Arnot International has bonds outstanding that are currently trading in the market at a price of $$1,300.$ These bonds have several characteristics:

The bonds have a face value of $$1,000.$

They pay an annual coupon of $11\%.$

The bonds have $10$ years left until they mature.

Additionally, there's a provision that allows the company to call back these bonds in $5$ years at a price of $109\%$ of the face value, which amounts to $$1,090.$

Now, we need to find the Yield to Maturity $($YTM$)$ and Yield to Call $($YTC$)$ for these bonds.

To calculate YTM$,$ we need to determine the rate at which the present value of all future cash flows $($coupon payments and the face value$)$ equals the current market price of the bond, which is $$1,300.$

To calculate YTC$,$ we need to determine the rate at which the present value of cash flows up to the call date equals the call price, which is $$1,090.$

Let's solve for both YTM and YTC$.$b$.$ What is the yield to call if they are called in $5$ years? Round your answer to two decimal places.

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