E connect BUAD 3040 distance fearni BUAD 3040 distance learnino Fa FINANCE apter
ID: 2749068 • Letter: E
Question
E connect BUAD 3040 distance fearni BUAD 3040 distance learnino Fa FINANCE apter 5 homework Question 19 (of 20) value 10.00 points Problem 5-39 Calculating the Number of Payments [LO 1 You're prepared to make monthly payments of $265, beginning at the end of this month, into an account that pays 9 percent interest compounded monthly Required: How many payments will you have made when your account balance reaches $68,000? (Enter rounded answer as directed, but do not use rounded numbers in intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16)) Number of payments Hints References eBook &Resources; Hint#1 pter 5 ho ×1 + … ezto.mheducation.com/hm.tpxExplanation / Answer
Monthly payment (P) = $265
Annual interest rate = 9%
Monthly interest Rate (R) = 9%/12 = .75%
Total Amount to be in balance = $68000
Time period in months (n) = ?
As per the formula of Future value of annuity,
Total Amount to be in balance = $68000 = P*((1+R)^n - 1)/R = 265*(1.0075^n – 1)/.0075
68000*.0075/265 = (1.0075^n – 1) = 1.9245
1.0075^n = 2.9245
n=log2.9245/log1.0075
n=143.619 months or 143.62 months
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.