Katie has borrowed 300,000 from Trout Bank. Katie will repay 100,000 of principal at the end of each of the first three years.

Katie will pay Trout Bank a variable interest rate equal to the one-year spot interest rate at the beginning of each year.

Katie would like to have a fixed interest rate so she enters into an interest rate swap with Lily. Under the interest rate swap, Katie will pay a fixed rate to Lily, and Lily will pay a variable rate to Katie. The variable rate will be the same rate that Katie is paying to Trout Bank. The other terms of the swap will mirror the loan that Katie has.

You are given the following spot interest rates:

Time (t)	Spot rate rt
1	4.3%
2	4.6%
3	5.1%
4	5.4%
5	5.6%

Calculate the swap interest rate for Katie’s swap. (A) 4.27%

(B) 4.52%

(C) 4.78%

(D) 5.07%

(E) 5.31%