The SNP is using its newly acquired Westminster clout to push for more powers to be devolved to Scotland.
The party, which is now the third largest in Parliament, has sent a letter to the government's Scottish secretary David Mundell calling for more Holyrood powers.
Under its plans, Scotland would be able to control corporation tax, capital gains tax, the minimum wage and National Insurance.
The SNP had previously sought an amendment to the Scotland Bill in the House of Commons, which would have given it full fiscal autonomy, but it was defeated by 249 votes.
Current legislation in the Scotland Bill would give Scotland control of 40 per cent of tax and 60 per cent of borrowing, allowing the Scottish Parliament to have control over income tax rates, air passenger duty and some benefits.
The SNP's deputy first minister, John Swinney, wrote a letter saying this did not go far enough. He said full fiscal autonomy was the best route to fulfilling Scotland's potential.
Conservative Scottish secretary David Mundell said full fiscal autonomy would cost every Scottish family £5,000 and described the plan as a "shambles".