2 short questions both needs to be answered. work done needed with explanations if any

5. Find the present value of the following perpetuity. Perpetuity Payment $410 Made At: end Payment Period 1 month Interest Rate 5.7% Conversion Period quarterly The present value is $ (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) 6. What is the nominal annual rate of interest compounded quarterly if a loan of $23,500 is repaid in eight years by payments of $1000 made at the end of every three months? The nominal annual rate of interest is % compounded quarterly. (Round to two decimal places as needed.)