You are an investment adviser for a client, who has $200,000 to invest for exactly 4.56 years. She states that the investment must be in default-free, non-callable bonds. She will pay you a commission based on how close her realized yield is to 8.1%. After a quick survey, you believe that the following investment opportunities are available (all annual coupon and compounding):

You want to form a portfolio from bonds A and B such that this portfolios duration is exactly 4.56 years; so that you can recommend the client to invest in this portfolio.

Calculate the dollar amount that the client would need to invest in Bond A of this portfolio as per your advice.

Round your answer to 2 decimal places. For example, if your answer is 25.689, please write down 25.69.

Bond Coupon Maturity Promised YTM Current Price 8.1% 5 8.1% 1000 B 8.1% 23 8.1% 1000