Answer:
8.95%
Explanation:
Data provided in the question:
Time, n = 29 years
Principle amount = $200,000
Future value = $2,400,000
Now,
Using the compounding formula
Future value = Principle × [ 1 + r ]ⁿ
here,
r is the interest rate
Thus,
$2,400,000 = $200,000 × [ 1 + r ]²⁹
or
[ 1 + r ]²⁹ = 12
taking the natural log both the sides, we have
29 × ln(1 + r) = ln(12)
or
ln(1 + r) = 0.08569
or
1 + r = 
or
1 + r = 1.0895
or
r = 0.0895
or
r = 0.0895 × 100% = 8.95%
The "Farm Credit System" is a government-sponsored enterprise that works through a cooperative system to provide agricultural and rural loans.
<h3>What is Farm Credit System?</h3>
A nationwide financing network with a focus on helping the agriculture sector is called as Farm Credit System (FCS). It is composed of banking industry and organisations that extend loans to people and companies around the country.
Some key features of farm credit system are-
- From small farming families to multinational corporations, the FCS supports the rural community including organizations of all shapes and sizes.
- The FCS is composed up several cooperative banks and organisations that lend money to Americans both personally and commercially.
- There are 72 independent, customer-owned financial institutions that make up the FCS.
- A vital source of financing for the agricultural sector, which is viewed as high-risk most traditional lenders, is the Farm Credit System.
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The process of researching and creating new instruments to meet the requirements of investors and institutions in a financial environment that is rapidly shifting is known as financial engineering.
The application of mathematical techniques to the resolution of finance-related issues is known as financial engineering.Financial mathematics, mathematical finance, and computational finance are all other names for it.Tools from applied mathematics, computer science, statistics, and economic theory are used in financial engineering.
What distinguishes finance from financial engineering?
The fact that finance professionals use the products that finance engineers create in order to serve clients is a basic way to understand the difference between the two professions. Even though the two professions are distinct, they collaborated to create the industry we know today.
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