Paula is trying to get a loan for $10,000 to start a business as a financial...
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Paula is trying to get a loan for $10,000 to start a business as a financial advisor and is trying to decide between several options. (15 points) i) ii) A $10,000 loan that needs to be paid back after 5 years with a 5% nominal annual interest rate, compounded monthly. A $10,000 loan that needs to be paid back after 6 years, the first 2 years there is no interest, and after the annual effective interest rate is 10%. Hint: When solving for the annual payment consider PV=A+A+A(P/A, i%,n), where A is the uniform annual payment. Assuming that in each case he plans to make equal yearly payments for the full length of the loan, starting in year 1: a. What is the amount of his yearly payment in each case? b. Now assume that the interest rate of the market is an effective annual rate of 3%, what is the present value of the annuity payments for each option? Based on this metric, which is better? Paula is trying to get a loan for $10,000 to start a business as a financial advisor and is trying to decide between several options. (15 points) i) ii) A $10,000 loan that needs to be paid back after 5 years with a 5% nominal annual interest rate, compounded monthly. A $10,000 loan that needs to be paid back after 6 years, the first 2 years there is no interest, and after the annual effective interest rate is 10%. Hint: When solving for the annual payment consider PV=A+A+A(P/A, i%,n), where A is the uniform annual payment. Assuming that in each case he plans to make equal yearly payments for the full length of the loan, starting in year 1: a. What is the amount of his yearly payment in each case? b. Now assume that the interest rate of the market is an effective annual rate of 3%, what is the present value of the annuity payments for each option? Based on this metric, which is better?
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a To calculate the annual payment for each loan we can use the formula for the present value of an a... View the full answer
Related Book For
Introduction To Mathematical Statistics And Its Applications
ISBN: 9780321693945
5th Edition
Authors: Richard J. Larsen, Morris L. Marx
Posted Date:
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