Calculating Present Value of a Growing Annuity with Monthly Payments

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To calculate the present value of a growing annuity with monthly payments, one must apply the appropriate formula that accounts for the payment structure and growth rate. The scenario involves a twenty-year annuity with initial monthly payments of $100, increasing by $10 each year, and an effective annual interest rate of 4%. Participants emphasize the importance of demonstrating effort in solving the problem before seeking assistance. The discussion highlights the need for clarity in understanding the present value calculation, which follows a specific formula. Engaging with the problem through initial attempts is crucial for effective learning and support.
micaehl1985
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1. 5. A twenty year annuity has end of month payments. The first year the payments are each $100. In subsequent years each payment increases by $10 over what it was the previous year. Find the present value of the annuity if i = 4% is the effective annual interest rate.

Thank you
 
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We are not here to do your homework for you. You must show some effort first.
 
I am not sure how to do this question. I tried to solve it.
 
I am not sure how to do this question. I tried to solve it.
 
Uh, okay? And how is repeating that in any way useful. Pengwuino didn't expect you to provide an entire solution, because you wouldn't be here in the first place if you had one. Showing effort means show us what you've tried.

This shouldn't be that hard. The present value of any type of quantity has a very specific formula.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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