See the attached file.
Yakima is retiring this year with his savings in an investment fund worth $750,000. The fund has an average annual return of 9.00% (EAR).
a How much can Yakima withdraw at the end of each month (12 months per year) to have the fund last 30 years and still have $100,000 in the fund at the end of the 30 years (just to be safe)?
b How much can Yakima withdraw up front to invest in his home and still be able to withdraw $5,000 monthly for 30 years, with a zero balance at the end?
Initial Investment $750,000
Month Interest Withdraw Balance
0 0 0 $750,000
Question 3 Score 0
The Smothers are looking at retiring and would like to be debt free when this starts. They presently owe $225,000 on their home mortgage that has a rate of 4.25% APR with monthly compounding.
a If they make payments of $3,000 monthly, how many years until they can retire (when the house loan is paid off).
b If in the upcoming 5 years, they make $2,000 monthly payments, and then sell their house for $500,000, how much will they have to buy a home in a retirement development? (All taxes and fees should be ignored)
Monthly Rate 0.3542%
Presently Owe $225,000
Amount Paid $120,000
Save-Your-Day loans advertises no-interest loans of $100 on which only a $1 fee per week is charged. Collateral is usually a car title. The borrower will not pay anything until the loan is paid off. Then the amount to be paid back is $1.00 for each week per $100 of loan value. For a loan of $200 (two loans of $100) for 3 weeks, the pay back amount would be $200 + $1.00 * 2 loans * 3 weeks = $200 + $6= only $206.
Louie borrows $500 and pays it back in 4 weeks. What effective annual rate will Save-Your-Day earn on the loan to Louie?
Joan Dale inherited $500,000 that she invested at 12% APR compounded monthly and will not make any further payments. In 15 years when she retires, she will reinvest it in a more conservative fund that earns 5% APR with monthly compounding.
If she wants the retirement funds to last 25 years, how much will she receive monthly in her retirement years.
Veronica borrowed $5,000 from her Uncle and the agreed upon interest rate is 4% annually (EAR)?
a What would be the result at the end of five years If she pays her uncle $100 a month?
b If each month she pays the interest (only) on the loan, how much would this be?
Your client is considering two investments and has asked you to evaluate these alternatives. Provide financial and risk advice for your client regarding which to purchase.
a 500 shares of a stock that can be purchased for $80 a share. Forecasts are that it can be sold in 5 years for $135 a share. It also is forecasted to pay quarterly dividends of $2.00 per share in the upcoming 5 years.
b A bond with a face value of $50,000 that matures in 5 years. It can be purchased for $40,000 today, and it has a coupon rate of 5.00% that is paid semi-annually.© BrainMass Inc. brainmass.com October 17, 2018, 12:24 pm ad1c9bdddf
Solution provides the solutions for the given problems.
Engineering Economics Problems
2. A machine is under consideration for a new manufacturing process. The interest rate is 10% computed semiannually. Compute the future worth of this alternative:
First cost = $70,000
Semiannual cost = $6,000
Semiannual income = $18,000
Salvage value = $9,000
Life in years = 5
4. You deposit $5,000 in a savings certificate. The bank pays compound interest at an annual rate of 12%, compounded quarterly. At the end of 4 years, how much money have you earned in the savings certificate?
7. Consider the following sets of investments projects in Table 1. All projects have a 5 year investment life, with and interest rate of 10%.
Table 1 Project Cash Flow ($)
N A B
0 -$17,000 -$18,000
1 4100 3300
2 4200 3500
3 4300 3700
4 4400 3900
5 4500 4100
5 (Salvage Value) 5000 5500
Compute the present worth of project A, in Table 1.
8. How much do you have to pay for a bond rate that pays 6% dividend compounded semiannually, with a face value of $5,000 that is going to be paid (maturity) in 5 years. The buyer wants to have an interest rate profit of 8% compounded semiannually.View Full Posting Details