Today is 1 July, 2022, Georg plans to purchase a corporate bond with a coupon rate of j₂ = 4.61% p.a. and a face value of $100. This corporate bond matures at par. Its maturity date is 1 January, 2025. The yield rate is assumed to be j₂ = 8.4% p.a. Assume that this corporate bond has a 14% chance of default in any six-month period during its term. Assume, also, that, if default occurs, Georg will receive no further payments at all. Calculate Georg's purchase price. Round your answer to three decimal places.