James Corporation is planning to issue bonds with a face value of $$509,500$ and a coupon rate of $6$ percent. The bonds mature in $15$ years and pay interest semiannually every June $30$ and December $31.$ All of the bonds will be sold on January $1$ of this year. $($FV of $$1,$ PV of $$1,$ FVA of $$1,$ and PVA of $$1)($Use the appropriate factor$($s$)$ from the tables provided. Round your final answer to whole dollars.$)$

Required:

Compute the issue $($sale$)$ price on January $1$ of this year for each of the following independent cases:

a$.$ Case A: Market interest rate $($annual$)$: $4$ percent.b$.$ Case B: Market interest rate $($annual$)$: $6$ percent. c$.$ Case C: Market interest rate $($annual$)$: $8\mathrm{.}5$ percent.