“your hope.” This is the figure of speech metonymy, where “hope” is put for what a person is hoping for, or expecting. There is a future, so what a believer hopes for will come to pass, it will not be “cut off” and thus not happen.
Godly and righteous people should have a solid hope for a lot of wonderful things. Instead of envying sinners (Prov. 23:17), who heap up material goods in this life but lose it all—and their life too—on the Day of Judgment, God promises those who love Him a wonderful future. Hebrews 11:9-10 says Abraham lived in a tent but looked for a city built by God. Moses gave up the wealth of Egypt for a greater reward in the future (Heb. 11:24-26). Many people have suffered greatly rather than deny God because they kept their eye on the “better resurrection” (Heb. 11:25).
Christians can wholeheartedly serve God now even if it causes some trouble in this life because they not only look forward to living forever with Christ on a wonderful recreated earth and being rewarded for their efforts, but also to having new bodies that are like Christ’s glorious body (Phil. 3:21). [For more on Christ’s wonderful future kingdom on earth, see Appendix 3, “Christ’s Future Kingdom on Earth.” For more on being rewarded for doing good works, see commentary on 2 Cor. 5:10, “good or evil”].