To find the annual percentage rate (APR), we can use the formula:
APR = (interest / principal) * (365 / days)
where "interest" is the total amount of interest paid, "principal" is the amount borrowed, and "days" is the number of days in the loan period.
In this case, the interest paid is $37.13, the principal is $1000, and the loan period is 7 days.
So we can plug in these values to get:
APR = (37.13 / 1000) * (365 / 7)
APR = 0.03713 * 52.14285714
APR = 1.935%
Rounding to the nearest tenth of a percent, the annual percentage rate is 1.9%.