WASHINGTON — President Obama is announcing new mortgage relief for members of the military and veterans as well as homeowners with government-insured loans. The initiatives are the latest administration attempt to help borrowers struggling under a depressed housing market.

Obama spelled out the plan today at the start of his first news conference of the year.

Borrowers with mortgages insured by the Federal Housing Administration would be able to refinance at half the fee that the FHA currently charges. The administration says a typical FHA borrower who refinances could save more than $1,000 a year from the changes.

For service members and veterans, Obama says major lenders will review foreclosures or denials of lower interest rates. If wrongly foreclosed upon, service members will be paid their lost equity and receive additional compensation.

Obama has not held a full news conference since November. The White House scheduled this one on the same day as the 10-state Super Tuesday Republican presidential nominating contests. While aides insisted the timing was coincidental, it follows a pattern of Obama seeking the limelight when the attention is on the GOP.

The news conference comes amid a new sense of optimism at the White House. Obama’s public approval ratings have inched up close to 50 percent. The president recently won an extension of a payroll tax cut that was a main element of his jobs plan for 2012. Economic signals suggest a recovery that is taking hold.

Under the housing plans, FHA-insured borrowers would be able to refinance their loans at half the fee that the FHA currently charges. FHA borrowers who want to refinance now must pay a fee of 1.15 percent of their balance every year. Officials say those fees make refinancing unappealing to many borrowers. The new plan will reduce that charge to 0.55 percent.

With mortgage rates at about 4 percent, the administration estimates a typical FHA borrower with $175,000 still owed on a home could reduce monthly payments to $915 a month and save $100 a month more than the borrower would have under current FHA fees.

Though 2 million to 3 million borrowers would be eligible, the administration official would not speculate how many would actually seek to benefit from the program. The FHA provides mortgage insurance on loans made by FHA-approved lenders throughout the United States and its territories. The loans typically go to homeowners who do not have enough equity to qualify for standard mortgages. It is the largest insurer of mortgages in the world.