Determine the present equivalent value of the cash-flow diagram shown below when the annual interest rate, i, varies as indicated. Q P=? 0 $4,000 $2,000 in 1₁ =15%2=12% 13 = 15% 1 2 $2,000 i4 = 6% 3 Years i5 = 6% 5 $4,000 16 = 6% 6 Click the icon to view the interest and annuity table for discrete compounding when i = 6% per year.

10. A man borrowed P180,000 from a lending firm for 6 years at 9% compounded quarterly. At the end of 6 years, it renews the loan for the amount due plus P80,000 more for 6 years at 4 % compounded monthly. Determine the value of money at the end of the extended period? Show the Cash Flow Diagram. State your reference period in the solution as reflected in the diagram. Note: Use only two decimal places for the final answer and four decimal places for the solutions. Answer the problem with the given Format: Given, Required, Solution, Answer. Thank you!

Suppose that $4000 is placed in a bank account at the end of each quarter over the next 10 years. What is the future worth at the end of 10 years when the interest rate is 9% compounded at the given intervals? a. Quarterly b. Monthly c. Continuously There are a couple solutions out there but they are either not complete or wrong. Please take you time to complete a-c and explain what every aspect is please. Thanks!!

follow instructions. don't forget to make the diagram

Determine the present equivalent value of the cash-flow diagram shown below when the annual interest rate, İk varies as indicated. Q P=? $2,500 i₁ = 6% 1 $5,000 The present equivalent value is $ 1₂ = 15% 2 13 = 12% 14 = 6% 3 Years $2,500 (Round to the nearest cent.) 4 $5,000 15 = 6% 16 = 15% 5 Click the icon to view the interest and annuity table for discrete compounding when i = 6% per year. Click the icon to view the interest and annuity table for discrete compounding when i = 12% per year. 6

If a nominal interest rate of 8% is compounded continuously, determine the unknown quantity in each of the following situations: a. What uniform EOY amount for 11 years is equivalent to $9,000 at EOY 11? b. What is the present equivalent value of $950 per year for 13 years? c. What is the future equivalent at the end of the sixth year of $232 payments made every six months during the six years? The first payment occurs six months from the present and the last occurs at the end of the sixth year. d. Find the equivalent lump-sum amount at EOY nine when P = $900. Click the icon to view the interest and annuity table for continuous compounding when i = 8% per year. a. The uniform EOY amount is $ (Round to the nearest dollar.) b. The present equivalent value $950 per year for 13 years is $ c. The future equivalent is $ (Round to the nearest dollar.) d. The equivalent lump-sum amount is (Round to the nearest dollar.) (Round to the nearest dollar.)

Lindsey plans to deposit her annual bonus into a savings account that pays 3% interest compounded annually. The size of her bonus increases by $1000 each year, and the initial bonus amount she will deposit at the end of year 1 is $2,500. a) Determine how much will be in the account immediately after the 6th deposit. b) What's the future value if she only plans to deposit her annual bonus for 8 years (the last deposit is at the end of year 8)? c) What's the future value if she only plans to deposit her annual bonus for 8 years (the last deposit is at the end of year 8), but also plans to skip the deposits at the end of years 3 and 6?

A cash flow at time zero (now) of $7,386 is equivalent to another cash flow that is an EOY annuity of $2,100 over five years (starting at year 1). Each of these two cash-flow series is equivalent to a third series, which is a uniform gradient series. What is the value of G for this third series over the same five-year time interval? Assume that the cash flow at the end of year one is zero. Choose the correct answer below. A. $1,050 B. $702 OC. $949 OD. $1,195 OE. Not enough information given.

A geometric gradient that increases at f= 5% per year for 15 years is shown in the accompanying diagram. The annual interest rate is 10%. What is the present equivalent value of this gradient? AClick the icon to view the diagram for geometric gradient values. Click the icon to view the interest and annuity table for discrete compounding when i= 5 % per year. Click the icon to view the interest and annuity table for discrete compounding when i= 10% per year. 4... The present equivalent value of the gradient is $ (Round to the nearest dollar.)

Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that $2,200 is set aside each year and invested in a savings account that pays 20% interest per year, compounded continuously. a. Determine the accumulated savings in this account at the end of 24 years. b. In Part (a), suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 24. The annuity will extend from the EOY 25 to the EOY 34. What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change? Click the icon to view the interest and annuity table for continuous compounding when /-20% per year. CODE a. The accumulated savings amount at the end of 24 years will be $ (Round to the nearest dollar.)