In: Finance
You wish to borrow $1,000 for 8 years to start a business. You approach different lenders who have the following offers. Which is the best lender to borrow from? All percentage rates are rounded to 6 decimal places.
Select one:
a. 9.645476% pa APR compounding quarterly where there are exactly 4 quarters per year.
b. 9.539758% pa APR compounding weekly where there are exactly 52 weeks per year.
c. 2.411369% as an effective quarterly rate where there are exactly 4 quarters per year.
d. 4.239326% as an effective semi-annual rate where there are exactly 2 semi-annual periods per year.
e. I'll lend you the $1,000 now if you pay me a single payment of $2,143.59 in 8 years, with no other payments in between.
We calculate Effective annual rate (EAR) for each option to find out the lowest EAR.
Formula used:
Since EAR is lowest for option d. Option d is best lender to borrow from.