Jadwa Investment said direct savings from the kingdom's price hike on diesel are estimated at $2.75 billion (2.56 billion euros) and gasoline levies are expected to save an additional $2.5 billion.

The rest of the savings will come from price rises on natural gas fuel oil and propane it added.

The total cost of energy subsidies in the world's top oil exporter was estimated at $61 billion last year. Indirect costs include the impact on the environment road accidents and overconsumption because of cheap prices.

Saudi Arabia posted a record budget deficit of $98 billion in 2015 15 percent of GDP and is projecting a shortfall of $87 billion this year. It posted an $18 billion deficit in 2014.

Last month the OPEC heavyweight raised the price of gasoline diesel crude oil ethane natural gas fuel oil and electricity by up to 80 percent.

The Fitch ratings agency said Wednesday that Saudi Arabia's 2016 budget contained significant reforms and followed key expenditure restraints during the second half of 2015.

"The lower-than-expected 2015 deficit mainly reflects measures to contain spending introduced during the year -- including greater scrutiny" of capital spending Fitch said.

The International Monetary Fund and other agencies had forecast the Saudi budget deficit last year to be as much as $130 billion.

Saudi Arabia normally overspends its budget projections. Fitch said last year saw the lowest overspend since 1999 at just 13.4 percent compared with a 10-year average of 24 percent.

"Without the one-off cost of royal decrees after the accession of King Salman and additional military and security spending... spending would have been almost on budget" the agency said.

Revenues in 2015 dropped to $162 billion the lowest since the global financial crisis in 2009 due to a massive $123 billion fall in oil revenues.

The contribution of oil income to revenues dropped to just 73 percent in 2015 from an average of 90 percent in the past decade.

To finance the budget the Saudi government withdrew from its huge fiscal reserves and issued bonds on the domestic market.

Reserves dropped from $732 billion at the end of 2014 to $632 billion in November.

The kingdom is estimated to have issued domestic bonds worth around $30 billion since July raising public debt to $38 billion or 5.8 percent of GDP Jadwa said.