades, there has been a divergence in wealth between older and younger households. The real wealth of younger households has declined by a third since 1983 while households headed by someone over 65 have enjoyed a near doubling of their real wealth in thirty years. Accompanying that imbalance in growth has been a shift in capital devoted to housing.

The Federal Reserve regularly updates their estimates of the changes in household net wealth. The link is an interactive tool that allows a user to modify the time period of the data portal. The chart below shows the most recent decade of changes in wealth. The lighter green bars are the changes in real estate wealth for households and non-profits and show the large gains in real estate valuations during the pandemic. The blue bars represent equity valuations and demonstrate the volatility of the stock market in response to any crisis, large or small.

The Fed’s data includes various types of debt as a percent of GDP. Twenty years ago, household mortgages were 11-12% of GDP. Today they are 19% of GDP, a huge shift in financial commitment to our homes and neighborhoods. A city average of owner equivalent rent (FRED Series CUSR0000SEHC) averaged an annual gain of 2% during Obama’s eight- year term, 2.8% during Trump’s term, and 6% during the first three years of Biden’s term. Biden has little influence on trends in housing costs, but the art of politics is to use correlation as a weapon against your opponent. People feel the change in trajectory as a burden on their households.

The Bureau of Labor Statistics calculates owner equivalent rent by treating a homeowner as both a landlord and renter. Property taxes, mortgage payments, interest, maintenance and improvements to a home are treated as investments just as though the owner were a landlord. The BLS uses housing surveys to determine the change in rental amounts for different types of units. A sample of homeowners are asked how much they would rent out their home but this guess is used only to establish a proportion of income dedicated to rent, not the actual changes in the rental amounts for that area, as the BLS explains in this FAQ sheet.

Let us suppose that a homeowner has a home that is fully paid for. If the house might rent for $2000 a month and monthly expenses are $500 a month, that would represent $1500 per month in implied net operating income for that homeowner, an annual return of $18,000. A cap rate is the amount of net operating income divided by the property’s net asset value. If similar homes are selling for $450,000 in that area, the homeowner is making 4% on their house’s asset value, slightly less than a 10-year Treasury bond (FRED Series DGS10, for example).

Long-term assets compete with each other for yield, relative to their risk. A property is a riskier investment than a Treasury bond, so investors expect to earn a higher yield from a property. Before the pandemic, 10-year bonds were yielding between 2-3%. Landlords could charge lower rents and still earn more than Treasury bonds. As yields rose for Treasury bonds, property investors must charge higher rents to earn a yield appropriate to the risk or sell the property and invest the money elsewhere.

When we own an asset that provides an income, it is as though the asset owes us. When a home declines in value, we feel a sense of loss. When the housing market turned down in 2007-2008, homeowners expected to get a similar price as the house their neighbor sold in 2006. They used that sale price to determine what their house owed them. In order to get the listing, a real estate agent would agree to list the home for that higher amount, but the property would get few offers. After a period of time, the seller would cancel the listing and wait for the “market to turn around.”

Earlier I noted the dramatic rise in mortgage debt as a percent of GDP. At one-fifth of the economy, that debt represents capital that is not being put to its most efficient use because most homeowners do not regularly evaluate the yield on their homes as professional investors. A higher percent of capital devoted to housing will help sustain higher housing costs and pressure household budgets. I worry that an inefficient use of capital will contribute to a pattern of lower economic growth in the future, stifling income growth. The combination of these two pressures will make it difficult for younger households to thrive. The generational gap will widen, adding more social and political discord to our national conversation.

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Photo by Towfiqu barbhuiya on Unsplash

Keywords: mortgage, housing, owner equivalent rent

Notes on median age of sellers: 2009 data is from the NAR and cited in a WSJ article (paywall). Current data is from the NAR FAQs sheet. Jessica Lautz, an economist with NAR, reported the four-decade trend in home buyers. Median home prices of first-time buyers is from a 2017 analysis by the NAR. The comparison of older and younger households comes from a 2016 NAR analysis.

Notes on Federal Reserve data:  The change in mortgage debt as a percent of GDP is in the zip file component z1-nonfin-debt.xls, in the column marked “Noncorporate Mortgages; Percent of GDP.”