The Impact of Aging on Hong Kong’s Future Health Spending

Health spending began to grow faster than GDP in 2010 and is currently growing twice as fast as GDP. If immigration successfully slows population aging, health spending growth will return to parity with GDP growth by 2028. In all scenarios, spending’s share will rise from its current share of 7% to as much as 9%…

David Bishai*, Xiyin Chen*, Karen Grépin, Jianchao Quan

*Co-First Authors

School of Public Health, The University of Hong Kong

Abstract

Objective: Recent health spending growth has outpaced the growth of Hong Kong’s gross domestic product (GDP). Despite this, Hong Kong’s government has maintained its historical 50% share in financing health spending, with out-of-pocket and insurance funds paying for 30% and 20%, respectively. This paper quantifies the future impact of population aging on the future total costs of health care from 2023 until 2040. We decompose predicted health spending growth by inpatient, outpatient, day curative care, medical goods, and long-term care.

Methods: The past 23 years of health spending per capita data was modeled as a time series depending on the share of the population over 60, GDP per capita, and medical inflation. The best-fitting autoregressive, integrated, moving average (ARIMA) models were used to predict total and sub-components of health spending until 2040.

Results: Health spending began to grow faster than GDP in 2010 and is currently growing twice as fast as GDP. If immigration successfully slows population aging, health spending growth will return to parity with GDP growth by 2028. In all scenarios, spending’s share will rise from its current share of 7% to as much as 9% of GDP. Long-term care will be the fastest-growing component of health spending. 

Discussion: Health spending in Hong Kong will continue to grow faster than GDP for the next half-decade. Proactive choices for the government include improving efficiency in the curative services of the Hospital Authority, improving the Health Department’s ability to prevent disease through better population-level public health programs, keeping up with demand by increasing fiscal space through new sources of public revenue and enabling Hong Kong’s health insurance markets to be a more effective pressure valve for the public system. The longer Hong Kong waits for a course correction, the harder reform will be. It is urgent for Hong Kong to deliberate on the best options to cope with population aging and rising health spending without suffering degradation of the publicly provided health services.

Introduction

Between 1990 and 2020, total health spending in Hong Kong rose by an average annual rate of 5.6%, while the corresponding GDP growth rate was 3.4%. Furthermore, health spending growth rates are accelerating. Health spending in the pre-Covid period grew at 6%, 6.5%, and 6.9% from 2017 to 2019. The fundamental reasons for rising health spending are population aging, rising prices for health commodities, increased sickness, and increased treatment intensity. In Hong Kong, aging is the most significant factor that will drive up health spending. Much more could be done in Hong Kong to address the price growth of new health commodities, prevent disease, and improve the cost-worthiness of treatments. Planning ways to finance the growing costs was urgent 20 years ago, and now in the throes of population aging, the problem is becoming larger and harder to fix.

In 2022, Hong Kong had 1.59 million seniors 65 or over, composing one-fifth of the population. By 2036, it will have 2.41 million seniors and they will make up one-third of the population (Hong Kong Census and Statistics Department 2023); (Hong Kong Hospital Authority 2022). Inevitably, the rising number of seniors will need an increasing supply of health services. Although this population is currently 20% of the population, they already account for half of all bed days and admissions (Hong Kong Hospital Authority 2022). Past trends in the health care utilization of seniors predict a future growing need to pay for health care. In addition, medical care prices are likely to rise as new drugs and treatments become available. New technology in health care is rarely cost-saving (Chernew and Newhouse 2011). Changes in treatment intensity can also raise costs as doctors do more things for sick patients because of an expanding range of diseases for which there are treatment options.

Health spending growth exceeds GDP growth in most countries (Farag, NandaKumar et al. 2012). This growth puts pressure on governments whose revenue typically rises only as fast as GDP. In Hong Kong total health spending was $189 billion HKD in 2019/2020 accounting for 6.8% of GDP. The government funded 54% of total health spending coming to $102 billion government spending on health out of the $731 billion HKD of total government spending in 2019/2020 (Hong Kong Government 2021). Remarkably, the Hong Kong government has been able to keep pace with its share of rising total health spending, holding it between 48% and 54% of the total since 2005 (Hong Kong Health Bureau 2023) (See Figure 1). Even though over 1 million Hong Kongers have purchased voluntary health insurance policies in recent years, Figure 1 shows that these schemes have not succeeded in channeling a greater share of total financing.

Figure 1. Share of financing sources for health 2000-2021.

The projected aging of Hong Kong’s population in the coming decades will put unprecedented fiscal stress on Hong Kong’s health system. This paper offers new forecasts of health spending in Hong Kong from now until 2040 to help policymakers plan ways to sustain high-quality services and financial protection. The data for our analyses came from time-series from the Health Bureau and Census and Statistics Department spanning the years 2000 to 2022 (Hong Kong Census and Statistics Department 2023, Hong Kong Health Bureau 2023).

Methods

Autoregressive, integrated, moving average (ARIMA) models are widely used to forecast health spending (Getzen and Poullier 1992, Klazoglou and Dritsakis 2018, Zheng, Fang et al. 2020). They have the virtue of requiring a minimal number of assumptions because they just use the information about aggregated spending from the past to predict future aggregated spending[1]. We use a baseline unadjusted model as well as models adjusted for population aging, medical price inflation, and GDP growth.

Baseline Model

Our baseline ARIMA model aggregates prices, diseases and population aging together, and so assumes the future overall patterns will look like past overall patterns. As discussed in the appendix we first assessed the degree to which health spending in a given year depended on spending and random shocks in prior years[2]. Then we used data from 2000 to 2022 to fit a simple model as follows

[1]

Where Ht is the total health spending in time t and T is time in years. The terms in parentheses are inserted to correct for how much health spending in one year depends on health spending in the past and were determined using the Akaike information criteria. Once b is determined, the forecast estimate is simply Ht = C +  for T from 2023 to 2040.

Aging Adjusted Model

The aging adjusted model used equation [1] but also included past data on the percent of the population over 60 (PP60).  The forecast estimate is Ht+ = C + and this required the census’s forecast of PP60t+­ into the future. The Hong Kong Census bureau projects that population over 60 will stop rising by 2030 if Hong Kong succeeds in achieving net immigration of about 50,000 younger residents each year in coming decades.

GDP and Medical Inflation Adjusted Model

Other adjusted models used equation [1] but also included past data on the percent of the population over 60 (PP60) as well as past GDP and past medical price deflators. The forecast estimates in these models locked in GDP growth rate of 2.41% annually which equaled the average GDP growth rate of Hong Kong between 2000 and 2022. It locked in a medical inflation estimate of 4.67% based on the past medical inflation of 2000 to 2020.     

Results

Summary of Data Used

Table 1. Description of Data Used

 ObservationsMean(SD)/Median (IQR)
Year (years)232021 (11)
Percentage of population over 60 (%)2320% (12.56)
GDP per capita ($)23$35,868 (9159.91)
HE per capita ($)23$2,068 (851.84)
Medical inflation (%)204.67 (2.05)

Data are presented as mean (SD) or median (IQR). HE, health expenditure; GDP, gross domestic product. All spending predictions are presented in current dollars.

Main results

Figure 2 compares the current dollar unadjusted forecast of health spending from the baseline model [1] as a blue dashed line and current dollar health spending adjusted for the population over 60 years old as a blue solid line. For reference, the trend in GDP in Hong Kong is predicted by locking in 2.41% GDP growth and is shown as a solid red line. Unadjusted HE is a linear trend from 2022 onwards, increasing from 3 times its baseline in 2020 to over 5 times its baseline in 2040. Adjusting for the census’s predicted slowing of population aging, the adjusted health spending will only grow to 4 times its baseline in 2040.

Compared to either estimate of health spending, GDP will only approach 3 times its year 2000 baseline by 2040 if it keeps growing at 2.41%. Figure 3 compares the slopes of the curves in Figure 2 and shows that the HE growth rate will decelerate after 2028 as aging slows down. The demographic future depends on a Census Bureau projection where Hong Kong allows net immigration of roughly 50,000 younger people per year in coming decades and this softens the increases in the share of the population over 60[3].

Figure 4 shows the trends of HE as a percentage of GDP over a 42-year period from 2000 to 2042. HE share of the GDP is projected to grow from 7% in 2020 to over 9% in 2040 under the baseline unadjusted trend model. However, adjusting for immigration-based demographic changes, despite peaking at nearly 8% around 2032, the share of HE in the economy is expected to be lower by 2040, at around 7.5%. This suggests that factors related to population aging have a moderating effect on the growth of economic resources allocated to health spending.

Additional models forecasting the sub-components of health spending are shown in Appendix 2. As can be seen from the Appendix Figure 2.1, the largest health spending components are outpatient curative care, inpatient curative care, day curative care, medical goods, and long-term care in 2000 and 2020. Their predicted relative contributions will be unchanged in 2040. Within these five primary components, as shown in Appendix Figure 2.2, long-term care will be the fastest-growing component of health spending. Long-term care will rise from over 6 times its baseline in 2020 to around 12 times its baseline in 2040. Day curative care will be the second-fastest growing component, growing to nearly 9 times its baseline in 2040. It is worth mentioning that the preventive care component peaked at around 10 times its baseline from 2020 to 2022, which can be attributed to the COVID-19 outbreak when preventive care became the fastest-rising component of health spending. For robustness, we found that the ARIMA models adjusting for GDP or medical inflation into the base case model did not substantially alter our results. This occurs because the effects of medical inflation and GDP on health spending were already embedded in the growth pattern of the HE variables from 2000 to 2020. (Appendix 1)

Figure 2. Trend of HE&GDP over the 42-year period from 2000 to 2042 in Hong Kong normalized against their value in the year 2000. Blue dashed line, trend for HE based on the baseline model; Blue solid line, trend for HE based on the aging adjusted model; Red solid line, trend for GDP. HE, health expenditure; GDP, gross domestic product.

Figure 3. Predicted trends of growth rates for HE&GDP over the 20-year period from 2023 to 2042.  Blue dashed line, predicted trend for HE growth rates based on aging adjusted model; Red dashed line, predicted trend for GDP growth rates. HE, health expenditure; GDP, gross domestic product.

Figure 4. Trends of HE as a percentage of GDP over 42-year period from 2000 to 2042. Red dashed line, HE/GDP based on the baseline model; Blue dashed line, HE/GDP based on the aging adjusted model. HE, health expenditure; GDP, gross domestic product.

Discussion

The prospect of growth in Hong Kong’s health spending will put an increasing strain on government finances. Health spending growth will outpace GDP growth at least until 2028. If Hong Kong can achieve net immigration of about 50,000 younger people per year in the coming decade, it could bend the curve and restrain health spending’s share of the GDP to 7% by 2040. However, without the benefit of immigration to soften population aging, Hong Kong’s health spending will rise to 9% of GDP by 2040.  

Policy options to improve Hong Kong’s health system have been extensively discussed, but major reform has been elusive. Solutions need to be multi-faceted. Principal options are 1) Invest more in keeping people out of the hospital through prevention, health promotion, and comprehensive primary health care; 2) Improve efficiency in the use of current health care resources through demand and supply side utilization controls; 3) Manage the entry and pricing of new drugs and technologies; 4) Help citizens plan and pay for culturally appropriate long term care; 5)Help Hong Kong’s health insurance markets play a larger role in financing health care[4]; 6) Create new government funding by hypothecated revenues or social insurance (Leung and Bacon-Stone-J 2006).

We have shown that health spending growth will continue to outpace the government’s ability to pay. Because Hong Kong’s health spending growth is driven mostly by aging, its lived experience in the public sector will be an increase in admissions, bed days and outpatient visits demanded by more seniors who need more services from bedraggled public sector health workers. Waiting times for services in the public sector that are already long, will get longer. Hong Kong’s celebrated achievements in population health indicators (e.g. low infant mortality, long life expectancy) will become harder to maintain. It is beyond the scope of this paper to recommend which of the above-mentioned reforms are best suited for Hong Kong’s population. Our results call attention to a financial sustainability problem that has been growing and will continue to grow unless more steps are taken.

References

Chernew, M. E. and J. P. Newhouse (2011). Health care spending growth. Handbook of health economics, Elsevier. 2: 1-43.

Farag, M., A. NandaKumar, S. Wallack, D. Hodgkin, G. Gaumer and C. Erbil (2012). “The income elasticity of health care spending in developing and developed countries.” International journal of health care finance and economics 12(2): 145-162.

Getzen, T. E. and J.-P. Poullier (1992). “International health spending forecasts: Concepts and evaluation.” Social Science & Medicine 34(9): 1057-1068.

Hong Kong Census and Statistics Department. (2023). “Hong Kong population projections for 2022-2046.”   Retrieved November 23 ,2023, 2023.

Hong Kong Government (2021). 2020-2021 Budget. Hong Kong.

Hong Kong Health Bureau. (2023). “Domestic Health Accounts.” from https://www.healthbureau.gov.hk/statistics/en/dha/dha_summary_report.htm.

Hong Kong Hospital Authority (2022). Strategic Plan 2022-2027. Hong Kong.

Klazoglou, P. and N. Dritsakis (2018). Modeling and Forecasting of US Health Expenditures Using ARIMA Models, Cham, Springer International Publishing.

Leung, G. M. and Bacon-Stone-J (2006). Health Financing Reform. Hong Kong’ Health System. Hong Kong, Hong Kong University Press: 339-396.

Leung, G. M., K. Y. Tin and W.-S. Chan (2007). “Hong Kong’s health spending projections through 2033.” Health Policy 81(1): 93-101.

Wanless, D. (2002). Securing our future health: taking a long-term view. C. o. t. Exchequer. London.

Zheng, A., Q. Fang, Y. Zhu, C. Jiang, F. Jin and X. Wang (2020). “An application of ARIMA model for predicting total health expenditure in China from 1978-2022.” J Glob Health 10(1): 010803.

APPENDIX 1 Sensitivity analyses results

Appendix Figure 1.1. Trend of HE&GDP over 42-year period from 2000 to 2042 (GDP adjusted model). Blue solid line, trend for HE; Red solid line, trend for GDP. HE, health expenditure; GDP, gross domestic product.

Appendix Figure 1.2. Predicted trends of growth rates for HE&GDP over 20-year period from 2023 to 2042 (GDP adjusted model). Blue dash line, predicted trend for HE growth rates; Red dash line, predicted trend for GDP growth rates. HE, health expenditure; GDP, gross domestic product

Appendix Figure 1.3. Trend of HE&GDP over the 42-year period from 2000 to 2042 (GDP and medical inflation adjusted model). Blue solid line, trend for HE; Red solid line, trend for GDP. HE, health expenditure; GDP, gross domestic product.

Appendix Figure 1.4. Predicted trends of growth rates for HE&GDP over 20-year period from 2023 to 2042 (GDP and medical inflation adjusted model). Blue dash line, predicted trend for HE growth rates; Red dash line, predicted trend for GDP growth rates. HE, health expenditure; GDP, gross domestic product.

Appendix 2 Shares of HE Past Present Future

Appendix Figure 2.1. Share of components of HE in 2000, 2020, and 2040. HE, health expenditure.

Appendix Figure 2.2. Trend of HE components & GDP over 42-year period from 2000 to 2042. Dash lines, trend for HE components; Black solid line, trend for GDP. HE, health expenditure; GDP, gross domestic product. The light blue spike in preventive spending due to COVID-19 pandemic is unlikely to lead to continued large increases in prevention.

Appendix Figure 2.3. Predicted trends of growth rates for HE components & GDP over 20-year period from 2023 to 2042. Dash lines, predicted trend for HE components growth rates; Black solid line, predicted trend for GDP growth rates. HE, health expenditure; GDP, gross domestic product. The upper panel is adjusted just for Population over 60. The lower panel is adjusted for Population over 60 and GDP and medical inflation.

Appendix 3 on Methods

The alternative actuarial approach (not used in this study) breaks down a population by age, sex, utilization, and cost per visit (Wanless 2002, Leung, Tin et al. 2007). The total spending of a population is modeled as the product as follows:

[1] Total Cost = S (Njt) ×(Djkt) × (Mjkt) × (C­ijkt ).

Where Njt is the number of people in a group defined by age and sex. Dkjt Number of disease episodes of type k in group j. Mijkt is the number of medical treatments of type i for disease type k in group j. Cijkt is the cost of treatment i at time t. The disadvantage of the method is that it requires dozens of separate forecasts about the future evolution of N, D, M, and C in different ages, diseases, and treatment types. The database of past costs, disease trends, and treatment trends is often limited so analysts have to introduce many assumptions that multiply the uncertainty around the forecasts.

In the ARIMA approach that we adopted the past trends in overall spending are assumed to aggregate all of the information about past trends in morbidity, utilization, and inflation.

Statistical method for model fitting For the base case analysis, the model evaluation included the yearly trend and subsequent considerations for population aging. In the sensitivity analysis, additional predictors, such as GDP and the combination of GDP and medical inflation, were incorporated. Line plots were employed to visually represent the temporal evolution of growth rates for HE and GDP from 2023 onwards and the normalized HE and GDP over the 42-year period from 2000 to 2042. We used augmented Dickey-Fuller tests to assess the stationarity of total and sub-components of HE. The best fit number of autoregressive (AR) and moving-average (MA) lags were chosen in each ARIMA model according to the reported Akaike’s information criterion (AIC). The equation for our ARIMA model is outlined below,

[2]

Where  is the health expenditure at time , t is the error term of the health expenditure time series,  are the autoregressive parameters for the lag terms, and  are the moving average parameters for the lagged error terms,  are the coefficients for the independent variables including time, population over 60, GDP, and medical inflation, respectively.

Data The dataset to train the model included past information from 2000 to 2022 on the growth of the total population(Hong Kong Census and Statistics Department 2023), the population over 60(Hong Kong Census and Statistics Department 2023), gross domestic product (GDP) at current market prices(Hong Kong Government 2021), and total health expenditure (HE) in constant 2019 Hong Kong(Hong Kong Health Bureau 2023). We also applied the forecasting technique to sub-components of total health expenditure: inpatient, outpatient, day curative care, medical goods, and long-term care. In each case we determined the best fit ARIMA model, fit the model to population share over 60, and current GDP then forecast the future based on projections of population over 60, and GDP. For robustness we also assessed models using past measures of Hong Kong’s medical inflation. To project past trends into the future we used a quadratic interpolation of Hong Kong census bureau’s predictions for population over 60 from 2023 to 2042. We also tested the sensitivity of the model to include a simple forecast of future GDP based on extending the last 23 year’s average 2.41% annual growth rate into the next two decades.


[1] An actuarial approach (not used in this study) disaggregates health spending by age, sex, disease, inpatient/outpatient episodes per disease, and cost per episode (Wanless 2002, Leung, Tin et al. 2007).  The actuarial approach uses multiple hidden assumptions about the future time course of medical prices, disease rates, hospitalization rates, and population size.

[2] Spending patterns are called “autoregressive” when they depend significantly on past spending patterns from 1, 2, 3… years earlier. This happens because of multi-year labor contracts and capital financing.  They are said to have “moving averages” when shocks in a given year influence spending in subsequent years e.g. due to sudden enduring changes in epidemics like tobacco-related disease, HIV or hepatitis.

[3] The Census estimate predicts net increases of 106,000, 104,600, 89,700, and 68,300 domestic households of 2.6 to 2.7 people between 2021-26, 26-31, 31-36, and 36-41. (Hong Kong Census and Statistics Department 2023)

[4] Hong Kong’s private insurance market has grown its subscriber base without taking on a larger share of health spending (See Figure 1)

Translation

摘要


目標:近期,醫療衞生開支的增長速度高於香港本地生產總值(GDP)。儘管如此,特區政府一直維持50%的歷史醫療衞生開支份額,自費和保險基金分別佔30%和20%。本文量化了2023至2040年人口老齡化對未來醫療衞生總開支的影響。同時,筆者按住院醫療護理、門診醫療護理、日間醫療護理、醫療物品和長期護理方面,將預測的醫療衞生開支增長加以分項。

方法:根據60歲以上人口比例、人均GDP和醫療通脹率,將過去23年來的人均醫療衞生開支資料建立時間序列模型。採用最佳擬合的差分自回歸移動平均(ARIMA)模型來預測直至2040年的醫療衞生開支總額及其分項支出額。

結果:2010年起,醫療衞生開支的增長速度在2010年開始超過GDP,2023年更是GDP增速的兩倍。如果外來移民有助於減慢人口老齡化,則醫療衞生開支的增長速度將在2028年與GDP增速持平。在所有情景中,醫療衞生開支在GDP的佔比都將從目前的7%升至9%;而長期護理的增速將成為醫療衞生開支各分項中增長最快的部分。

討論:在未來的5年裡,香港醫療衞生開支的增長速度預計將持續高於GDP的增長速度,進一步擴大醫療衞生在整體經濟中的比重。政府可推行的積極有為措施包括:提高醫院管理局醫療服務的效率;通過更好的人口公共衞生計劃提高衞生署預防疾病的能力;通過新的公共收入來源增加財政空間以趕上需求;以及使醫療保險市場成為公共系統更有效的減壓閥。香港對改革躊躇不決的時間愈長,難度就愈大。因此,眼下的當務之急是商討醫療衞生體系的最佳方案,以應對人口老齡化和不斷增長的醫療衞生開支,同時避免公共醫療衞生服務退步。

 

一、引言


1990至2020年期間,香港醫療衞生總開支的年均增長率為5.6%,而香港本地生產總值(GDP)增長率僅為3.4%。醫療衞生開支的增長速度更不斷加快,在2017至2019年新冠肺炎疫情之前的3年期間,醫療衞生開支增長率分別為6%、6.5%和6.9%。人口老齡化、醫療物品成本上漲、患病率增加、醫療強度提高是醫療衞生開支上升的根本原因。在香港,人口老齡化是勢將推高醫療衞生開支的首要因素。在應對新醫療物品價格上漲、預防疾病、提高醫療的成本效益方面,香港尚須加倍努力。為應付不斷增加的醫療開支籌資的困局早在20年前就已迫在眉睫,時至今日,人口老齡化難關當前,醫療經費問題變得更大,也更難解決。

2022年,65歲及以上的長者共159萬人,佔香港人口的五分之一;預計至2036年將達241萬,佔總人口的三分之一(香港特區政府統計處2023); (香港特區醫院管理局2022)。無可避免,隨着長者人口增加,其所需醫療服務會愈加增多。例如,雖然目前長者只佔總人口的20%,但卻佔所有住院日和住院人數的一半(香港特區醫院管理局 2022)。從過去長者使用醫療衞生服務的趨勢來看,此一範疇的未來開支只會有增無已。加上新藥物和新療法的出現,醫療衞生服務的價格勢將上漲。醫療保健新技術絕少能節約成本(Chernew 與 Newhouse 2011)。再者,治療強度的變化也導致成本增加,皆因愈來愈多針對不同疾病的治療方案可供選擇,醫生為病人進行的治療自然更多。

在全球大多數國家,醫療衞生開支的增幅較GDP為高(Farag, NandaKumar et al. 2012),以致收入增幅長往往只與GDP相等的政府備受壓力。2019/2020年度,香港的醫療衞生開支總額為1,890億港元,佔GDP的6.8%。在7,310億港元的政府總開支中,公共醫療衞生開支的比例為54%,總值達1。值得注意的是,自2005年以來,政府一直承擔公共醫療衞生開支,維持在全港醫療衞生總支出的48%至54%(香港特區醫務衞生局 2023)【圖1】。儘管近年來有超過100萬市民購買了各類自願醫療保險計劃,如圖所示,其在整體開支中的份額並未見顯著增加。

1  2000-2021年香港各種醫療融資來源比率



預計未來幾十年,香港人口老齡化將給醫療衞生系統帶來前所未有的財政壓力。本文對香港2023到2040年期間的醫療衞生開支提出新的預測,以協助政策制定者規劃如何持續提供高質量服務和財政保障。筆者的分析數據來自香港特區政府統計處(統計處)和醫務衞生局公布的2000至2022年的時間序列數據。

 

二、研究方法


差分自回歸移動平均(ARIMA)模型被廣泛用於預測醫療衞生開支(Getzen 與 Poullier 1992;Klazoglou 與 Dritsakis 2018;Zheng, Fang et al. 2020)。這種方法的優點是只需要最少的假設,因為它們只利用了過去的總開支資料來預測未來的總開支[1]。筆者使用了未經調整的基線模型,以及調整人口老齡化、醫療通脹率和GDP增長後的模型。

(一)基線模型


本研究的基線ARIMA模型將價格、疾病和人口老齡化因素綜合考慮,因此假定未來的總體模式與過去的總體模式相似。正如附錄中的相關討論,筆者首先評估某一年的醫療開支在多大程度上取決於前幾年的開支和隨機沖擊[2],然後利用2000至2022年數據擬合了以下的簡單模型:



其中,是t時間內的醫療衞生開支總額,代表時間(以年為單位)。為了校正某一年的醫療衞生開支在多大程度上取決於過去的開支,筆者根據Akaike資訊準則(AIC)加入括號中的項。在b確定之後,就可以根據來預測2023至2040年T的預測估計值。

(二)人口老齡化調整模型


人口老齡化調整模型在公式【1】的基礎上,同時調整了過去60歲以上人口百分比(PP60)的數據。在這種情況下,預測估計值等於。這也要求對未來的進行人口預測;統計處估計,假使香港在數十年內能實現每年凈遷入約5萬名年輕居民,則60歲以上人口將在2030年停止上升。

(三)GDP及醫療通脹率調整模型


GDP及醫療通脹率調整模型在公式【1】的基礎上,調整了過去60歲以上人口百分比(),以及過去GDP和醫療平減物價指數的數據。該模型的預測估計值基於每年2.41%的GDP增長率(相當於2000至2022年期間香港的平均經濟增長率)及4.67%的醫療通脹率(根據2000至2020年的醫療通脹率)。

 

 

三、實證結果與分析


(一)使用數據摘要


表 使用數據說明

































 觀測值平均數(標準差)/中位數(四分位距)
年份(年)232021 (11)
60歲以上人口百分比(%)2320% (12.56)
人均本地生產總值(現值美元)23$35,868 (9159.91)
人均醫療衞生開支(現值美元)23$2,068 (851.84)
醫療通脹率(%)204.67 (2.05)

 

(二)主要結果


【圖2】比較基線模型【1】預測的未經調整的現值美元醫療衞生開支(藍色虛線)和根據60歲以上人口比重調整的現值美元醫療衞生開支(藍色實線)。作為參考,香港的GDP趨勢基於2.41%的經濟增長率預測,以紅色實線表示。從2022年起,未經調整的醫療衞生開支呈線性向上趨勢,2020年的醫療衞生開支是基線年份(2000年)的3倍,到2040年將增至5倍以上。根據統計處預測的人口老齡化放緩情況進行調整後,醫療衞生開支在2040年只會增至基線年份的4倍。

與這兩種模型估計的醫療衞生開支相比,假設GDP繼續以2.41%的速度增長,到2040年也只會接近基線年份(2000年)醫療衞生開支的3倍。【圖3】比較【圖2】中曲線的斜率,顯示隨着老齡化減緩,2028年後醫療衞生開支的增幅勢將放緩。未來人口結構的預測數據來自統計處,即香港在未來幾十年每年足以輸入大約5萬個年輕凈移民,這將減低60歲以上人口比例的增幅[3]

【圖4】顯示2000至2042年的42年間醫療衞生開支佔香港GDP百分比的變化趨勢。根據未經調整的基線模型,醫療衞生開支佔GDP的比例預計將從2020年的7%擴至2040年的9%以上。然而,基於來港的人口變化加以調整後,儘管醫療衞生開支在2032年左右達到近8%的峰值,但到2040年,此一份額將跌至大約7.5%。由此可見,人口老齡化相關因素對醫療衞生開支的增幅可產生減緩作用。

附錄2臚列預測醫療衞生開支各分項的模型。從附錄【圖2.1】中可見,在2000年和2020年,最大的醫療衞生開支組成部分是門診醫療護理、住院醫療護理、日間醫療護理、醫療物品和長期護理。到2040年,各分項相對比率預計將保持不變。如附錄【圖2.2】所示,長期護理在5個主要分項中增長最快,從2020年6倍於基線年份(2000年)以上增至2040年約12倍於基線年份。日間醫療護理是增長第二快的開支分項,將於2040年增至近9倍於基線年份。值得一提的是,從2020到2022年,預防護理分項達到峰值,約為基線年份的10倍,這可歸因於新冠疫情的爆發,令其成為期間增長最快的醫療開支分項。為確保穩健性,筆者發現ARIMA基線模型即使經過GDP及醫療通脹率調整,本研究的預測結果並無多大改變。這是因為醫療通脹和GDP對醫療衞生開支的效應已經包含在2000至2020年醫療衞生開支變量的增長模式中(附錄1)。

 

2  2000–2042年香港醫療衞生開支和本地生產總值的變化趨勢



 

3  2023–2042年醫療衞生開支和本地生產總值增幅的預測趨勢



 

4  2000–2042年醫療衞生開支佔本地生產總值比重的預測趨勢



 

 

四、結論與建議


香港醫療衞生開支未來的增長趨勢將使特區政府財政日益受壓。至少直至2028年,醫療衞生開支的增長速度將超過GDP的增長速度。香港若能在10年內實現每年凈流入約5萬個年輕居民估計醫療衞生開支佔GDP份額的升幅在2040年得以放緩,下降到7%水平。否則,在缺乏外來移民抵消人口老齡化問題的效應下,此一比例將於2040年升至9%。

對於醫療衞生體系的改善方案,各界議論多時,但一直未能大事改革。解決方案必須涵蓋多方面,其中主要包括:一、加大投資力度,通過疾病預防、健康推廣和全面基層醫療以免市民染病入院之需;二、通過供求控制,提高現有醫療資源的使用效率;三、對新藥物和新技術的引入和定價善加管理;四、協助市民計劃和支付適合其文化背景的長期護理;五、推動整體醫療保險市場在醫療融資方面發揮更大作用[4];六、通過抵押收入或社會保險為政府融資開源(Leung 與 Bacon-Stone-J 2006)。

本研究結果顯示,醫療衞生開支的增長將持續超出特區政府所能負擔的水平。基於醫療衞生開支擴大主要由老齡化帶動,因此公共醫療部門出現的實際情況在於入院人數、住院日數和門診次數隨長者對醫療服務需求趨升而有所增加,以致捉襟見肘的公營醫護人員窮於應付。本來就很長的公共醫療服務輪候時間恐怕只會愈來愈長。香港在人口健康指標(如嬰兒夭折率低、預期壽命長等)各方面的出色表現,勢難維持。至於上述改革中哪些最適合香港,則不在本文的討論範圍。是項研究的結果旨在喚醒各界關注醫療衞生的財政可持續性問題,除非能及時進一步採取應對措施,否則日益嚴峻的情況只會繼續惡化。

 

參考文獻

Chernew, M. E. and J. P. Newhouse (2011). Health care spending growth. Handbook of health economics, Elsevier. 2: pp.1-43.

Farag, M., A. NandaKumar, S. Wallack, D. Hodgkin, G. Gaumer and C. Erbil (2012). “The income elasticity of health care spending in developing and developed countries.” International journal of health care finance and economics 12(2): pp.145-162.

Fishkin, J. S., R. C. Luskin and R. Jowell (2000). “Deliberative polling and public consultation.” Parliamentary affairs 53(4): pp.657-666.

Getzen, T. E. and J.-P. Poullier (1992). “International health spending forecasts: Concepts and evaluation.” Social Science & Medicine 34(9): pp.1057-1068.

Hong Kong Government (2021). 2020-2021 Budget. Hong Kong.

Hong Kong Health Bureau. (2023). “Domestic Health Accounts.” from https://www.healthbureau.gov.hk/statistics/en/dha/dha_summary_report.htm.

Hong Kong Hospital Authority (2022). Strategic Plan 2022-2027. Hong Kong.

Hsiao, W. and W. Yip (1999). Improving  Hong Kong’s healthcare system: why and for whom? Hong Kong, Government Printer.

Klazoglou, P. and N. Dritsakis (2018). Modeling and Forecasting of US Health Expenditures Using ARIMA Models, Cham, Springer International Publishing.

Leung, G. M. and Bacon-Stone-J (2006). Health Financing Reform. Hong Kong’ Health System. Hong Kong, Hong Kong University Press: pp.339-396.

Leung, G. M., K. Y. Tin and W.-S. Chan (2007). “Hong Kong’s health spending projections through 2033.” Health Policy 81(1): pp.93-101.

Wanless, D. (2002). Securing our future health: taking a long-term view. C. o. t. Exchequer. London.

Zheng, A., Q. Fang, Y. Zhu, C. Jiang, F. Jin and X. Wang (2020). “An application of ARIMA model for predicting total health expenditure in China from 1978-2022.” J Glob Health 10(1): 010803.

 

 

附錄1 敏感性分析結果


 

附圖1.1  2000–2042年香港醫療衞生開支和本地生產總值的變化趨勢

(本地生產總值調整模型)



附圖1.2  2023–2042年香港醫療衞生開支和本地生產總值增長率的變化趨勢

(本地生產總值調整模型)



附圖1.3  2000–2042年香港醫療衞生開支和本地生產總值的變化趨勢

(本地生產總值及醫療通脹率調整模型)



附圖1.4  2023–2042年香港醫療衞生開支和本地生產總值增長率的變化趨勢

(本地生產總值及醫療通脹率調整模型)


附錄 2 過去現在未來的醫療衞生開支分項份額


附圖2.1  2000年、2020年、2040年香港醫療衞生開支分項所佔份額

 

附圖2.2  2000–2042年香港醫療衞生開支分項和本地生產總值的變化趨勢



附圖2.3  2023–2042年香港醫療衞生開支分項和本地生產總值增長率的變化趨勢


附錄3 實證分析方法論


另一種精算方法(本研究並未採用)是按年齡、性別、使用情況和每次診金對人口加以細分(Wanless 2002;Leung, Tin et al. 2007)。人口的總開支模型為以下乘積:



其中,是年齡組別和性別組別的人數。第j组中k型疾病的發病次數。是第j组中k型疾病的i型治療次數。是治療i在時間t的成本。該方法的缺點是需要對不同年齡、疾病和治療類型的、、和的未來趨勢進行數十次單獨預測。過去的成本、疾病趨勢和治療趨勢數據庫往往有限,因此分析人員必須作出許多假設,而大大增加預測的不確定性。

至於本研究所採用的ARIMA方法,則假定總開支的過去趨勢匯總了發病率、使用率和通脹率過去趨勢的所有相關資料。

  • 模型擬合的統計方法


基線模型分析已先包含年度趨勢,並以人口老齡化作為評估考慮因素。在敏感性分析中,更納入GDP以及GDP與醫療通脹率相結合等附加預測因素。本研究也採用了折線圖,以示從2023年起醫療衞生開支和GDP增長率的時間演進,以及2000至2042年42年間醫療衞生開支和GDP的標準化趨勢。筆者亦使用經擴張的Dickey-Fuller檢驗來評估總醫療衞生開支及其分項的平穩性。根據所報告的AIC,在每個ARIMA模型中選擇最合適的自回歸(AR)和移動平均(MA)滯後數。筆者的ARIMA模型方程概述如下:



其中,為時間t的醫療衞生開支,為開支時間序列的誤差項,γ1、γ2 為滯後項的自回歸參數,γ3、γ4 為滯後誤差項的移動平均參數,β1、β2、β3、β4分別為時間、60 歲以上人口比例、GDP 和醫療通脹率等自變量的偏回歸系數。

數據來源


用於訓練模型的數據集包括2000至2022年期間的總人口數目(香港特區政府統計處2023)、60歲以上人口比例(香港特區政府統計處 2023)、以當時市價計算的GDP(香港特區政府 2021)以及固定(2019年)醫療衞生開支總值(醫務衞生局2023)。本研究還預測了醫療衞生開支的各分項:住院醫療護理、門診醫療護理、日間醫療護理、醫療物品和長期護理等。在各情況中,筆者都會確定最合適的ARIMA模型,再將模型配合60歲以上人口比例以及當時GDP,然後基於60歲以上人口比例和GDP的推算數字來預測未來趨勢。為求穩健性,還依據香港以往醫療通脹率來評估各個模型。為透過以往趨勢預測未來,研究使用了統計處2023至2042年期間60歲以上人口預測的二次項插值法。再者,筆者測試了模型的敏感性,即根據過去23年平均2.41%的GDP年增幅,加以延伸至未來20年,從而對經濟前景進行簡單預測。

 

[1] 另一種精算方法(本研究並未使用)是按年齡、性別、疾病、每種疾病的住院/門診病人次數和每次發病的費用對醫療衞生開支進行分類(Wanless 2002;Leung, Tin et al. 2007)。該精算方法採用關於未來醫療價格、疾病發病率、住院率和人口規模的多種隱性假設。

[2] 當開支模式在很大程度上取決於1年、2年、3年⋯⋯之前的開支模式,就被稱為「自回歸」,背後原因是多年期勞動合同和資本融資。某一年的沖擊影響到隨後幾年的開支之際,開支模式被稱為「移動平均」;例如,由於煙草相關疾病、愛滋病或肝炎等流行病造成的持久影響。

[3] 根據當局估計,2021–2026年、2026–2031年、2031–2036年和2036–2041年期間,2.6至2.7人的家庭住戶將分別凈增106,000戶、104,600戶、89,700戶和68,300戶(香港特區政府統計處 2023)。

[4] 雖然香港私營保險市場的投保人數增加,卻沒有承擔更大的醫療衞生開支份額(【圖1】)。