Problem $25-12$ Call provisions

Use Table $25\mathrm{.}1$ to answer the following questions:

$\backslash$table$[[$Amount issued,$$600$ million$],[$Offered$,$Issued at a price of $99\mathrm{.}592\%$ plus accrued interest $($proceeds$],[$Interest$,$to company $98\mathrm{.}717\%)$ through Citi and JPMorgan$],[$Maturity$,5\mathrm{.}85\%$ per annum payable June $15$ and December $15.],[$Denomination$,$ face value, or principal,June $15,2041],[$Callable Remaining payments discounted at the treasury rate $+30$ basis points,$]]$

a$.$ AMAT decides to call the bond one year before it is due to expire. The interest rate on one$-$year Treasury bonds is $2\%.$ What price must AMAT pay to call the bonds?

Note: Enter your answers in dollars, rather than in millions of dollars, rounded to $2$ decimal places.

b$.$ If the interest rate on Treasury bonds is $10\%.$ What price must AMAT pay to call its bonds? $($Hint$.$ AMAT will pay greater value between par face value and PV of remaining payments$)$

Note: Enter your answers in dollars, rather than in millions of dollars, rounded to $2$ decimal places.

a$.$ Price payable by AMAT

b$.$ Price payable by AMAT