Problems Set 4 (2)

A state lottery gives a winner the choice of receiving the winning amount in equal monthly payments for 20 years or receiving a lump sum equal to the present value of an annuity with future value equal to the winnings. The winner selecting monthly payments will receive $4,000,000/240 = $16,666.67 each month for each million dollars of winnings. (Round your final answers to two decimal places.) (a) Find the present value of an annuity with monthly payments of $16,666.67, at an Interest rate of 5.2% for 20 years, for the winner who wants a lump-sum payment. $ X (b) In order for the lottery to be more profitable, it is decided to pay the winnings in equal monthly payments for 25 years. Find the monthly payments of $4 million in winnings. $ Find the present value of an annuity with those monthly payments at 5.2% for 25 years. $

Problem 2 Suppose you purchased a house and took a 30 -year mortgage. The mortgage is unusual: you pay yearly, not monthly. The yearly payment is$17,000and the interest rate is4.2%. What is the amount of mortgage you took? (Round to two decimals.) Hint: find the PV of all the payments.

eering Economics sum2020 summer21 Time left 0:18:47 Suppose that the parents of a young child decide to make annual deposits into a saving account, with the first deposit being made on the child's fifth birthday and the last deposit being made on the 15th birthday. Then, starting on the child's 18th birthday (EOY), four withdrawals will be made. The sequence of the amounts of withdrawals is $2000, $2400, $2800, and $3200. If the effective annual interest rate is 8% during this period, what are the annual deposits in years 5 through 15? Use a uniform gradient amount in your solution and support your work by drawing the cash flow diagram. Draw the cash flow diagram and solve the problem. Upload your answer in the moodle. Answer: FINISH ATTEMPT ...

15,000 =(1+r) 3500+24000 How do I find what is interest (r)? Please provide an breakdown of calculation.

Cash Flow is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $1000 is to be paid out a year from today with the interest rate equal to 5​% is $. ​(Round your response to the neareast two decimal​ place) Part 3 If a loan is paid after two​ years, and the amount $7000 is to be paid then with a corresponding 7​% interest​ rate, the present value of the loan is ​$. ​(Round your response to the neareast two decimal​ place)

Cash Flow is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which ​$1000 is to be paid out a year from today with the interest rate equal to 5% is $.​(Round your response to the neareast two decimal​ place) Part 3 If a loan is paid after two​ years, and the amount ​$7000 is to be paid then with a corresponding 7​%interest​ rate, the present value of the loan is $.​(Round your response to the neareast two decimal​ place)

An investor can invest money with a particular bank and earn a stated interest rate of 4.40%; however, interest will be compounded quarterly. What i are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate Rahul needs a loan and is speaking to several lending agencies about the interest rates they would charge and the terms they offer. He particularly likes his local bank because he is being offered a nominal rate of 4%. But the bank is compounding bimonthly (every two months). What is the effective interest rate that Rahul would pay for the loan? ○ 3.945% 4.152% 4.067% 04.186 % Another bank is also offering favorable terms, so Rahul decides to take a loan of $12,000 from this bank. He signs the loan contract at 5% comanded daily for 12 months. Based on a 365-day year, what is the total amount that Rahul owes the bank at the end of the loan's term? (Hint: To calculate the number of days,…

10.​You now have $20,000 which can be invested at 9% per year. ​a.​For how many years can you spend $2671? ​b.​What is the most you can spend per year for the next 20 years?

FIN301 Copyright © 2020 Singapore University of Social Sciences (SUSS) Page 5 of 5Timed Online Assignment – July Semester 2020(a) Suppose Jack can get a 2% interest rate for a 6 month USD deposit, solve for the interest rate for a 6 month SGD deposit so that Jack will be indifferent to exchanging the USD now or in 6 months’ time. (Note: The 2% is not an annual rate but is applicable for the 6-month period.) (b) Suppose Jack decides not to use the forward market to hedge the exchange rate risk but use the futures market instead. Explain one (1) advantage and one (1) disadvantage of using each method.

2. My son's YouTube channel (ILYAD) is making around $1000 per year at the moment (assume payments at the end of each year). How much will he have in his RESP account 12 years from now if he keeps collecting money from YouTube? Let's assume his revenue remains the same for the next 4 years (starting today) then the revenue increases to $1500 per year, from year 4 to 8, and then it increases to $2000 per year for the remaining years. Consider 5% annual interest rate for this problem

(Subject is engineering economics, please show work.)

Every year you pay your neighbor $150 to clean the gutters at your house. You saw an ad on late night TV for a new product--GutterSnipe--which sits in the gutters and prevents leaves getting in. Your interest rate is 8%, compounded daily, and you plan on being in the house another 10 years. You assume that any potential buyer won't be interested/notice that you have installed GutterSnipe on your house. What is the most you would be willing to pay to buy GutterSnipe for your house? $978 $965 $1010 $992

1. Future and present values Suppose a relative has promised to give you $1,000 as a wedding gift the day you get engaged. Assuming a constant interest rate of 5%, consider the present and future values of this gift, depending on when you become engaged. Complete the first row of the following table by determining the value of the gift in one and two years with interest if you become engaged today and save the money. Date Received Today In 1 year In 2 years Present Value (Dollars) 1,000.00 Value in One Year (Dollars) 1,000.00 Value in Two Years (Dollars) 1,000.00 Now complete the first column of the previous table by computing the present value of the gift if you get engaged in one year or two years. The present value of the gift is if you get engaged in one year than it is if you get engaged in two years.

1- How much can you afford to spend now on an Alarm Fire system if it will save you $21,300 per year for the next 5 years? Use an interest rate of 10% per year. 2. You need to buy a car in two years from now, the car dealer made you an offering, if you buy the car now, he would give you 40% a discount rate. You know that the car price will be SR 142,000 if you delay the purchasing decision two years. what is the present worth of the savings? if you refuse the offering. Assume the interest rate is 10% per year. 3. The amount of money that Energy Company can spend now for improving productivity instead of spending $30,000 three years from now at an interest rate of 12% per year is closest to: (a) $15,700 (b) $17,800 (c) $19,300 (d) $21,350

5. You receive payments of $10,000 per year from a family trust, but you don't need that money right now. Find FV Annuity: If you deposit your annual payments into an account earning 2% per year, what will be the account balance in 10 years? C= 10,000 r = 0.02 t = 10 (1 = i)^n FV = C =? Find FV Annuity: If you deposit your annual payments into an account earning 2% per year, what will be the account balance in 5 years?

Intro The annual interest rate is 7%. Part 1 What is the present value (PV) of $1,000 that you'll receive in 16 years? 0+ decimals Submit

An annuity-due has 26 payments of $200 per period. The effective rate of interest per period is 8% for the first 12 periods and 4% for the following 14 periods. (A) Find the accumulated value of the annuity using the portfolio method. Round your answer to 2 decimal places. (B) Find the accumulated value of the annuity using the yield-curve method.. Round your answer to 2 decimal places.

You have just purchased 200 shares of General Electric stock at $15 per share. You will sell the stock when its market price doubles. If you expect the stock price to increase 12% per year, how long do you expect to wait before selling the stock? (See Figure.)

You are planning to invest $4,000 in an account earning 8% per year for retirement. a. If you put the $4,000 in an account at age 23, and withdraw it 50 years later, how much will you have? b. If you wait 10 years before making the deposit, so that it stays in the account for only 40 years, how much will you have at the end? a. If you put the $4,000 in an account at age 23, and withdraw it 50 years later, how much will you have? In 50 years you would have $750424. (Round to the nearest cent.)

Q2

Suppose that an oil well is expected to produce 1,200,000 barrels of oil during its firstyear in production. However, its subsequent production (yield) is expected to increaseby 9% over the previous year's production. The oil well has a proven reserve of10,500,000 barrels. (a)Suppose that the price of oil is expected to be $120 per barrel for the next six years.What would be the present worth of the anticipated revenue stream at an interest rateof 10% compounded annually over the next six years?(b)Suppose that the price of oil is expected to start at $120 per barrel during the firstyear, but to increase at the rate of 3% over the previous year's price. What would bethe present worth of the anticipated revenue stream at an interest rate of 10%compounded annually over the next six years?(c)Consider part (b) again. After three years' production, you decide to sell the oil well.What would be a fair price?

Assume that your father is now 50 years old and plans to retire after 10 years from now. He is expected to live for another 25 years after retirement. He wants a fixed retirement income of Rs. 5,00,000 per annum. His retirement income will begin the day he retires, 10 years from today, and then he will get 24 additional payments annually. Your father has current savings of Rs. 10,00,000 and he expects to earn a return on his savings @ 10% p.a., annually compounding. How much (to the nearest of rupee) must your father save during each of next 10 years to meet his retirement goal?

10 Using the Rule of 72, calculate how much $10,000 will grow over 30 years at 2% annual return; and 10% annual return?

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The market for a product is expected to increase at an annual rate of 6%. First-year sales are estimated at $45,000, the horizon is 12 years, and the interest rate is 8%. What is the present value?

1.1) You lend a friend RM20,000 for a year. At the end of the year your friend agrees to pay you RM21,100. The interest rate on this loan is _______ 1.2 ) You lend a friend RM20,000 for a year at an annual interest rate of 5%. At the end of the year your friend must pay you ________ in interest. 1.3) You agree to lend ________ to a friend for a year at an annual interest rate of 10%. At the end of the year your friend pays you RM600 in interest. 1.4) You use RM40,000 of your own money to start a catering business. During the first year you earn a 5% return on that investment. If the current interest rate on savings is 8%, you earn an economic profit of ___________ 1.5) You use RM50,000 of your own money to start an espresso stand. During the first year you earn a 10% return on that investment. If the current interest rate on savings is 8%, you earn an economic profit of ___________ i need working calculation for this actually.. Plz help me

1. Future and present values Suppose a wealthy university booster has pledged a superstar high-school sophomore tennis recruit $1,000 as a gift the day they give a verbal commitment to play tennis at the booster's alma mater. Assuming a constant interest rate of 9%, consider the present and future values of this gift, depending on when the recruit announces their commitment. Complete the first row of the following table by determining the value of the gift in one and two years with interest if you become engaged today and save the money. Date Received Today In 1 year In 2 years Present Value (Dollars) 1,000.00 Value in One Year (Dollars) Value in Two Years (Dollars) 1,000.00 1,000.00 Now complete the first column of the previous table by computing the present value of the gift if the recruit commits in one year or two years. if the recruit commits in one year than it is if you get engaged in two years. The present value of the gift is Grade It Now Save & Continue Continue without…