1. the math of interest. please indicate if you are unsure or totally sure about the answer. Please show solution step by step

Given the following two sets of cash flows: Option A: $46,832.77 in 3 years plus $Y in 10 years time. Option B: $114,154.8815 years from today. The nominal rate i(365)=6.376% makes the present value of these two options the same. What is the value of Y ? a. $10,212.32 b. $9,623.15 c. $9,524.95 d. $9,819.54 e. $10,114.13 Certainty?: C=1 (Unsure: C=2 (Mid: >67% ) C=3 (Quite sure: >80% )