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Hey Chegg, I need help with this question for finance. Could you show how you ar

ID: 2729398 • Letter: H

Question

Hey Chegg, I need help with this question for finance. Could you show how you arrived at the answers for questions 1 and 2 and please show work (step by step) so I can understand it clearly and be able to follow it. It is very important. Thank you.

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1. We have an investment of $15,000 on which we receive $1,000 yearly, as well as $20,000 7 years later. Compute the i on that investment.

2. We invest $10,000 for 10 years. We receive $14,000 10 years later. The i is 25% annually. What is the annual receipt we make?

Explanation / Answer

Answer 1.

Let interest rate be i%.

Initial Investment is $15,000 on which $1,000 yearly for 7 years and $20,000 after 7 years.

Therefore, 15,000 = 1,000/(1+i) + 1,000/(1+i)^2 + 1,000/(1+i)^3 + .. + 1,000/(1+i)^7 + 20,000/(1+i)^7

i = 10.16%

Answer 2.

Let x be the annual receipt.

Initial Investment is $10,000 and we will receive $14,000 after 10 years interest earned is 25%.

10,000 = x/1.25 + x/1.25^2 + x/1.25^3 + ... + x/1.25^10 + 14,000/1.25^10

8,496.76 = x / 0.25 * (1-(1/1.25)^10)

x = $2,379.71