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The Interest-Rate Exposure of Danish Homeowners

Greater indebtedness and increasing use of adjustable-rate loans generally make Danish households more vulnerable to rising interest rates.

The analysis below shows that the interest burden of the average homeowner declines with rising income, which means that low-income homeowners are more vulnerable to adverse economic developments. On the other hand, homeowners in the high-income brackets have a higher ratio of adjustable-rate loans. The average change in interest expenses as a ratio of income following an increase in interest rates is almost the same for all income brackets. On average, the interest expenses of Danish homeowners increase by 1 per cent of gross income if the short-term interest rate goes up by 1 percentage point. However, there is considerable dispersion, and many homeowners have interest-rate exposure of more than 2 per cent.

The loan-to-value ratio for the individual homeowner depends on the geographical development in housing prices, as well as age and income. First-time buyers and low-income homeowners thus have the highest average loan-to-value ratios. Homeowners in Greater Copenhagen and Northern Zealand have the lowest loan-to-value ratios, but the highest debt-to-income ratios.

Data
The analysis is based on a database[1] comprising a range of anonymised data about a group of Danish homeowners – choice of loan type, income, geographical location, etc. The database is described in more detail in Box 10, which also compares the data with Statistics Denmark's data for all Danish homeowners. The homeowners in the database are assessed to be a representative sample of Danish homeowners, but it should be emphasised that the analysis and conclusions are based on lending to homeowners by a single mortgage-credit institute. Moreover, only the homeowners' mortgage debt to mortgage-credit institutes is considered, not any other debt.

Debt burden
The homeowners' average mortgage debt is 2.1 times the gross household income. The debt ratio varies somewhat across and within income brackets. The average mortgage debt is 2.9 times the annual household income for homeowners in the lowest income bracket, and 10 per cent in this group have mortgage debt that is at least 4.5 times the annual household income, cf. Chart 38.

MORTGAGE DEBT AS A RATIO OF GROSS INCOME BY INCOME BRACKETS, END-FEBRUARY 2005
Chart 38
Source: Nykredit and own calculations.

In Greater Copenhagen, Northern Zealand and Eastern Jutland, including Århus, homeowners have higher mortgage debt as a ratio of income than in the rest of Jutland and Zealand as well as Funen and Bornholm. This is to a large extent attributable to the geographical bias in the development in housing prices, with large increases particularly in Greater Copenhagen, Northern Zealand and Eastern Jutland, including Århus. The average housing debt of homeowners in the municipalities of Copenhagen and Frederiksberg is 2.8 times the annual household income, cf. Table 5.

MORTGAGE DEBT AS A RATIO OF GROSS INCOME BY GEOGRAPHICAL LOCATION, END-FEBRUARY 2005
Table 5
 Geographical location
 Average
10th
per-
centile
25th
per-
centile
50th
per-
centile
75th
per-
centile
90th
per-
centile
Copenhagen and Frederiksberg
2.8
1.4
2.0
2.5
3.2
3.9
Northern Zealand and suburbsof Copenhagen
2.4
1.5
1.9
2.3
2.8
3.3
Bornholm
1.6
0.9
1.2
1.5
1.9
2.3
Rest of Zealand andsurrounding islands
2.1
1.2
1.6
2.0
2.5
3.0
Funen and surrounding islands
2.0
1.1
1.5
1.9
2.4
3.0
Southern Jutland
1.9
1.1
1.4
1.8
2.2
2.8
Central and Western Jutland
2.0
1.1
1.4
1.9
2.3
2.9
Eastern Jutland, incl. Århus
2.2
1.3
1.6
2.0
2.5
3.2
Northern Jutland
2.0
1.1
1.4
1.8
2.3
2.9
Total   
2.1
1.2
1.6
2.0
2.5
3.1
Source: Nykredit and own calculations.

As expected, a breakdown of mortgage debt by age shows that young homeowners, who are often first-time buyers, have the highest mortgage debt.

Loan-to-value ratio
The loan-to-value ratio is defined as the outstanding housing debt as a percentage of the estimated market value of the home. The loan-to-value ratio gives an indication of the indebtedness of the individual homeowner, as well as the lender's buffer in the event that the borrower does not service the loan and the mortgage is redeemed. A mortgage-credit loan to finance the purchase of a permanent residence must not exceed 80 per cent of its market value. Consequently, the loan-to-value ratio cannot exceed 80 per cent when the mortgage-credit loan is raised, but this may be the case if the market value of the home subsequently declines. Owing to the substantial rise in market values in the Danish housing market in recent years, this has been a purely academic problem. However, certain marginal areas have seen a decline in housing prices within this period.

As Table 6 shows, the average loan-to-value ratio is generally higher for low than for high income brackets. One reason might be that high-income homeowners are able to make larger down payments and/or choose a shorter redemption profile for the loan than homeowners in the lower income brackets. This is the obvious conclusion, but a more likely explanation is that the largest increases in housing prices have been seen in areas with a relatively greater number of high-income homeowners. Table 7 supports this argument since it shows that homeowners in Copenhagen and Northern Zealand – precisely the areas with the most substantial price rises – have the lowest loan-to-value ratios.

LOAN-TO-VALUE RATIO BY GROSS INCOME BRACKETS, END-FEBRUARY 2005
Table 6
 
Per cent
Household income, kr. 1,000
Average
25th
percentile
75th
percentile
0-250 (200)
63.0
56.4
71.5
250-350 (298)
65.6
59.9
73.2
350-450 (404)
66.5
61.4
73.7
450-550 (499)
66.8
61.8
73.8
550-650 (595)
66.4
61.1
73.9
650-750 (694)
65.4
60.1
73.2
750- (973)
64.4
58.6
72.7
Note:    The loan-to-value ratio is calculated for the outstanding cash debt as a percentage of the property value as estimated by Nykredit. Normally, no income details are required for mortgage-credit loans of less than 60 per cent of the property value, which adds a selection bias to the loan-to-value ratios, cf. Box 10. Figures in parenthesis indicate the average household income within each interval (gross).

Source: Nykredit and own calculations.

No clear link is seen between the loan-to-value ratio and the choice of mortgage-credit loan type. However, homeowners with a high loan-to-value ratio are more likely to opt for deferred amortisation.

Not surprisingly, the loan-to-value ratio is highest among the youngest homeowners and generally falls as people get older. Geographically, the largest dispersion in the loan-to-value ratio is seen in Northern Zealand and the suburbs of Copenhagen, cf. Table 7.

LOAN-TO-VALUE RATIO BY GEOGRAPHICAL LOCATION,
END-FEBRUARY 2005
Table 7
 
Per cent
Geographical location
Average
25th percentile
75th percentile
Copenhagen and Frederiksberg
60.9
53.5
70.6
Northern Zealand and suburbs of Copenhagen
64.3
58.2
72.5
Bornholm
68.8
62.3
76.9
Rest of Zealand and surrounding islands
65.8
59.8
73.9
Funen and surrounding islands
65.6
60.4
72.6
Southern Jutland
66.2
61.6
73.2
Central and Western Jutland
68.2
63.6
75.2
Eastern Jutland, incl. Århus
65.8
60.4
73.1
Northern Jutland    
66.2
61.6
73.5
Note:   The loan-to-value ratio is calculated for the outstanding debt as a percentage of the real-estate value as estimated by Nykredit. Normally, no income details are required for mortgage-credit loans of less than 60 per cent of the real-estate value, which adds a selection bias to the loan-to-value ratios, cf. Box 10.

Source: Nykredit and own calculations.

Interest expenses and burden
As Chart 39 illustrates, the average annual interest expenses before tax for mortgage-credit loans rise with income. The interest-expense percentiles also show that the variation is greater in the higher income brackets.

DANISH HOMEOWNERS' INTEREST EXPENSES BEFORE TAX, END-FEBRUARY 2005
Chart 39
Note: The interest expenses relate to mortgage-credit loans in mortgage-credit institutes only and do not include interest expenses for other debt, etc.
Source: Nykredit and own calculations.

The interest burdens of the individual households, defined as annual interest expenses as a ratio of gross income, are shown in Chart 40. Households with annual income of less than kr. 250,000 spend a larger proportion of their income on interest than the other income brackets. The Chart also shows a clear link between average interest burden and household income. The interest burden falls with rising income, and consequently homeowners in the lower income brackets are more vulnerable if their incomes decline, e.g. as a result of unemployment.

DANISH HOMEOWNERS' INTEREST EXPENSES AS A RATIO OF GROSS INCOME, END-FEBRUARY 2005
Chart 40
Note: The interest expenses relate to mortgage-credit loans in mortgage-credit institutes only and do not include interest expenses for other debt, etc.
Source: Nykredit and own calculations.

The percentile distribution of interest expenses as a ratio of debt is virtually the same for all income brackets, cf. Table 8. This is a direct consequence of the market-based Danish mortgage-credit system where only the amount that can be borrowed varies with income, not the rate of interest. If a borrower is approved for a mortgage-credit loan, the interest rate is the same irrespective of other credit circumstances.

DANISH HOMEOWNERS' INTEREST EXPENSES AS A RATIO
OF MORTGAGE DEBT, END-FEBRUARY 2005
Table 8
 
Per cent
Household income,
kr. 1,000
 Average
10th
per-
centile
25th
per-
centile
50th
per-
centile
75th
per-
centile
90th
per-
centile
0-250 (200)
5.2
3.1
4.1
5.6
6.1
6.6
250-350 (298)
4.9
3.1
3.6
5.5
5.6
6.6
350-450 (404)
4.9
3.0
3.5
5.5
5.6
6.6
450-550 (499)
4.8
3.0
3.4
5.2
5.6
6.3
550-650 (595)
4.6
3.0
3.3
4.6
5.6
5.9
650-750 (694)
4.6
3.0
3.2
4.6
5.6
5.8
750- (973)
4.5
3.0
3.2
4.5
5.6
5.7
Note:   Figures in parenthesis indicate the average household income within each interval (gross).

Source: Nykredit and own calculations.

The differences in average interest expenses as a ratio of debt are purely attributable to the loan structure, i.e. whether the homeowner has opted for long-term fixed-interest-rate or adjustable-rate loans based on the short-term interest rate. In other words, the reason why the average is lower for the high income bracket is that this group has a larger percentage of adjustable-rate loans than the other income brackets, cf. Chart 41.

LOAN TYPES BY GROSS INCOME, END-FEBRUARY 2005
Chart 41
Note: Cash loans have been omitted, since they generally constitute less than 1 per cent.
Source: Nykredit and own calculations.

On average, a change in the short-term interest rate will therefore have a greater impact on the interest expenses of the higher income brackets. In addition, adjustable-rate loans tend to be more popular among young borrowers and among homeowners in Greater Copenhagen and in Central and Western Jutland.

Table 9 shows the average change in interest expenses for Danish homeowners if the short-term interest rate goes up by 1 percentage point. In this context, the short-term interest rate is defined as the rate of interest on an adjustable-rate loan, irrespective of the fixed-interest period. Table 9 shows that the change in interest expenses increases with income. In a financial stability perspective, this is positive since homeowners in the low-income brackets have a higher income burden from the outset, cf. Chart 40.

AVERAGE CHANGE IN ANNUAL INTEREST EXPENSES ON AN INCREASE IN THE SHORT-TERM INTEREST RATE BY 1 PERCENTAGE POINT, END-FEBRUARY 2005
Table 9
Household income, kr. 1,000
Change in
interest
expenses,
kr.
Change in
interest
expenses,
per cent
Change in
interest
expenses
as a ratio
of debt,
percentage
points
Change in
interest
expenses
as a ratio of
income,
percentage
points
0-250 (200)
2,025
7
0.3
1.1
250-350 (298)
3,086
9
0.4
1.0
350-450 (404)
3,901
10
0.4
1.0
450-550 (499)
4,757
10
0.5
1.0
550-650 (595)
6,109
12
0.5
1.0
650-750 (694)
7,273
12
0.5
1.0
750- (973)
9,605
13
0.5
1.0
Note:     Figures in parenthesis indicate the average household income within each interval (gross). In this context, the short-term interest rate is defined as the rate of interest on an adjustable-rate loan, irrespective of fixed-interest period.

Source: Nykredit and own calculations.

This means that in spite of the differences from one income bracket to another, the interest-rate exposure is virtually the same for all income

brackets. On average, homeowners' interest burden will increase by approximately 1 percentage point if the short-term interest rate goes up by 1 percentage point. In other words, the adjustable-rate debt matches the gross income on average, but there are large dispersions within and between the different income brackets, as well as geographically, and many homeowners have an interest-rate exposure in excess of 2 per cent.

DATA
Box 10

Danmarks Nationalbank has been granted access to information in Nykredit's customer database (exclusive of Totalkredit), which has made it possible to analyse the interest-rate exposure of Danish homeowners. The database contains anonymised details about borrowers' choice of mortgage-credit loan type, incomes, geographical location, etc. The database includes information up to and including February 2005.

The database contains information falling within the following three categories: customer information, mortgage-credit information and real-estate information. Only observations containing income details have been included in the analysis. Where the loan-to-value ratio is below 60 per cent, income details are not normally required. Consequently, the data have a selection bias. However, the data selection means that the homeowners omitted are generally better off than those included.

On the basis of data, a database containing the incomes, debts and interest expenses of the individual households is generated. Some households have more than one mortgage-credit loan, and therefore the number of observations is reduced to just over 63,000 households in the fully reduced data set used in the analysis.

The geographical distribution of homeowners in the database broadly matches the overall geographical distribution of homeowners in Denmark, cf. the Table below.

DISTRIBUTION OF HOMEOWNERS IN THE DATABASE AND IN DENMARK
Per cent
Database
Denmark
Copenhagen and Frederiksberg
3.5
4.6
Northern Zealand and suburbs of
Copenhagen
 19.7
 17.6
Bornholm
0.7
1.1
Rest of Zealand and surrounding islands
16.1
16.9
Funen and surrounding islands
10.7
9.6
Southern Jutland
12.9
9.6
Central and Western Jutland
11.4
13.1
Eastern Jutland, incl. Århus
15.8
17.1
Northern Jutland  
9.3
10.3
Total
100.0
100.0
Note:     Distribution of Nykredit customers based on the reduced data set. Distribution of homeowners in Denmark as at 1 January 2004.

Source: Nykredit and Statistics Denmark.
On the other hand, the distribution of incomes among the homeowners in the database is more even than in Denmark in general. This may be partly attributable to the fact that the overall income distribution includes non-homeowners. In 2003, the average household income of Danish homeowners was kr. 453,000, while the average household income among the homeowners in the database is kr. 496,000.

The concentration of homeowners in the range 30-50 years is greater in the database's reduced data set than among Danish homeowners overall, cf. the Table below. Part of the explanation is that the reduced data set includes only mortgage-credit loans with income details, which means that old loans are often omitted.

AGE DISTRIBUTION OF HOMEOWNERS IN THE DATABASE AND IN DENMARK
Per cent
Database
Denmark
Younger than 30 years
10.1
10.3
30-40 years  
24.2
20.7
40-50 years
28.9
22.4
50-60 years
25.7
23.4
60-70 years
8.7
11.8
70-80 years
1.8
8.0
Older than 80 years         
0.5
3.4
Note:  Age distribution of homeowners in Denmark as at 1 January 2004.

Source: Nykredit and Statistics Denmark.



[1]  The database was provided by the courtesy of Nykredit and does not contain data relating to Totalkredit.


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