A person wants to take out a loan of DKK 300,000. The person gets two offers.

Offer 1: Yearly nominal interest of 4.2 % compounded monthly.

Offer 2: Yearly nominal interest of 4.3 % compounded quarterly.

Which offer should the person choose?

I wanted to ask, I'm doing every thing all right?

Offer 1\(\displaystyle APR=100 (1+{\frac{\frac{4,2}{12}}{100}}^{12}-1)=4,281800720\)

Offer 2 \(\displaystyle APR=100 (1+{\frac{\frac{4,3}{4}}{100}}^{4}-1)=4.369835754\)