{"id":4368,"date":"2021-01-08T08:45:21","date_gmt":"2021-01-08T13:45:21","guid":{"rendered":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/?p=4368"},"modified":"2023-08-29T14:38:19","modified_gmt":"2023-08-29T18:38:19","slug":"how-to-calculate-the-value-of-an-annuity","status":"publish","type":"post","link":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/?p=4368","title":{"rendered":"How To Calculate The Value Of An Annuity"},"content":{"rendered":"<p>Lower volatility offers protection against a down market, but it also caps growth during hot markets. For example, you can purchase a variable annuity that is also a deferred annuity, which uses an annuity&#8217;s due payment schedule. As you learn more, mix and match the different annuity types to come up with the annuity that best suits you. If you aim to save $2 million by retirement, then you&#8217;re right on track. Use this calculator to find the future value of annuities due, ordinary regular annuities and&nbsp;growing annuities. The trade-off with fixed annuities is that an owner could miss out on any changes in market conditions that could have been favorable in terms of returns, but fixed annuities do offer more predictability.<\/p>\n<p>Perhaps the earliest annuity most people have experienced is the school allowance. Then there are the apartment rentals, the cellphone staggered payments, the lease payments on a car, etc. As long as there are recurring payments, that may be considered an annuity. In this context, an \u201cordinary annuity\u201d is the same as an immediate fixed annuity, meaning that the holder of the annuity will begin to immediately receive payments for the rest of their life. The calculation factors in the amount of interest the annuity pays, the amount of your monthly payment, and the number of periods, usually months, that you expect to pay into the annuity. Paying fixed rent each month represents another example of an annuity since it&#8217;s a regular series of payments to your landlord.<\/p>\n<h2 id=\"toc-0\">Annuity Due Future Value Formula<\/h2>\n<p>Many insurance companies sell lifetime annuities to retirement-age individuals. Sometimes, lifetime annuities may be transferred to the buyer&#8217;s spouse upon the annuity holder&#8217;s death. While the contract is in force, you may not withdraw your money unless you pay a penalty or &#8220;surrender fee.&#8221; Some contracts have exceptions allowing you to withdraw partial sums at fixed intervals. You may also be able to take out a loan using your annuity as collateral.  Fixed index annuities accomplish this by providing a floor and a ceiling for your investment returns. For example, a contract may state that 0% marks the lowest return you can get on your investment.<\/p>\n<p><img decoding=\"async\" class='aligncenter' style='margin-left:auto;margin-right:auto' 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NATSCYVbCEXQEDQhNAuacHoH7RQnTaxn7R\/Vb4+pUiaLJ2XVkIQndBFLPHC+NsjrGR2VvtKidX07L98nvFlmi5JG6hxyMvwuVzNJIvpIyPrDZUxhcxpaKRtnSx5nSNLi3MXanUINN1fTiBkwc5zH3tlaTtuuX4lSMZE8ygiYXZYXzKpJQVDYYWQNDGDNxIxKRcnY5kUWFywuw8vLT5s17Xa332sg0IayGaZ0Ubi4t0JsbX6XU0ufhu4WXPbTNss6KjqYsTdPG1sUTsxeA+4kPI25FaEJkMTeMGiS3eDTomjKgxGukirJHxQNFMXNNnEkkC6tUGKU9YxjRIBLww9wtb3riOglZS4hGS29S9zm69RZRnDJHSUxu1rY6V0LrdSAgu09dT1MnDifdxGYXBGYdR1RJVtiqpGSSMDI4uIRbUa7+5UsLoJKZ8XHiGaJmQScUuv7hyXVbQSz1FVI0ttLS8JtzzvdQWGYtRPzls18jc50Po9VM+tp4zZ0oFmcT\/b1VLs5zqiJzw3htpnQuHtNlUgweqdQVMVTK0zPYIoyOTW7XVGqzEqVzJH8TKIwHOzNINjsbKKpxiCmbA4skImfkHcII+5QQUB4MxlpGmR7Awh0xdmHT2LluH1vmkNy174ajiMY997N6XTRemxajp3ubLLlLQC4WOl9iVJBiNJUOeI5QeGMxvpp19ypVGGzTNxLRmaqja1uu1hqnUYXJNJJZzWtfScG46oLkeI0sjXkSEZW5zdpHd6j2LmPFqOTPw5MxazPax1HsVKLDJDTStfCGzGAxNeZi6\/3HYKw3D3+c0z+6Gx0zoj7zZBYw2ujxGjZURtc0O5EbLmLEYuBG+WRrnSEhvDaTex6IwmCamw6Onna0OiGUFpuCOqonC6huHQwsY3jxlxbI2TKWEn+YQa81RFBAZpXhsY1JKgZidJI2Vwm0iGZ9wRYdVXxtknYj2nvyd0H2m4UEmHVdUKuSZsTHSwCFjWuuPeUF8YpScJsgku1xs2zSS73BN2J0bYGTGYBkhytNtz0UNTRztqKSopmsc6FhYWE2GttR8FDDhUzXUznlhc2odNIAdBcHQILMeMUMj2NbOCXuyjQ79D0XYro2cczSMyskyANBJv096qHC5fN5WDJmfV8YfZvdN+HScOqDomycWfiNs\/KRoLG\/VEW3VY48LQ9oY9jnEOBzGyUGKUdTKI4pg5zhcaHVVY6Cr4tNJNI17o4Xscb8zsuW4fLBDQkhv8AyzHZ7e7kguw4lTTTiKOQl7gS3umxHW6hrK2aKubTwiDVmYmV+XnbRZuAuyzU7XszvMRAcJM2QdCLaLRxSmmqmOijpoZM7bCR7rFv8lR1PiLoapsTmsy90O1173MewK1TTmoa6TLaMnudSOqrPonPiggdYsY0B7+brcksPpJ4J3OkPdsR6V82twbctNFEWTXUzag05kHFG7eYUYxOkLXkS3ytLttwOnVQige6oxB5IHnDQ1ruY0soKDDXxsY2eI54ojG15lLhtbQILtHidPV08UrXZeIcoB69FLJXU0TXOfM1oY7I4nkeiy2UdYygo2iJnEpHg5c2jwBbdDcOqZGkzMYC+rExaDcWQaD8UoowC+drbtzC\/RW2ua9gc0gtIuCOazpaJ76+omytLX0\/Db77lTULJ4IKeBzG5WRAOdm2d0RFxCEIHZCSaASOyaR0Cl+CEoTSK87QQhIlNVmhFkwhVsJoshABNFkIBOl\/Z\/7j+qEUn7H\/AHH9Vvj6lTI5ppLqyEwjkmgVghU8SqZKUU8jD3DM1kgtyOn6qmzFpRiFYyUAU7I3Oid1LfSQbKFhjE6mGem4zJJc9NxHMjbzv4LQdiTPNY6mKKSSORme7QNB96C6hZna2avpYYoXyRVEXEDx0VqoqBFWU0ectz5u6BcOsEFlCr0VY2tj4kbHtZyc63eVN2JyOqa6nEL2cBl2yW02QaiRWZhmLNqIoI5myMkdDnzvbYOtvZTU2KQ1MzI2se3iNLo3OGjwOiC6mqNZicVJNwjHK9+TPZjb6LmlxenqpY2MbIBK0ujc5tg629kwaQTCoR4ix0\/BdDKx5aXtDhbMBvZcjFqeenldA93ciL3OAvk9h9vsTBphdLMfi8UAaxzZZXiJshLGcjzUlNi1PUSBjWyNzMMjHObYPA3smC+mFUjxCCQUxbm\/5i5Zp7LqsMepiWWjnIkJDHcPRxHIJg1UBV6KrjrYTJGHNyuLXNcLEEKtFjNNI+MBkoa9\/DDy3u5ul1Ro2B3F01myYrE+Gp4fFYIQQ6TJcAj9VN2gwTtp2skleAC8sbo2+11BcTVHtWAT8Oz8vE4fEt3c3RTzVUcM8MT7h0xIaeVwiJ0Kg7FoO6I2SSOcXBrWjU23PuXUWJ083AyF15nFoBGxG4KKuXSUVPUx1DZDHf6N5Yb9QqwxalPm4zEGoJa0e0dURdDWg3AAv0CazXYxBZuRskjnOc1rWi5dbc+5OLFqeRsRbmBlkMYBGocNwVRooWPWYobxCnJBFU2F9x8VDiGN5e5TNkzCZsfEy9299RdQb1wi+iyMWr5KNlO5hNnTNa4AXJHRdNxmB0L5CHtLHBhjc3vZjsLKo1fchUaSuZVB+VrmujOVzXDUFWQ9REyYKhEi6zhBImo8wTBQdprm66CASOxTSdsVm\/BEkmdFyuDQuhFkkVnhMIQFWzQknyQOyVkIQMopf2R+0UiuqX9kftFa4+pUySAmuzICN07IQV66lFZRyQF2XOLBw5Hqs+XBDJR08IqCHxE535fTB9Ifete+qLjqEwVXUd6wTh1rRGPLZUn4PIYIImzMIjjMZD2kjXmB1V51cxr4WOY9pmkMbb9QL3RT1rJ2xuZG+z3ObfpbqgrQ4ZJA+hdHM29NHwnXb6Q0+GytT0pmrKecPA4ObS29xZWLjqE7i9gRdQ1RoKB9LUzTOcwCQD6OMENv196TqCR1XUyNlaI6iPK5pGoNrXVx00TZmxOeBI8EtbzNlJcXtfVBnDDLeagvFoYXRGw3uLXUeHYc6iLGuEDhG3K17WWefetQrkkWQU30ZfXOqM4F4TFb3ndRQ4YY2ULRL\/hY3MuBvcWutBBIAudggy6TCJ4KiOYzRl8cbmA5TdxPMrqnwM08NTHHPpUxFslx+\/8AW\/mrlFWMrITLG1zWXs0u\/e9qt5lTVJuGkPkdxB3qZsG3TmnHhpY6kJkFqeB0R03uAL\/yVuSaOGMySvDWDclc+dRirZTa53sLx0sCgo0mFVEUtKZahjo6YODAGWJBFtVLBhRiiomcUHzZ5edPSvfxV4yhsrI8riXXNwNApEFeipTTNnu4OMsrpNOV1lYbhtVLTU4qJGthjmdKGZLOvmNltRyh7ngNcMhtcjf3KS6ozzhruzqmlEgvM9zs1trm6bKGogrXzQTMDJQ0SBzbnQW0Whoi4te4UNZcGE8Cpc8CB7DIZAXsu4LryggfPhx4GbjtcDGWjUG6vmeJszYi8cRwuG31IUlx1CDLGGSQ+avpZGtkgi4Zzi4cDv8AzXIwiWOKnMM7RPFI6Quc24cXb6LWvpulcW3QUsPpn0MEjJJBI58jnl1rbrJnwdxdUFtRYudmh7v7LW5\/mtqomjhjdJI9rWDclVZXjroiM\/zJ8LaV1NK0S07S3vjR191GaCVsMRjnb5wyYzFxb3STvorb5QFGZwiagZQyBreJO17hUidxy2v7Fw6gqCDE2oYIOPxgC3vb3srBnA5rgz+1E1LiEUlWIeFKGPikEgJFxoqj8OklilMsrHTyStkJy93TYKbj+1Lj+1QW6IebscDHExzjc8MEX+KtccLL849qYnvzQagmF13xuhWUJvauxPruqjVbIu2vWW2e\/NSsqOqDTa9StN1nxzBytxOvpdBOk7YoSdspfio7JWXV0jrsvO2RSO6YFghBnIQgKtmEJIQCaSaBp037M\/aKSdL+zd9orXH1KmTCELsyEITV0Z+MNlFPHPA0ukgkDw1u7hzHwWZSw1Yq4oJGyGOWQVLnHZu92\/Gy9GlZSrrBihmz0Zcx3drJHG42GtlzSxzMdh4yPAE0xd7Ab2ut4lckomsClpXxdnzgSCUzOEhJPo6\/y2XOFFktfC+Z+V4fJlu115Drz2Nl6E6jXVVYMOpoZGPY13cJLAXEhpPQclFVcQhi7cop5Y3FmVzS4Amx0tsqTA8ljbSjEhU3JIPo367WsvSJE2RGV5QStY6izl4iM9n5L3IynoqEcmSjf9E51M+ptHxM1mNtuRva62542Svje8XMTszfYbWXWZB5+OWekw1lbZ5FPUOu3UXYfetaihd2SGT3c+Vpc+5662U08MdTEYpRdhIJF1OCOSo85TwtpqPDWzskbTEOMoF\/S5XspY4pZoaSNxmELqt2UXIPDsbX9i30AoKOOQCTBZY2sJyAZQL30IVc0sNVX02Vr\/N20rstiRrdbAKkaUGNRcc9ncR0gtBJmOtx0+9WsDcW8WGweGAfTAEZ\/ffmtIFdhBgVTZpG1LBxAHVrAC0kHLYXsnJTSwCvbTiTLA9ksTbk3sLkBb9k00ecmNTNRisyvayeoBe1wPdjGguByUjof+nkipu3jZ2t4bsh09G29l6BOwITR54RxvxLDqqamdFmiIsASGuuLKJ1C+SJsp4wkNYQSHHRmY\/yXpk1R5ueKeCCtigDxC2oZpqe5YX9tk5IXnD3thlc5klRHpGHNyC4va69GuXDRQeUxGjLabE4I2PMbSx7G3J152Vtr4hTM4FxHbS4I\/Va02gKx6xxBUSq0stlXdP7VXq5yxrj0C8\/LiNRnIz6Jazj0bqnXUrg1TR+8vOiokfu4q\/SYXXVkQlibdh5l1lnTGga5g3eEjiEY\/eUTPJutd6To2+9ylb5MTW707B8VdXB2hH9ZMYhH9ZP\/hd38S38JR\/ww4bVI+Cm1MdjEI9s6kbXMP7yrO8mZP4hvwK5\/wCHKkbTs+JV0xoMrG\/uuCnZVX5rGdgNe30Htd7nLh2H4pFsxxt0N1NMengqNRqtamfdeBFRiVNq+JwA+s0q\/S+VE8FuLC1wWpUx7oFB2XnaXyuon2EzHxHruFsUuI0laP8Al52vPS+qnV\/FieyE9klwbC55ropK1GahIJo6BCLJoEukWTQJOmPcd9ooulS6xu+2Vrj6lT3TQhdmTQhJA0jsldIlBw82XBcm5RlB2HLoOVclMPUFjMk4qMOSe8AXJsEA4rguUbpow7KXjN0uguREgfZdh91WLkhIM1r67oLoK6BVVsqla9FTArsOUIdddByqJ2uUoKrNcpGuTROEwuGldhFdIQmgaEIQJI7Lpcu2RFSfYrBrXalblQdCvP4g7dZ0YOISd0hYMv7Ra1c7vLIf+1KlFiEaL3+FxcHDadnRgPx1XhaKPiSxs+s4D+a+itaGtDRsBZIBFkKCeqjgexrybvNhZESrm4uUCWMhpDhZ4uD1TsFRzfVNOwv7UWuoEdUtl1ayEQuSjkp4ZBZ8THe9oUp0R7kHkvKGnipquMQsDA9tyArHkh\/+Zj9x\/RQ+VZtW0\/2D+qn8jx\/1hnuP6LLT3xSTS5LmoStyTKPeqjMQmkUdDQkhA0BCAiGij\/Zv+2Ul1Rj6N\/2yt8fUvxOmkmuyBcldLl2yg5JXJKCuXKDhzlGXLpyhJ1QMlK64LksyI5qJCHwty5g5x0+5Rua5xlaS49wEa6EqUkG1+SC6yY3OsmE4kzMd7CD\/ACXMspY24y\/7jZBeonvRN0xKXNB0+5QST5JHOyuOgAsE3SKIyCxuoRZE5IsAQbc0RyvbqcwBAB1ufeqgk1upGy67oau8R74w2xN78\/hdXWO0GqzGSq1HLqhavtKkBVZj7hStKqLLCpmlVWFTtKCZC5BXQVDTSTQC4fsuyuH7IKVRsV53EOa9DU7FedxE6OWaPNVpu+yy3ftCtKsP0izD+0KyNrAIuLidOOQdm+Gq90vIeScebEc31YyV7UQ3aNd\/Yr8ZqG2qgqaOKosXtGYbOtrbor3AN\/SCDAfrBNTVM08bo2xgWa3QAclz5oy51fv1V3gO6hHBd7FNNUn0zXH0nA2AuCuTSaACV4PW6vcF3sS4Tuipqk6neTcTPAPII4L7H6V11c4buiRjd9UoaiboBfU80HZd5HdCuC5odlLgHHlfVNHkvK0\/87B9n+qteRbc2K36MKp+Vp\/6jEOjB+q0\/IdhNdK7oxYae0TG6AELCiwQdkrI2CqMxCEwjoSE00CsmE07IOV1Rg8N\/wBsoTo\/2b\/tlb4+s1MhOyAuyBcu2XRSKghcuCu3BcHZBw5V3nVTu2VeRQRkrgvScVC59kRLnUD6nV7W6FvM80nSKs+133\/eN0WLJmBF+qhM4O1\/vCr5w1oaDoBZRFxvfMSgmllOU5d1AH97Uuv7SuXPUOa1ze6lWLQlXLqtsftKpumJ2ULyVi9NThcdiExPdOUK3R4m8OtN3m9eayWbKQaLPqt+Y9fTzte0Oabg81bY4FeSo6x9ORY3bzC9BS1TJmZmH7ui3LrnecaTXWKsRuVJjrqZjltldBuuwoI3XUwVHYTSCaAXLtl0Vy7ZBRqdivOYl+8vR1HNecxIauWKPLVZ+kKzd3rSrNHlZzO89Yo9h5HRd+okI2aGr2IFmj3LzPkezLQzvPN4HwC9KJ4iPTHxWrHPp0E7JCRh\/eCeZp5hRgWSXVx1CVwiOUiNF1cIug5URljzFpeLjfVSu0WcXRkXtqbnfqVcFkyxlt+I23vWM8ibG47EEDXT3LQfkBcbbX\/ks3D23xQkDRrCpPrcYXlYb4s0dGBb\/kKzvVL+jQF53yoObHHjoGj+S9V5EMy0dQ+25AR0ekSTKFzUJIvZCoy00gmjZosldCDpMLi6eZB1dOj\/AGb\/ALZXF11Seg\/7ZWuPqVZSQmAu7IXK6SKCJ4UR3Ur1EVBw5V5FYcoJAoKcpsVWe5WZlTlKIie9QPkTkdZU3y5vYgU1RY2uoxOVHMwv23ULSWOyuXHrux6eOJYsulcdkrF26bXNsgPCxe63\/wBcGVRyekApHSADdVjJmmCzq4stbdd5bJRkKQrTKMmxU9LVPgfdpVd5suQ7VNxmvUUWIsmIaTlf0utVjrrw7JCCCHWI5rcw7GBcR1JseT\/Fdeetcry9LCdVaaVQgcDYg3B2srzNl0YShNIJqgXL9l2kdkFCoG687ie5XpZwvO4oLkrNHkq30z7lnQj6Qe9aNfpI4exUIPTusD6D5LMy4O0\/We4rVMMTt42\/BZvk3JH2NC0Pbm1uL7arV5aLbKE00V\/Qt7iQl5swbOkH+8qdLmoiLgHlLJ8UuC\/lUSD4KUg39LRLXqlMRmGW3+Id+FLhz2\/xP\/8AP+6lOa26NUwxDw6j+IH4P7qPzeUgjissf\/1\/3VtG+iYmKTqOVzbGZny\/7pUdD5rM+UyZy4W2tZXlyeaK+f467Pj1R7HAfyC9z5IRZMILrek5eCrTxcamdv8ASH9V9J8n4+FgtOOZbdT\/ABavJLopLi0SPeiyFdGWgIQFWghNNUc2TATsmouFZd0uz\/tn+iS7pfRf9ta4+pUyEJLuwCVyV0korghROCsHZRuaggKieLqdwUTwoKUzd1nT6LVlGix8VkMMYDd3FS0kUp5BtdVrXXUcZcblWRELLh1\/SvRzxFQNJKiqqcuZcbhX8gulLYNsdQudrrzMYTZHt5rk1DwdV0fSPvXJaHKu142fjk1JKiE5D7pvhO7VCQQdQukkeTv1z9asFSCBqr0erLrMw9rQ3Od1o8UZVmrPiKR3esk0rhxzOJXTd1krs3XbXdUrJtYSdldMamG4rNRED9pH9Un9F6rDsXpK2zWSZZPqO0K8Q1hA2SsWuuNCtz+jN4fTGrpeSwTH5YntgrHZ4zoHndvvXrQQQCNQV3l1yvNgsghNBRFOoG687io7zl6Sdedxc2us1Hi6996kj\/SqtMLyAKWsN65\/uUdL+0CyLnmjr3jlc1dsdiMJ+irJR\/vK5NW6OoaxkecjWxVqWqqpIsww+zSL5mi6uoTMTxqLape73kFTM8osZZ6Qa73sVTjhsRe4WtuCnBiLGtJNK6QHYkJovt8q8Sb6dPGf9pC6HlhVN9KkYfvKz2VQlkIyFnsISfWwxzBkgLrbgBNGoPLOTnRt\/Guv+MiP+z\/96ypqyjcRwmFg53ah74mMzuy5etk1Mav\/ABkCP8H\/AO9P\/jPT\/Bn8f9llMqcP4XfJEnKw0Sa6J7czcpHUBNGmfLN3KiH3v\/so3+V9U5paykjbcaEklZpliBIu1NrmO2sVNFelD5aoPcNXFfWqOLhUULB+6wD+S+cYbFx8Tp4wNC8L6bazbdFf8HHNBSIQuTQQgjVCDKTSCarQCYQEBA00k0U11TbSfb\/ouLrum2k+3\/QLXH1KnXJTSXdkIQkoBcldIQQOBULlacFA8KCq8LGxqP6NjuhW64KhiMPFpnttra4U6n4suV51jrKyw3CqAWKsRnReWvXE4Auo54w5hHVSDZcSHRZrUedewxyuY7cFCmxQWlEjd+aqRzA6O0Ws2a6c\/wBJ8qVcujDuSkAvsk0HNfWyRv8Apk5KAmO7SDZWBZw3XVmub3re9Ry0z2m7Tot48bq9lJGqzbjdWYtSs0WWNurEUVyuIm3AV2GI7rFbkNsVgoZYdbq4uXi6mtWKsbBdeywGpE9C2Muu+LQj2cl5ICxWngEjmYo0DZ4IK6\/y6\/XLubHrEJrkr0vMr1Gy81jBvmXo6k6FeYxU3DlmjxVWbV59yKXSULmsNq666p\/2yyLfDy1HFbZ1xYhaQxOXzfgBjg3LltpqFLgWERYk2Z8zngNNgGmy1XeSVPa7Z5gPeD\/RTcHl6mPiwuY3Qnqr+HYkKKkbA6C5F9bX3\/8ApVMbhdhs7oI357EAE+0KKmo6ypNontJtrcKyjSra9tZCGCHKQb5rWWQyPhVcj5AS12xAupWiWNxbKQdbaKCGSpqZC2EN9LKLojTM1PJSshGQODicxjN\/0WdWxF0bQ0XAdc26K1LSYlTt4k0ADBuVXqKkxua1rbudsgvUcWHyPBnnja0DY7qrLEwB4hIcLEAhcA1ThmFOXN6jVdCXLEXPGUjcIibA6ageJBXOyuuA0X1VyqosKjhe6N789jlAPP4LG85MovwS72qWF4OnDLPuQb3knDxcYiJ1EYzFe+Oy8h5Ew3nqJugDQvX8lr\/BwRohNcri0aEI2CDJ0TS0Qq26Cd1yndA0XSTsgFJT7P8Atf0C4su4dnfaWuPqVKhJNd2QhCLIBJdWSQckKN7VKVy4XUFR7bKB7Vde3RVntUHla6HgVTm8jqFEx1jZbGNU+aESgas39ywQ7VefuZXo4v4vxuvupC1pGoVKNxVtjrrlXWK88LCD3RqsSqoS12Zm3RekcAQq8kQcLJLhZrz8IkjdqMw6KVpuegWt5s0BZ1SGtJAW0vVzEMjiB3f5KalrnRd2Rokj5tKrNuT1Uogzju79FdObPlajKWnrRekkAd\/lyGx+4qMU7oZMr2lpG4Ky\/pIHcwtekxsPjENdGJWDY\/vD71r8peLP2LcDQbWV9gLWqCOCOUcWhl4jebSbOCkbMW92RtiOq5dc0lP95MjRJrmvN2kFN5sFhpC4LZ8nKbNUPmOzBYe8rG3Oi9hhFP5vQRi3ed3iu38pt1y7uRcQU0nbL0vMo1R0cvL4mb3C9NWHuFeVxJ9rrNHj8Q0qbrqm\/a3RiGrz7FzTH6QLI2aGufSSng1XBzb8x8FoyeUVU0WjrWPN7fswqmDRwmFwkyF+a\/etdak0FHlZZrL5e9mtumQYFbIap7pJ3ZnuNy5SwPljizR1ETdNQd\/5KJ8cclfG02MRfY9LLdiwrD3AmWADUWsEkSsLOX6m33BdUdLKxxfT5CC69nG1j7FZxOlipWNMLMhN9F1hWGwVFNG+ZpLnHV1zogdTLWGIipc0tcRfv3WbLDmlZICLs681t1GD0sJJjke4WvcOJCyaWn87rTG97msa2\/dO6DRgraujhMfm+Vo15GyzJW8Vjm7ZhZbjsBvFfzyS1rkZ1jV8ZpXBjHEnTUp+gpM9KwNdTucdvQDgfipKiUTFv0LY8vRuW6u0+FzzZR548O9LW1go66inhY4yz8Qxm1iLIj1XkfDw8Lc\/m9\/6Le5LL8mbdiwAe261eS1fg4KVkykuLRpIQiMhMICaroEwkuggAmhNALqHZ\/2kgnDs\/wC0tcfUqVFkBNd2AEICaKEk0IObIsukkVG4XCryNVshRvbdQZ08QkY5jho4WK8fLGYqh8Z3abL3Mka8xjVPw63OBo8X+9cv6T8dOL+qUQVpmirMuCrMeoXmr0w3aBQPcVZI0UL2rIqzSODdFly3e8rTlbdVeFd+y3KxUcEV9wr0dOH2G3tThi0V6KLRLSRQkgtpM24+uB+qoVFIYjdouFtVEcrBdgzt5jmFWiYDfhPJ6xvV2VZsrMpJnwzBzZTGeq3RiMdTGIcQaWnlKxUJ6ESXMfdcN2OVEulpzkeCW82uWp1Y6WTtryQVdGONTPFTAf3ma\/EKWDEY5+67uuWZR1s1O7PSyEHnGf8A5qr7ZcPxLSZopKo\/vt2J9oWs56cbOuWrh8PnFZFH1dr7l7UAAADYL59TTV+BTtmLG1EPJ7dRb+i9ZheP0eJNAa8Ry\/UcVvnnI5d3WquXbLpcSeiujmza42YV5XEzqV6fED3CvJ4k7UrFHm6zV7\/YFFSHvhS1GsknuUVELvAWUWWTuc4FsJe2\/wAVLxy6U\/QFgJ+CloY3RWDI3Pym4LeSt1k3HmL3xGN5Avpa\/tVGdNO2MgEEk8k2VbwO62UAdLpSxXqGSDUN3C04p4oqZ0fDf3gQSWlUUePnZncSeuZRxVwjuYnSNB+qSFJNGHxvazmLBd4c2mYWedA5W7tsdfvUQm4hJN3TPIb8iSuRVCnku2TI\/qCpZeE9142sFtLNVSOAGse6WwbbQu2QXm4xMdPOW\/hb4KOV5mcXPJJPNW5qHDRDIYpGOcPQAdusqre6ONrWGxJsEo2I6mvaxoAzttpdnL7lBVVk8rSx+Ua6gDmqcfnQbZtTINNkd8em7Mb3uptR77yQmMuGvb9R9h8Fv8l5nyG\/wM\/2x+i9O70Vq38EaEJFcmgjfmiyFYjJTQmjoLLpIJoBNJNABdQbP+0uV1B6LvtFa4+pUoTSQu7JppJoBCEIFZNNCDkpELuy5KghkbosnFqQ1FOcgu9moWy4XUL2LNmrLjxQ3U0ZsFcxei4M3FYPo3b25FUWleXuY9fF2J73CikXTSm4aLm0quZdcti1VnKmGLUZKOOytMbYLhqmapaCwVapoRKM7Dkk69VcG66Cy0ymykP4NU0h\/J3NFRStkb3gHMOzh\/8ANFo1FPHUR5Xj3HmFmudLROtIbt69VqdKyKmifC7M25byKgdM82zauHPmvQgxzM7pAvy5FZlXRd4kD7ua6Rd\/9u8PxmemGUuzM5sdstER0GI\/SU8nmlRvbkSvNPjc1SQyuZz0XSduff8AOX49dh\/lFV4bOKWuInjGgcDqF62OpjqoGywuDmuXytsj3yteALjqF6\/yXrS\/PE4Bo3sFqf0luM9f8fvnn01MRPcK8liR1K9RiTtCvJ4kdwrXmYUur5PcoqU2zEcgpP3n+5c0NsxJ2WRew6kqqxzRFOWufyU9TQ1dHMBUS5yR79FHS1EUZ7lQ2O2ykNVxzrIHqopyyyGpEUehtfVWHdoOp8xkHDBAtbmjLEaljnPbGdi47WVx0jBBlbUQPaDfKOu3VBQkldFAXuHeC6pKit2jjY4v2BUk0bZY3B2gPRWaBpY1r2GIlm2YkHREUmySuc4yMy3PIqJtXJx7MhEmU6gq4\/Lc90XvuDdc0lMTNIY2Z76kXtZQcySzENc+i4Qva4UNTGZQ0jdputWufPJrM14aToCQQNFkVTnCWONhsXc0F2GV0bC6PM24sbt0UEp0uuBFUZLcZxaPYuZcwZ3jcqVHuvIX\/BVB\/wBTf0Xp3bLzPkMLUM\/vb+i9O70Vu\/CI0JpLk0EITVgyE0l0jYTSTsgYQkndA11B6DvtFcrqH0HfaK3x9SpbIQhd2QmkmoBNJNAIQmgSS6QoOCFw4aKVckIqlUwNmidG4aOC8rNC6Cd0btwV7J7Vk4tRcaPiMH0jP5hc++djfHWMMEKQaqEaGxUrTovNY9GnlTDSEBSixCzVchqlA0QBddgKAAXQCAE9As1oKCVjXNIcLhTHZQSFFZU9I+J5fA7L7OSGVgP0dXECAtB2qs4ZhsGIVRZMy7Q25I0XTi23C9TP1nRYfFXte6mGYt1yk97+6yJ6VzJS3IQWnUWsvo1BgNLQzcWIvJ9q0HU0D3Znwxud1LQvT415\/wDty7Hy6OMCE2BzFek8lqCVjXTyAgHZemdhVA6TiGljzdQFK9jY2ZWgAdAs8\/zy69H9f+X648yMXE\/RXkcSOpXrcT2XkMSPeK1XhYzfTk9y4p2F0cgbvZdx6mT3IpHiON7+ikStPDqGmmyicgC2p53XdRRU8FQ\/zfVgPddtcKOKvc9ovQB1huF1502WQAU5h0+KqJsIgZNWTukaHBoAAK2n4dSGAPMLLlxFsoWLRVLKepceKxmYa59loyYrDwrtfC917ZQ4q7+Iy8TiaybhMFmlwFlr02CUsxbGIW5rblZNS\/iv4jiA6+YLVpcTdww+zWuA\/dfv9yhVWtoYaaEmJuU3sdVXwugZVwvllc++awyusrFVWCoZlDSBe9yblS4UHwU1uHnjJu0tcL\/fdIjuTBI4chLpO8Li77rEnhJmZIN2lejqq0thDnRvs0ZW7W\/VeXqXPfWNiY4tFrmyVWg2WSKJ7W5gyQWddh1VGr0C7LKgixqXkdCoKku7ocblRH0DyIbbD5j\/AKh+i9I7Zef8jG5cMkPV\/wDRegfqtdfCOEIsiy5NBHtQhBjroJBC026TuuQuggE0k0DAXUHou+0Ul0yzQR1N1rmyVMdlCA4J3aunuJgTSzNTzBPUMNCM7UswT1DDQi4TuE9QwIRcJ3CeoYVkrLq4RcKeoYjIUL2KzouHZU9RcebxWh4RM8be6fSHRZrV66UNIIOoXnMRpPNZc7P2btvZ7Fx7kdeOv8VgpQVE03KlaVxrtEzV1suGldXWVjq6CVymdllsnO0Vd7lK\/ZVXu1Qdg3W75NM1nk9wWADovR+ToApHHmXLr\/L\/AMnH+nxthdLhp0XYXq2PNhKKbZTKGe2XUpeoYwsU9Erx2JHUr2OKlobuvG4m4EnVYtMZMP8A4v2U6SISwvYTZEPoTn\/SuI3OZSksNiXAXUjLfw2t8yvaO5IAv7k6uUVU7psmUutoqtJhFZVMc6Kf0ACcxshkM9PI6OZ2axt7loW8Ep2SuqJJGBxz2FwtibDIGwxyGKM8S\/LZYtDWRU0sjeMxgdqQ4XF1dkxWO7WwvjkJ6E6KozKiFr8Qjgt3DIRb3LaZg1HKHDgsBa2+26ynPHHZKXNDw+4J2WxFW90kOiGljaT+ySlZmI0sVLEDE0t9l7pYZhkU9I2WV0he4nZxCdbUtqiBbK0C26uYc8w0kbHNDgNi1w\/RJiOZ8GZTueM8ocBsXXCxHxWrGy2JFrEDdehr8Qzg5mnO4WG1l5h\/EmrHMbIWhvMLN\/8Ag0OI9sZjLnhh3aRZZ1SLzMHtUzoakAOdO9w5EhQS3NVED1UH0ryQbbCCeryttyyvJZtsFj9ritY2utW\/ixzayLJnZILmoskQukKwYqEJo2aEApqgC6SGyYQCYQEKB2QhCBpoCAEAnZCeysgLJhCEDQgIUDSTRyQJcldrkhFQyNuqlRE2WNzHi4KvkKCRqg8tUwOpZi0+j+6eoSY662q+lFRAR++NWlYDSWOIcLEHULFjtz0ttOqkVdj1IHLFjpEoNggri+qd1jG3Mp0VObTZWnKtKLhQcRvuNV6PAZR5oQOTl5W9itfAqnJK6In0tQunLl38etjddShU4Xqy06Lo4JLqCfUKa6imFwg89iy8diAs7Ve7xGDiNJG4Xi8VgcxziQoMiI2hnPssrFA6nZTO859E7W6qoDlpZOpcAu2tzQQA7F+q7RzrYp8TpYy7LPKwcrhSyzQVDOJDKZCfS0UlLRUksZMrw13TRQPjZDM8M9EbHqqi1gVOw0Re9oJe43utKow+mBAMTDdoN8u1wsigr4acOZx2tbfRrhcKzJirHnJE+N5I3F9FdRQZA2pxOKJ4uwAkhbAwaifG5xp2d32LOp3MZVNl4jI3N+vsQtZtc1zS0SRG+4Emn6Kz4lY2JwR0cZEIIGW+purFDhFPJSxmRhzuF75iFFXPbVOdfRtrK\/RzuZTxBzGusNC1w1+5SFQ1GFRUgky5w5u4zXCyI4S2rc9oLg8cuRW1X1wlY8AHM7cm39F52BslRUSOErmBp0yqVWpLJJwGwvJEYNw0jmspw\/6hGOhVt9JUxEOkkl12zjdVd8Sj94UR9Q8n25MGpx1BP81pXVLCm5MMph\/oCuLNWHdASSuorrmkldCox10NEk1WjCaQ3TRTTuuU+aI6TSCaKEwkAmgYTCEJQ01yF0EAAugEk0AhNCAQgJlQKy5XaSCNyjeFOQo3BRVR4WHjNLld5wwfb8V6GRqrTQiSNzHC4cLFLFlx5mN+ikDlFPE6lqHRu5HT2hdZtFzsd5U4cmXKNtrJ3WK2Zco37bIeVGSsqrS6FcRTOhma9psWm67muqpOuqsrFe6oKttRA2RpBuNVosdcLw+C1\/ms+Rx+jfofYvYQSXAK6SuFmLzTdMhRsdc7qQLaIJYWvabhYHlDhzBhlRJa5awkL01ln47A6bB6pkbS55jNgOamD5K8Wpv9\/wDRaNHG19I0Ee1VaimmbSMPCf6ZvpsrlDNDwWs4jQ8cibLs51aaXgAZvi0JTOPCeeYBUgbcXSt12RGhglLG6ghzMaS\/ckK3W0FPEXt4bbgXBtYhZlLVS0rOGzK5g2DhspJa+SVpaWtbm3I3V1FGhpmVeKFsrQ5jGXsVsOwmiIuaZluqzYHmnquNGASRYg7FX+1QR+wt7nf2QZmLQtpzworgGwH3rRgwCmdCHcNxOl3BxVKsd508uNgdCPYtCHFsjA10bx1yu0KSpVeqw6KkhLosw12Jusunj83kkJvlebggbLWrq3zlga0OsPrFZ5UtEk1Q6ZrWvkLg3YZbLNjH\/U2AdVdI0UGGRmbHGN\/1BRX1Slbkpom9GAfyUyQbYAdE1hYAi2qEKhEIOyEckGQE1W8\/pP4mH8YQMQpP4qH8YVaWuSarCvpP4mH8YXQrKU7VEX4wgsBNQed0x\/8AHi\/GE\/PKYf8AcRfjCCwhV\/PaX+Ji\/GE\/PaX+Ji\/GFNVZQq4rKblURfjC7FVAf\/Gj\/EFfwTIUQqIf82P8QTE8X+Yz8QUEoTCj4sf+Y34rrix\/Xb8UMdpqMSx\/Xb8V1xWfXb8VfwdBNciRh2c34p5m\/WHxQNO65Dh1Cdx7FKGhIFNNUlyV0UipsETxoq7grblXkCoycVpPOIC5g+kbqPb7FgMedivWuHVefxek4MvHYLNce97Cs2Nc1Ew6LqyigddTjZcuneVG5pUZCsltwoy1c2lWRt1Ve2xV6RqgdGqlVm3C9NgOIcRggkd32ju+0LzrmrqCR8MzXsNi03C3K59R9BjerDXaLJoKttRC2Rp1tqOhWjG4ELprksXQuWlNKivPh9LUXMkDCetrFY9b5HYdU3LbxuPQXXognZXb\/iY8UfIeeN\/\/AC9flb01CtQ+SNQB9LWsd\/suV6sLoWV9VMecHknFbWpN\/Y1RP8k3fuVDT72r1FwlcK+qY8k7yVqRtJGVwfJisHOM\/evYoAvzT1THhZsAroQTwXPA+qLrPlp54TZ9PP8ALK+kpaHknpMfMRxXOs2lnd\/tspW0GJSnuYe\/3uP9l9IytHIfBBKvpMeAi8ncXn3jbEOtlrYN5JvoqttTNKC4EFepHsTupoaa5umgaEkkDvYpFF0iVR8LueqLnqUIWgXPUozO6n4oQgMx6lGZ3U\/FCEBmPUozHqUIQGY9SjO76x+KaEBnf9Z3xT4sg\/fd8UIQHGl\/zH\/iKfHm\/wA1\/wCIoQgPOJv82T8RT85n\/wA6T8RQhAedVH+fL+Mp+d1P8RL+MoQgYraobVM3zCn5\/Wfxc\/zChCB9o1o\/7yo+a7xT7Trx\/wB9U\/Nd4poTAdqYh\/HVXzneKfa2JD\/zCq+c7xQhTAdr4l6xq\/nO8Udr4l6wq\/nO8UIVwHauI\/x9V853iuH4jXSNLX1lQ5p5GVx\/qmhBGKupG1RKP95T8+q\/4qf5hTQpi7R59WfxU\/zCl59V\/wAVP8wpoTIbS88qj\/3M34yl53U\/xEv4yhCZDaXnVR\/ny\/jKPOZ\/86T8RQhMhtSR4hWxC0VZUMB+rK4f1UgxjExtiNWP\/Xd4oQmIfbWK+s6357vFHbWK+s6357vFNCuA7bxb1pW\/mH+KO28W9aVv5h\/ihCA7bxb1pW\/mH+KO28W9Z1v5h\/ihCA7bxb1pW\/mH+KO28W9aVv5h\/ihCA7bxb1pW\/mH+KO28W9aVv5h\/ihCA7bxb1pW\/mH+KO28W9aVv5h\/ihCA7bxb1pW\/mH+KO28W9aVv5h\/ihCA7bxb1pW\/mH+KO28W9Z1v5h\/ihCA7bxb1pW\/mH+KO28W9aVv5h\/ihCA7bxb1pW\/mH+KO28W9aVv5h\/ihCA7bxb1pW\/mH+KO28W9aVv5h\/ihCD\/\/2Q==\" width=\"253px\" alt=\"Calculate an Annuitys Present and Future Values\" \/><\/p>\n<p>Annuity due refers to a series of equal payments made at the same interval at the beginning of each period. Periods can be monthly, quarterly, semi-annually, annually, or any other defined period. Examples of annuity due payments include rentals, leases, and insurance payments, which are made to cover services provided in the period following the payment. The future value of annuity is used to measure the financial outcome of an investment over a specific time.<\/p>\n<h2 id=\"toc-1\">AccountingTools<\/h2>\n<p>If so, you\u2019re probably already familiar with the concept of annuities, even if you\u2019re not so clued up on the terminology. Simply put, annuities are recurring or ongoing payments over a period of time, like rent or payments for a car. There are a couple of different ways that you can measure the cost or value <a href=\"https:\/\/accountingcoaching.online\/calculate-an-annuity-s-present-and-future-values\/\">Calculate an Annuitys Present and Future Values<\/a> of these annuities. Find out everything you need to know about calculating the present value of an annuity and the future value of an annuity with our helpful guide. The formula above is for an \u201cordinary annuity,\u201d which is an annuity that involves making payments at the end of each payment period.<\/p>\n<p><img decoding=\"async\" class='aligncenter' style='margin-left:auto;margin-right:auto' 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\" width=\"256px\" alt=\"Calculate an Annuitys Present and Future Values\" \/><\/p>\n<p>You can calculate the present or future value for an ordinary annuity or an annuity due using the following formulas. There are several ways to measure the cost of making such payments or what they&#8217;re ultimately worth. Here&#8217;s what you need to know about calculating the present value (PV) or future value (FV) of an annuity.<\/p>\n<h2 id=\"toc-2\">How we make money<\/h2>\n<p>When you purchase an annuity, the insurance company takes a lump sum of money upfront and invests it, minus the fees it charges. The investor, in return, will receive an agreed sum of money at regular intervals over a period of time. To account for payments occurring at the beginning of each period, it requires a slight modification to the formula used to calculate the future value of an ordinary annuity and results in higher values, as shown below. An annuity is a series of payments that occur at the same intervals and in the same amounts.<\/p>\n<ul>\n<li>Earlier cash flows can be reinvested earlier and for a longer duration, so these cash flows carry the highest value (and vice versa for cash flows received later).<\/li>\n<li>This is where the future value of an annuity calculation comes in as a valuable tool for average consumers.<\/li>\n<li>The agreement is a contract that transfers the risk from the individual to the insurance company, or annuity issuer, says U.S.<\/li>\n<li>Because there are two types of annuities (ordinary annuity and annuity due), there are two ways to calculate present value.<\/li>\n<li>Single premium lifetime annuities can be purchased with a single lump sum.<\/li>\n<li>Andrew holds a Bachelor&#8217;s degree in Finance and a Bachelor&#8217;s degree in Political Science from the University of Colorado and specializes in finance, real estate, and life insurance.<\/li>\n<\/ul>\n<p>There are a couple of different methods you can use to estimate r, including graphing calculators or plugging in different values for r with guesses. If you\u2019re not too confident, you should contract this work to an accounting professional, as they\u2019re best placed to handle these sorts of technical financial equations. The present value of an annuity is the current value of all the income that will be generated by that investment in the future. In more practical terms, it is the amount of money that would need to be invested today to generate a specific income down the road. Continuously compounding interest will cause annuities to generate slightly more value\u2014although this also creates some calculation challenges.<\/p>\n<p>These annuities also offer an immediate stream of income; however, the payments will be based on changing market conditions, and your annual payment may increase or decrease over time. Annuities are a great option for people hoping to create sustainable cash flows in the future, and using a future value of annuity calculator is an efficient and easy way to determine the value of an annuity over time. Calculate the future value of an annuity by entering the payment, term, rate, and type of annuity in the calculator below. Find the monthly payment for a car costing $15,000 if the loan is amortized over five years at an interest rate of 9%. We need to determine the amount we need in the account now, the present value, to be able to make withdraw the periodic payments later.<\/p>\n<ul>\n<li>Annuity issuers make their money by keeping a part of the investment income, which is referred to as the discount rate.<\/li>\n<li>Because of this, ordinary annuities are directly affected by interest rates.<\/li>\n<li>First, we will calculate the present value (PV) of the annuity given the assumptions regarding the bond.<\/li>\n<li>For example, you can purchase a variable annuity that is also a deferred annuity, which uses an annuity&#8217;s due payment schedule.<\/li>\n<li>John Egan is a freelance writer, editor and content marketing strategist in Austin, Texas.<\/li>\n<li>Generally, the term is used to describe an investment product commonly sold by insurance companies and other financial service providers.<\/li>\n<\/ul>\n<p>This formula can help you make quick decisions when determining the worth of an investment. The future value of an annuity is a calculation that measures how much a series of fixed payments would be worth at a specific date in the future when paired with a particular interest rate. The word \u201cvalue\u201d in this term is the cash potential that a series of future payments can achieve.<\/p>\n<h2 id=\"toc-4\">Calculating Present and Future Values Using PV, NPV, and FV Functions in Microsoft Excel<\/h2>\n<p>Discounting cash flows, such as the $100-per-year annuity, factors in risk over time, inflation, and the inability to earn interest on money that you don&#8217;t yet have. Since you do not have the yearly $100 annuity, or $300 in your hand today, you can&#8217;t earn interest on it, giving it a discounted value today of $272.32. The second formula is intuitive, as the first payment (PMT on the right side of the equation) is made at the start of the first period, i.e., at time zero; hence it comes without a discounting effect. The first payment is received at the start of the first period, and thereafter, at the beginning of each subsequent period. The payment for the last period, i.e., period n, is received at the beginning of period n to complete the total payments due. As with the present value of an annuity, you can calculate the future value of an annuity by turning to an online calculator, formula, spreadsheet or annuity table.<\/p>\n<div style='text-align:center'><\/div>\n<p>For a brief, educational introduction to finance and the time value of money, please visit our Finance Calculator. You may be considering purchasing an annuity product and want to know how much your annuity would be worth at some point in the future based on what you can afford to pay into it each month. When you calculate the present value (PV) of an annuity, you&#8217;ll be able to find out the value of all the income the annuity&#8217;s expected to generate in the future. The articles and research support materials available on this site are educational and are not intended to be investment or tax advice. All such information is provided solely for convenience purposes only and all users thereof should be guided accordingly.<\/p>\n<p>Determining the future value of an annuity is critical when deciding whether to invest. In this guide, we will discuss how to calculate the future value of several of today\u2019s  most common types of annuities. An annuity is a fixed sum of money that will be paid to a person or party in the future at regular intervals. In most cases, an annuity will be paid annually to the intended party for the rest of their life. If Mr. Cash accepts P dollars, then the P dollars deposited at 8% for 20 years should yield the same amount as the $1,000 monthly payments for 20 years.<\/p>\n<p><img decoding=\"async\" class='aligncenter' style='margin-left:auto;margin-right:auto' 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\" width=\"254px\" alt=\"Calculate an Annuitys Present and Future Values\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Lower volatility offers protection against a down market, but it also caps growth during hot markets. For example, you can purchase a variable annuity that is also a deferred annuity, which uses an annuity&#8217;s due payment schedule. As you learn more, mix and match the different annuity types to come up with the annuity that &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/?p=4368\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;How To Calculate The Value Of An Annuity&#8221;<\/span><\/a><\/p>\n","protected":false},"author":74,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-4368","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/index.php?rest_route=\/wp\/v2\/posts\/4368","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/index.php?rest_route=\/wp\/v2\/users\/74"}],"replies":[{"embeddable":true,"href":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4368"}],"version-history":[{"count":1,"href":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/index.php?rest_route=\/wp\/v2\/posts\/4368\/revisions"}],"predecessor-version":[{"id":4369,"href":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/index.php?rest_route=\/wp\/v2\/posts\/4368\/revisions\/4369"}],"wp:attachment":[{"href":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4368"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/torch.cci.fsu.edu\/~pmarty\/5275\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}