A financial institution has entered into a swap where it agreed to receive quarterly payments at a rate of 2% per annum and pay the SOFR three-month reference rate on a notional principal of $100 million. The swap now has a remaining life of 10 months.

Assume the risk-free rates with continuous compounding (calculated from SOFR) for 1 month, 4 months, 7 months, and 10 months are 1.4%, 1.6%, 1.7%, and 1.8%, respectively. 

Assume also that the continuously compounded risk-free rate observed for the last two months is 1.1%. Estimate the value of the swap.