Vodacom Inc. has issued zero$-$coupon corporate bonds with a $10-$year maturity. The bond has a face value of $$1,000.$ Investors believe there is a $25\%$ chance that the company will default on these bonds. If the company does default, investors expect to recover $34\%.$ If investors require a $5,30\%$ expected return on their investment in these bonds, what is the yield to maturity on these bonds?