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fiasKO [112]
4 years ago
6

Anthony is deciding between different savings accounts at his bank. He has four options, based on how frequently interest compou

nds. Which should he choose if he wants the best rate of return on his interest?
Business
1 answer:
lyudmila [28]4 years ago
7 0
Compound interest formula:
A = P (1+r/n)^(nt)

Where:

A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for

Compounding Interest simply means that the interest earned for a certain interest period also earns an interest.

Let us assume the following:

Principal = 1,000

rate = 0.12 per annum

term/time = 5 years

if n = annual compounding it is equal to 1 ; <span>A = 1,762.34</span>

if n = semi annual compounding it is equal to 2 ; A = 1,790.85

if n = quarterly compounding, it is equal to 4 ; A = 1,806.11

if n = monthly compounding, it is equal to 12 ; A = 1,816.70

Based on the sample computation, Anthony will earn more interest from monthly compounding.

 


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Answer:

The bid amount should be $13,200,264.

Explanation:

An oil and gas producing company owns 42,000 acres of land in a southeastern state.

It operates 630 wells which produce 18,000 barrels of oil per year and 1.7 million cubic feet of natural gas per year.

The revenue from the oil is ​$1,800,000 per year and for natural gas the annual revenue is ​$581,000 per year.

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= Revenue from oil + Revenue from gas

= $1,800,000 + $581,000

= $2,381,000

The bid amount should be the present worth of total annual revenue.

Present Worth of total annual revenue

= Revenue \times\ \frac{( 1 + i )^{n} -1 }{i (1 + i)^{n} }

= $2,381,000\ \times\ \frac{( 1 + 0.11 )^{9} -1 }{0.11 × (1 + 0.11)^{9} }

= $2,381,000\ \times\ \frac{( 1.11 )^{9} -1 }{0.11 × (1.11)^{9} }

= $2,381,000\ \times\ \frac{2.5580 - 1 }{0.11 × 2.5580 }

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= $13,200,264

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