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In a March 2021 survey of workers in the US, 62% said that they expect to continue working in retirement, with a surprising number planning

In a March 2021 survey of workers in the US, 62% said that they expect to continue working in retirement, with a surprising number planning to work when aged well into their 70s. Ninety percent of these people planning to work into old age had at least one financial reason for doing so. So, let me assume that you have 50 years until retirement. Assume that you are saving for retirement via a growing ordinary annuity (you save a proportion p of your income each year and your income grows at rate g per annum). What is the impact on your nal wealth if you can earn an extra 2% return per annum over this 50-year horizon? Note that this is not a KiwiSaver question, so dont worry about a fixed-dollar government match here. Please assume your income grows as a steady rate of g = 4% per annum and tell me the impact on your final wealth if you could earn R = 9% per annum rather than R = 7% per annum. Assume annual cash flows.

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