Time Series Analysis – understanding Trends


What’s it all about?

A technique in Budgeting that allows us to determine the amount and timing of future sales (and the production needed) based on an analysis of past sales. Mostly used where there is seasonality in sales.

Issues in seasonal sales.

Seasonality is very important in some industries. having all of your production/sales at one time of year can be very risky for a company and they will try to balance this out across their products.

Christmas cards are very seasonal, but card shops don’t just sell Christmas cards. You can buy the obvious like birthday cards which should sell equally all year round, but the card industry has attempted to have other seasonal sales to try and boost sales overall. Cards for Mothers’ Day, Valentines Day, all hae a history of being promoted by the card manufacturers to boost their sales. Take a look next time you are in a card shop.

How about this for seasonality, Canadian Resort Hotels expect 100% occupancy in the summer and 5% occupancy in the winter. How do you cope with that sort of cash flow? (from an ‘Undercover Boss: Canada’ programme).

Using Time Series Analysis, we expect to be able to calculate the likely proportion of annual sales that will happen in a particular season. If we also have a prediction of total sales in the next year, we can predict how many of them should happen in each period.

Most, but not all, school wear sales tend to happen in the summer holiday months. did you hate seeing all the ‘Back to School’ adverts as soon as you were on holiday? Six weeks holiday was just not enough.

So that’s one type of seasonality, and to a certain extent we can predict it and plan for it.

School Uniform sales are a very seasonal product with the vast majority being sold in the run up to the start of the new school year. Interesting when it is referred to as a boost for retail sales when surely it is anticipated? We know when kids go back to school and it happens every year. It probably reflects poor sales at other times if something predictable is seen as a boost.

“UK retail sales rose in August helped by small shops enjoying a boost from school uniform buying..”

http://www.heraldscotland.com/business/13767770.School_uniform_buying_boosts_retail_sales_in_August/

Long Term Trends

Things do change over time.

July 2020

 

Trends.

Interesting to see how some trends have reversed in lockdown – bacon sales up!

Some of the biggest increases…

Posted by Management Accounting Info on Tuesday, 14 July 2020

 

 

March 2020. Decline in consumption of meat as people switch to alternatives.

https://inews.co.uk/news/consumer/vegan-boost-greggs-vegetarianism-meet-demand-1367871

And see how it has increased since this article in November 2018.

https://www.theguardian.com/business/2018/nov/01/third-of-britons-have-stopped-or-reduced-meat-eating-vegan-vegetarian-report

January 2020

Some trends we can see from the data analysis of our own business figures, others we have to predict from activities in the world at large.

Just prior to the Coronavirus pandemic, climate change was identified as the biggest risk to business.

It will be sidelined again as Governments are likely to abandon long term planning in an attempt to boost their ailing economies (there are always elections around the corner), but once the pandemic is over, Climate Change will still be the issue you should plan for.

August 2019. Here is an example of a long term trend in action. The switch from petrol to electric cars. So there is a trend in the increase in sales of one category of product and a decline in sales in another category. The decline will likely continue even if partially masked by seasonal or cyclical factors in month by month sales  figures.

Watch this.

Seasonality.

Christmas Adverts are clearly for seasonal products, but I was surprised to see a television advert for batteries. Mind you, I guess with all the products sold ‘batteries not included’, sales around Christmas must be significant.

A £1,000,000 advertising spend though!

https://gcmagazine.co.uk/varta-batteries-powers-christmas-tv-ad-campaign/

Not actually the Varta ad, but it makes the point.

Other seasonal factors can come into play though that we cannot predict.

The weather has an impact on sales in addition to/opposition to the expected seasonal trend as this article from 2015 shows. Cool/wet weather reduced sales in August but the same weather encouraged sales in September as autumn clothing lines were sold.

John Lewis fashion sales were up by 17% in the first week of September, after tough trading conditions in August.

Total sales were up by 11% to £86.8m for the week ending September 5, compared with the same period last year.

Barry Matheson, director of retail services, called it “the perfect combination of a damp Bank Holiday Monday, cool weather through the week and a shift in the fall of the calendar for back to school”.

http://www.drapersonline.com/news/autumn-temperatures-boost-john-lewis-fashion-sales/5079007.article#.VfmM8NJVhHw

The weather isn’t predictable so we could consider it one of those residual/random variations or we could bear in mind that when we make predictions of seasonal sales that they should really be considered to be part of a range of possibles.

Trends and Seasonal Fluctuations can affect any business.

 

The impact of other people on seasonality.

January 2020.

Seasonality can be related to true seasons – more ice cream sold when it is hot – or can be the result of somebody trying to stop your sales. Dry January is just one of a number of campaigns trying to get people to give things up, with charity often the excuse behind it.

 

 

 

This article talks of how brewers have to cope with the sudden drop in demand in January.

How would you plan your budgeting if your business was affected in this way?

 

 

My birthday is in January, so definitely no ‘Janvier Sec’ for me.
 

 

Further Reading.

Seasonal Sales.

One of the main reasons for doing Time Series Analysis is to be able to work out when your sales are likely to be when you have a seasonal product. knowing when your sales are allows you to know when you have to make things/buy things to have them available for sale.

Extreme but predictable.

An extreme example of seasonality. So many claims for divorce are made in January that it causes a backlog in the Family Courts that affects all proceedings.

 

Weather impact.

 

We would probably have taken average seasonal effects into account in our plans already, but exceptional weather can have an impact too. Expect the same for figure for June 2019 after our poor weather this month too.

Book Sales

Christmas is an important time for book sales, hence Super Thursday in October when the books expected to be Christmas presents are launched.

http://www.independent.co.uk/arts-entertainment/books/news/super-thursday-over-500-new-books-to-go-on-sale-in-one-day-a6678671.html

Snow Blowers

Here’s an interesting example for a product only used in winter – snow blowers in the USA – note when the company buys them.

http://www.wcsh6.com/story/news/local/2015/08/25/cities-and-stores-prepare–winter/32353469/

A trend or a unpredictable variation?

Fewer deaths over the last twelve months. When the population has gone up, this is a bit surprising. Might be because of a milder winter – a seasonal variation – normally death rates are higher in the winter.

Overcoming seasonality in sales.

Wouldn’t it be better if you could sell your product all year round? Ice cream is considered an example of a seasonal product (summer obviously). The bigger brands often advertise out of season to encourage sales all year round.

Andy Foweather, Sales Director, General Mills UK, says, “Whilst retailers will experience a significant downturn in trade for impulse handheld ice cream during the winter months, it remains a key selling period for luxury ice cream. In fact, 44% of Häagen-Dazs brand sales occur in winter, making it a must stock for retailers all year round.”

http://www.talkingretail.com/products-news/frozen/h-agen-dazs-boosts-winter-sales-with-new-limited-edition/

Trends

Trends need to be taken into account when budgeting. The underlying change in the requirement for our product/service.

May 2020.

Impacts of Covid-19 changes on society and trends likely to have an enormous impact on the car manufacturing industry.

https://www.nytimes.com/2020/05/13/business/auto-industry-pandemic.html

Mar 2020.

We know how to do calculations from sales data to detect trends. Here is a very disturbing one.

People dying younger leading to reductions in pensions payouts.

Poorer people inevitably as they are the ones that face are mostly affected by Conservative cuts and inaction on pollution.

 

Feb 2020.

The general decline in printed study books for University students as you access more an more information online/through e-books has a serious impact on a major education text publisher.

Here is an example of a trend that would also impact on predictions relating to a business. We might have seasonal impacts on our sales, but would also need to be aware of the underlying trend (here of falling footfall).

In this first clipping, it certainly looks like a trend away from sales in retail outlets (The High Street) with annual sales falling for the first time ever. Sales through other channels (online etc.) would need to be considered when planning total production.

We might reconsider elements of our production in the light of this information. Packaging is less important online than in a shop. Weight and size have an impact on delivery cost if we are mailing product to customers.
We can also consider selling price as different channels have different costs to us.

https://www.independent.co.uk/news/business/high-street-shops-close-retail-visitors-fall-poll-a9153936.html

Feb 2020

Long term trends are difficult to pick out of normal sales data, but they are important for our long term business plans.

Here changing drinking habits are influencing a major tea brand owner over its investment plans.

I do my best to keep the tea industry going by drinking six – eight pints most days, but I can’t do it all on my own!

https://www.bbc.co.uk/news/business-51309566

Cyclical Effects

Sporting events are a good example of a cyclical impact on sales.

The Rugby World Cup in England 2015 lead to increase in sales. But note the article under Random Events of what happened when England failed to progress.

http://www.bmmagazine.co.uk/newswire/rugby-world-cup-boosts-sales-of-beer-and-party-food/

Economic Cycles.

Economic cycles which run for several years impact on sales – seasonal sales from one year to the next are also affected by economic cycles.

“There is a global economic cycle, with periodic reverses that the policy-makers have to cope with as best they can. It would be great to eliminate the cycle – to end boom and bust – but we can’t and people who say we can end up with egg on their face. All we can do is to try to minimise its amplitude so that it is less destructive of jobs and economic activity more generally, and that is what sensible policy aims to achieve.”

http://www.independent.co.uk/voices/comment/chinas-fall-hasnt-changed-everything–its-really-just-noise-10481769.html

Random Events (Residual).

The fourth element of sales figures, the changes arising from unpredictable events. Seasonal variations are within a year, we expect to sell more holidays in the summer than in March. Cyclical variations affect businesses over a period of years, but are largely predictable. But actually, many of the things that affect industries are Random, just not predictable.

You might say it is predictable that we might have a pandemic, but not when the pandemic is, so  Coronavirus is a current example of a random event affecting sales and production.

May 2020

Over 40% of a company’s income evaporates. How could you plan for that? Think of the reserves you would have to maintain if you thoroughly planned!

https://inews.co.uk/news/business/itv-furloughs-800-staff-advertising-revenues-collapse-coronavirus-2844145

February 2020

How would you plan for the complete disruption of your supply chain, even if for only a few months?

https://www.theguardian.com/business/2020/feb/24/primark-owner-coronavirus-abf-uk

We had a tragic example in 2015. All the analysis of past data going would not be able to predict the sales in the period when a terrorist atrocity affects sales. http://www.independent.co.uk/news/business/news/atrocity-in-tunisia-could-cost-tui-40m-this-year-10455047.html

And then greater impact at home following the Paris murders..

http://www.independent.co.uk/news/world/europe/paris-attacks-european-economies-take-a-hit-as-visitor-numbers-drop-and-locals-remain-nervous-a6753076.html

Another example of a residual (random) event that will effect sales. Alton Towers couldn’t predict the problem with the ride, but they know it is going to affect attendances hence the laying off of staff.

http://www.telegraph.co.uk/finance/newsbysector/retailandconsumer/leisure/11984772/Alton-Towers-to-cut-as-many-as-190-jobs-after-Smiler-rollercoaster-crash.html

Look at the impact of weather here. How predictable would fluctuations in the relative values of currencies be? How could you build either into your predictions of sale for next year?

http://www.independent.co.uk/news/uk/home-news/august-bank-holiday-hotels-fear-for-2016-bookings-after-washout-uk-summer-10473496.html

Other events can be seen as ‘unpredictable’ and have an impact on planning without being disasters.

the launch of a new product or competitor can influence sales. Will potential purchases hold off on buying a Tesla etc. until they see what Dyson has to offer?

https://www.theguardian.com/technology/2017/sep/26/james-dyson-electric-car-2020

Major sporting events have a cyclical effect in that they are held periodically (and at predictable gaps). These cyclical events can be affected by Random events too. The exit of hosts, England from the Rugby World Cup 2015 was predicted to have a huge adverse effect. They really were poor and didn’t deserve to go through. Japan on the other hand were brilliant but despite winning three games didn’t go through. Tragedy!

http://www.independent.co.uk/sport/rugby/rugby-union/international/rwc-2015-england-defeat-to-australia-could-cost-uks-biggest-companies-3bn-a6677601.html

VW wouldn’t have taken the discovery of their ’emissions errors’ into account when planning their budgets, but it has had a big effect on sales.

http://www.standard.co.uk/business/volkswagen-car-sales-plunge-10-in-october-as-effects-of-emissions-scandal-begin-to-show-a3107411.html

Is this cyclical, seasonal or random?

I guess some Royal events are predictable; anniversaries for example, but the rest?

https://www.itv.com/news/2019-07-12/royal-wedding-and-baby-china-helps-boost-royal-collection-sales/

 

Using Time Series Analysis.

Interpreting Trends.

As always you shouldn’t just look at the numbers, you need to consider other aspects, the ‘environment’ affecting the trend that you are looking at.

Here is a fairly clear trend, declining attendance at Catholic church.

I came to this one listening to a radio item about the slowing in decline in Catholic attendance in comparison to other churches. That was data up to 2015, but I’ve only been finding analysis up to a couple of years ago.

Why is there an increase in 2002? Why has the rate of decline reduced?

 Catholic Mass Attendance: 1993-2010

Key Points from the website I got the graph from.

Weekly mass attendance fell between 30.7% between 1993 and 2010, as compared to corresponding falls of 10.9% in the Catholic population and 9.4% in the number of priests over the same period.

In the 50 years between 1912 and 1962, the Catholic Population more than doubled in size. It continued to rise up to 1993, when it peaked at 4.53 million.

Over the same 50 year period, the number of priests also nearly doubled in size, peaking at 7,887 in 1965. The number of priests has fallen each year since 2002. The 2011 total of 5,264 represents the lowest total since 1937.

Why has the decline in attendance slowed?

Among the suggested reasons are:

Pope Benedict XVI visited the UK in September 2010.

Parents attending church to gain the children access to church run schools (though this is likely to be temporary – decline one the last child is in the school – or am I being cynical).

Growth in the population of immigrants many of whom come from Catholic countries in Eastern Europe (and to a lesser extent, Catholic communities in Africa). The major increase in the Catholic population between 1912 and 1962 is attributed to immigration from the Republic of Ireland (and their UK born families).

The ones left are the committed ones (I am not so convinced by this one – won’t old age be reducing the number too).

Similar patterns are shown in other churches.

Why the increase in 2002?  Don’t know.

So what has this got to do with Trend Analysis?

We like accounting to be about simple maths with nice easy answers that explain everything. If this was a graph showing sales of our product we might decide that we were in the stage of the Product Life Cycle where we were in gentle decline – we still have a market, just a smaller one. There would still be money to be made.

However, the ‘market’ could still disappear quite quickly if there were a change in the business environment. Going back to our church attendance numbers – what would happen if the UK left the EEC? Would substantial numbers of our community who are from Eastern Europe leave? What if faith schools had to take pupils without regard to allegiance to their church?

Rule 1. You can’t just read the numbers to make decisions, you need to have an understanding of your business environment.

Rule 2. past performance (here too) is not a guarantee of future performance.

Further reading on this topic:

The table and data above taken from a faith survey at: http://faithsurvey.co.uk/catholics-england-and-wales.html. You can do the survey yourself at http://faithsurvey.co.uk/index.html

Analysis of long-term trends in Church attendance (belief) based on 2011 Census at : http://www.vexen.co.uk/UK/religion.html

BBC news report on church composition from 2010: http://www.bbc.co.uk/news/11297461

Possible Written Questions.

(No indication of marks – the more marks a question gets, the more you are expected to write – detail that is, not just words!) If you can’t answer these, you need to do some more reading. I do ‘find’ questions elsewhere, so these aren’t all questions I have used myself.

 Explain how and why under Time Series Analysis you need to make adjustments to the seasonal variation averages calculated.

What are the advantages of using Time Series Analysis?

What are the potential problems that can arise if you use Time series Analysis to predict sales?