Please help me solve this, thank you!

You have taken out a loan for $76,000. The interest rate is 7% APR, but interest is com- pounded monthly, and you will make payments monthly. You have 10 years to pay off the loan. Broadly speaking, inflation is good for borrowers, because the inflation adjusted interest rates for their loans are lower than the nominal interest rates. Assume that there are no minimum payments required for the loan from the previous question, but that you do still have to pay the whole loan back within 10 years. Assume further that the inflation rate is constant over time. Say you spend all the money you get from your loan to buy gold, and that the price of gold increases at the same rate that inflation proceeds. That is, if the inflation rate is 5% annually, the price of gold in nominal dollars also increases by 5% annually. You may sell your gold at any time. What is the lowest annual inflation rate (rounded up to the nearest whole percentage, e.g. 12% instead of 11.2%) that allows you to make a profit by selling your gold then repaying? You must provide some work to show that your answer is correct