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grin007 [14]
3 years ago
9

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 s

aving $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
Business
1 answer:
Novay_Z [31]3 years ago
3 0

Answer:

Total amount collected = $94,400

Explanation:

Given:

1st investment = $25,000

2nd Investment = $35,000

3rd investment = $45,000

Computation of total amount:

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 \\\\

Total amount collected = $94,400

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The present value of a prospective sum of money or cash flow stream given a specified return rate is known as its present value (PV). The present value of future cash flows is reduced by the discount rate, and the higher coupon rate, the lower the present value of future cash flows. The key to correctly valuing future cash flows, whether they are earnings or debt obligations, is determining the appropriate discount rate. The concept of present value states that a quantity of funds today is worth greater than the same amount in the long term. In other words, money gained in the long term is not as valuable as money received today.

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