You borrow $10,000 today at a nominal rate of 5 percent; inflation for the past 10 years has been exactly 2 percent. Today, inflation instantly rises to 4 percent and stays that way for the duration of your loan. Based on the above information and all else being equal, today

Group of answer choices

you are worse off because inflation has risen.

you are better off strictly because 5 percent is still more than 4 percent.

you are better off because you are paying back the loan with dollars that represent less purchasing power today than the dollars you borrowed before.

the lender is better off because the real rate of interest automatically increases when inflation increases.

both you and the lender are better off because real rates fall when inflation rises.