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ESG Prime Bank has an obligation of $750 at the end of the first period and $550 at the end of the second period. It also has $1,528.93 to invest and can choose between zero-coupon bond or the coupon bond. The coupon bond matures in two years, pays an annual coupon of $100, and has a balloon payment of $1,400. The zero-coupon bond has a balloon payment of $1,610 at the end of the second year. The default-free yield on a one-year bond is 10%, and the annualized yield on a two-year bond is also 10%.
(i) What is the present value of the bank's equity?
(ii) Suppose the interest rate at t = 1 is 8%. What will be ESG Prime Bank's equity if it invests in the zero-coupon bond?
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