Determine the present equivalent value of the cash-flow diagram shown below when the annual interest rate, i varies as indicated. Q ܗܘ ܦܢܐܘܪ ܡܐܢ P=? $2,000 i₁ = 12% 12 = 6% 1 $4,000 The present equivalent value is $ 2 13 = 10% 3 Years $2,000 i4 = 12% i5 = 10% 16 = 6% (Round to the nearest cent.) $4,000 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 = 10% per year. 6 Q

What is the present equivalent of a uniform series of quarterly payments of $4,500 each for 8 years and a quarterly payments $2,000 of the next 5 years if the interest rate is 8% compounded bimonthly? Note: Round off your interest rate to five decimal places   Round your answer to 2 decimal places.

Given: Receive one payment every 3 months. 15% APR compounded monthly.

Find each year saving as well!!!

If $11,500 per quarter is invested in an account that earns a nominal annual interest rate of 9% compounded monthly, how much money will be in the account at the end of 4 years? The account will have $- (Round to the nearest dollar.)

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

☐ Your company plans to buy a new vehicle, with a loan payment of $400 per month for 60 months. You estimate that the cost of gas will be $50 in the first month and increase by 1% each month. What is the present equivalent of the loan and gas costs for the vehicle over the 60 months of the loan, assuming an interest rate of 8%? Typed numeric answer will be automatically saved.

Show complete solution (please write eligibly)   1. Find the uniform annual amount that is equivalent to a uniform gradient series in which the first year’s payment is $500, the second year’s payment is $600, the third year’s payment is $700, and so on, and there are a total of 22 payments. The annual interest rate is 11%. Round answer to 2 decimal places.

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.)

4. An engineering consultant wants to withdraw $16,000 per year for each of the next 10 years to purchase hardware and software upgrades. How much money must the consultant deposit initially in an account that earns 4% interest, compounded annually?