Question

Your rich aunt gives you a high school graduation present of $70,000. Her present is in the form of a 17-year bond with an annual interest rate of 5.2% (compounded annually). The bond says that it will be worth $70,000 in 17 years. What is this gift worth at the present time? (Round your answer to the nearest cent.)

          Your rich aunt gives you a high school graduation present of $70,000. Her present is in the form of a 17-year bond with an annual interest rate of 5.2% (compounded annually). The bond says that it will be worth $70,000 in 17 years. What is this gift worth at the present time? (Round your answer to the nearest cent.)
        
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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Your rich aunt gives you a high school graduation present of $70,000. Her present is in the form of a 17-year bond with an annual interest rate of 5.2% (compounded annually). The bond says that it will be worth $70,000 in 17 years. What is this gift worth at the present time? (Round your answer to the nearest cent.)
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Transcript

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00:01 Here we're given a situation where we want to save for education and we're told that we have a certain amount in the future that we need and we're asked how much do we need to invest at a certain given amount to have it ready in 17 years.
00:12 So what i'm going to do is i'm going to say since it's compounding continuously, that's what we're told, i'm going to say that a is equal to p e to the r t.
00:21 Now a, that's how much we're going to have in the future.
00:23 That's how much we want to have after a given amount of time.
00:26 So we're told what that is.
00:27 We're told we want to have 190 ,000.
00:29 So that's a equals p.
00:33 That is the principle, how much we invest now.
00:35 We're not told that, we're asked for it.
00:37 So i'm just going to put p e to the r.
00:40 R is the interest rate.
00:41 We're told it's 10 percent...
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