{"title":"以数学分析为支持的具有长期效益的遗产捐赠新方法","authors":"Daniel Solow, Robin Symes, Natalie Webb","doi":"10.1002/nvsm.1813","DOIUrl":null,"url":null,"abstract":"<p>A novel approach to legacy donations, called the “Master Fund Strategy,” is proposed. Potential long-term financial benefits for both donor and nonprofit organizations (NPOs) when compared to a “Traditional Fund Strategy” are established through mathematical analysis and computer simulations, providing nonprofit marketing and fundraising professionals an alternative way to lock in bequest funding. In particular, formulas are developed for computing relevant financial quantities associated with the two strategies. Conditions are presented under which the Master Fund Strategy is better than the Traditional Fund Strategy, in the sense that there is a point in time when the net present value of the distributions to the NPO under the Master Fund Strategy exceeds that of a Traditional Fund Strategy and continues to do so beyond that point. These analytical results are obtained under the assumption that the investment rates of return and the fund payouts rates are known constants; however, formulas for relaxing these restrictions are also developed and the consequences are examined with Monte Carlo simulations.</p>","PeriodicalId":100823,"journal":{"name":"Journal of Philanthropy and Marketing","volume":"29 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nvsm.1813","citationCount":"0","resultStr":"{\"title\":\"A novel approach to legacy donations with long-term benefits supported by mathematical analysis\",\"authors\":\"Daniel Solow, Robin Symes, Natalie Webb\",\"doi\":\"10.1002/nvsm.1813\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A novel approach to legacy donations, called the “Master Fund Strategy,” is proposed. Potential long-term financial benefits for both donor and nonprofit organizations (NPOs) when compared to a “Traditional Fund Strategy” are established through mathematical analysis and computer simulations, providing nonprofit marketing and fundraising professionals an alternative way to lock in bequest funding. In particular, formulas are developed for computing relevant financial quantities associated with the two strategies. Conditions are presented under which the Master Fund Strategy is better than the Traditional Fund Strategy, in the sense that there is a point in time when the net present value of the distributions to the NPO under the Master Fund Strategy exceeds that of a Traditional Fund Strategy and continues to do so beyond that point. These analytical results are obtained under the assumption that the investment rates of return and the fund payouts rates are known constants; however, formulas for relaxing these restrictions are also developed and the consequences are examined with Monte Carlo simulations.</p>\",\"PeriodicalId\":100823,\"journal\":{\"name\":\"Journal of Philanthropy and Marketing\",\"volume\":\"29 1\",\"pages\":\"\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2023-08-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nvsm.1813\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Philanthropy and Marketing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/nvsm.1813\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"BUSINESS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Philanthropy and Marketing","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/nvsm.1813","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"BUSINESS","Score":null,"Total":0}
A novel approach to legacy donations with long-term benefits supported by mathematical analysis
A novel approach to legacy donations, called the “Master Fund Strategy,” is proposed. Potential long-term financial benefits for both donor and nonprofit organizations (NPOs) when compared to a “Traditional Fund Strategy” are established through mathematical analysis and computer simulations, providing nonprofit marketing and fundraising professionals an alternative way to lock in bequest funding. In particular, formulas are developed for computing relevant financial quantities associated with the two strategies. Conditions are presented under which the Master Fund Strategy is better than the Traditional Fund Strategy, in the sense that there is a point in time when the net present value of the distributions to the NPO under the Master Fund Strategy exceeds that of a Traditional Fund Strategy and continues to do so beyond that point. These analytical results are obtained under the assumption that the investment rates of return and the fund payouts rates are known constants; however, formulas for relaxing these restrictions are also developed and the consequences are examined with Monte Carlo simulations.