Answer to the 1st Question Unit 1 IPCarla J. McCoy

Pv of annuity = Pymt per period * ((1-(1/(1+i)^n))/i)

PV = Pymt = 12000I = 0.12n = 10

PV 67802.68PV = 67802.68

Answer to the 2nd QuestionFirst we need to find the FV of $33000 invested at 10% per year for the next 7 yrs.

PV = 33000I = 0.1n = 7

FV = PV * (1 + i) ^ n FV = 33000 * (1 + 0.10) ^ 7

FV = 64307.66

Answer to the 3rd QuestionMary and Joe have $2500 in the account and need $10000 by the end of 3 years.

First I'll find the future value of $2500 invested at an 8% rate per year.

PV = 2500

Answer - $67802.68 is what would be required in order to be invested today to pay out Joe's Prize money over the next 10 years.

Answer - Mary will have $64,307.66 in her account at the end of 7 years.

Present value of an annuity of $12000 for 10 years at 12%

This was done by using PV = 12000 * ((1-(1/(1 + 0.12) ^ 10))/0.12)

I = 0.08n = 3

FV = PV * (1 + i) ^ n FV = 2500 * (1 + 0.08) ^ 3

FV = 3149.28

Mary and Joe will have $3,149.28 in their account at the end of 3 years, but they will also need $6,850.72 ($10000 - $3149.28) to even buy the furnitur

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

FV of annuity = Pymt per period * (((1 + i) ^ n -1)/i)

FV = 6850.72Pymt = ?I = 0.08n = 3

6850.72 = P * ((( 1 + .08) ^ 3 -1)/0.08)P = 6850.72/((( 1+ .08) ^ 3 - 1)/0.08)P = 2110.251

Answer - Mary and Joe will need to invest $2,110.25 each year in order to get $6,850.72 at the end of 3 years.

Unit 1 IPCarla J. McCoy

- $67802.68 is what would be required in order to be invested today to pay out Joe's Prize money over the next 10 years.

Mary and Joe will have $3,149.28 in their account at the end of 3 years, but they will also need $6,850.72 ($10000 - $3149.28) to even buy the furnitur

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

- Mary and Joe will need to invest $2,110.25 each year in order to get $6,850.72 at the end of 3 years.

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

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I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72

I will need to find the payment or (annuity that is required) so that the FV of annuity is $6,850.72