On March 4 of 1999, XYZ Corporation takes out a $1 million loan. The company pays the interest semiannually. The six-month interest rate is six-month LIBOR 80 basis points, with a cap at 9.25%. Assume that LIBOR is at 8.5% on March 4, 1999, and 7.75% on September 4, 1999. What is the second interest payments on the loan

$85,500

Explanation:

From the question, we are told XYZ Corporation takes out a $1 million loan and the interest on the loan is paid semiannually.

We are also told that the six-month interest rate is six-month LIBOR 80 basis points, with a cap at 9.25%. Assume that LIBOR is at 8.5% on March 4, 1999, and 7.75% on September 4, 1999.

The second interest payments on the loan will be:

The interest rate will be:

Interest rate = LIBOR + 80bps

= 7.75 + 0.8

= 8.55%

Interest paid in the second period

= $1,000,000 × 8.55%

= $1,000,000 × 0.0855

= $85,500

Note that there is no need for using the cap since the interest didn't exceed 9.25%

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