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You are planning a special wedding three years from today. You don't know who your spouse will be but you do know that you are saving $25,000 today and $35,000 one year from today for this purpose. You also plan to pay the final $45,000 of costs on your wedding day. At a discount rate of 7 percent, what is the current cost of your special wedding

Respuesta :

Answer:

Total amount collected = $94,400

Explanation:

Given:

1st investment = $25,000

2nd Investment = $35,000

3rd investment = $45,000

Computation of total amount:

[tex]Total\ amount = \frac{25,000}{1} +\frac{35,000}{(1+r)^1} +\frac{45,000}{(1+r)^3} \\\\Total\ amount = \frac{25,000}{1} +\frac{35,000}{(1+0.07)^1} +\frac{45,000}{(1+0.07)^3} \\\\Total\ amount = \frac{25,000}{1} +\frac{35,000}{(1.07)^1} +\frac{45,000}{(1.07)^3} \\\\Total\ amount = \frac{25,000}{1} +\frac{35,000}{(1.07)} +\frac{45,000}{(1.2250)} \\\\Total\ amount = 25,000 +32,710.28 +36,734.6939 \\\\Total\ amount = 94,444 \\\\[/tex]

Total amount collected = $94,400

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