Many loans to corporations are quoted today at small risk premiums and profit margins over the SOFR$-$Secured Overnight Financing Rate. United Commercial Bank has a $$25$ million loan request for working capital to fund accounts receivable and inventory from one of its largest customers, APEX Footwear Limited.

The Customer offers the bank a floating$-$rate loan for $90$ days with an interest rate equal to SOFR on $30-$day Euro deposits $($currently trading at a rate of $3\mathrm{.}5$ percent$)$ plus a one$-$quarter percentage point markup over SOFR. The Bank, however, wants the loan at a rate of $1\mathrm{.}06$ times SOFR.

If the Customer agrees to this loan request, what interest rate will attach to the loan if it is made today? How does this compare with the loan rate the customer wanted to provide?

What does this bank$$s rate reveal about the bank's interest rate forecast for the next $90$ days? Please provide all the relevant workings.