HW Assignment 4-1

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Virginia Western Community College *

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301

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Finance

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Apr 3, 2024

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docx

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ENMA 302 Gavin C. Homework Assignment 4 Question 1 (1pt.) : How much must be deposited now at 4 ½% interest to produce $300 at the end of every year for 10 years? Question 2 (2pts.) : In the table below, the cash flows have a combined Present Value of 0. The first three cash flows occur at the end of periods 1, 2, & 3. If the interest rate is 8%, what is the value each of the uniform cash flows at the end of periods 6, 7 & 8? Year Cash Flow 1 100 2 100 3 100 4 0 5 0 6 ? 7 ? 8 ? 1 2 3 4 5 6 7 8 100 100 100 Question 3 (2pts.) : A new car can be purchased for a down payment of $5,000 and 60 monthly payments of $280. If the interest rate is 12% compounded monthly, what is the price of the car (including the cost of the interest payments)?
ENMA 302 Gavin C. Question 4 (2pts.) : An insurance annuity will pay $50 in two (2) years, $100 in three (3) years and $150 in four (4) years. What is the value of the annuity today if the interest rate is 10%? Question 5 (2pts.) : A series of cash flows will occur in sequence as follows: present time, $100, the end of one (1) year, $150, the end of two (2) years, $200, the end of three (3) years, $250. Compute the present value of the cash flows using an interest rate of 8%. Question 6 (3pts.) : A series of cash flows begins at $12,675 the first year, with an increase each year until n=10. If the interest rate is 12.675%, what is the present value when the annual increase is $1,268? Question 7 (3pts.) : A series of cash flows begins at $7,125 the first year, with an increase each year until n=10. If the interest rate is 7.125%, what is the present value when the annual increase is 7.125%? Question 8 (1pt.) : The Central Bank pays 7% annual interest, compounded daily on savings accounts. What is the effective annual rate? Question 9 (1pt.) : A bank pays 12% nominal interest on special three-year certificates. What is the effective annual rate if interest is compounded continuously? Question 10 (2pts.) : After reading Integrative Case 1 (page 154 – 157), answer the following questions: a. What is the firm’s year-over-year growth in terms of total assets? b. How much debt reduction did the firm achieve from 2008 to 2009?
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