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Andre45 [30]
2 years ago
14

An investment will increase in value by 250% over the next 25 years. What is the annual interest rate which, when compounded qua

rterly, provides this return
Business
1 answer:
Olenka [21]2 years ago
4 0

The annual interest rate will be 5.04% if the compounded quarterly provides this return.

<h3>What is annual interest rate?</h3>

The annual interest rate means the rate paid on investments without accounting for the compounding of interest within that year.

Let assume that PV = $100

Future Value = $100*(1+2.5)

Future Value = $100*3.5

Future Value = $350

Periods = Years*frequency

Periods =25 *4

Periods = 100

Quarterly Rate = (FV/PV)^(1/Periods)-1

Quarterly Rate = (350/100)^(1/100) - 1

Quarterly Rate = 1.01260642915 - 1

Quarterly Rate = 0.01260642915

Annual rate = Quarterly rate * Frequency

Annual rate = 0.01260642915 * 4

Annual rate = 0.0504257166

Annual rate = 5.04

in conclusion, the annual interest rate will be 5.04% if the compounded quarterly provides this return.

Read more about annual interest rate

<em>brainly.com/question/15728540</em>

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On December 31, 2021, Harris Co. leased a machine from Catt, Inc. for a five-year period. Equal annual payments under the lease
densk [106]

Answer: $5,222,400

Explanation:

Here is the complete question:

On December 31, 2021, Harris Co. leased a machine from Catt, Inc. for a five-year period. Equal annual payments under the lease are $2,100,000 (including $100,000 annual executory costs) and are due on December 31 of each year. The first payment was made on December 31, 2021, and the second payment was made on December 31, 2022. The five lease payments are discounted at 10% over the lease term. The present value of lease payments at the inception of the lease and before the first annual payment was $8,756,727. The lease is appropriately accounted for as a finance lease by Harris. In its December 31, 2022 balance sheet, Harris should report a lease liability of

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b. $6,240,000.

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d. $5,222,400

In its December 31, 2022 balance sheet, Harris should report a lease liability of:

Present value of annual lease payments = $8,756,727

Less: Annual lease payment on December 31, 2021 = $2,100,000

Less: Annual lease payment on December 31, 2022 = $2,100,000

Add: Interest expense on lease liability = $665,673

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Note that the interest expense on lease liability is calculated as:

= (8756727 - 2100000) × 10%

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= $665,672.7 = $665,673

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