Loan $8,000,000.00 payout 10 years interest rate 10% what will be the annual payment?
Question
Loan Details
- Loan Amount: $8,000,000.00
- Payout Period: 10 years
- Interest Rate: 10%
Question
What will be the annual payment?
Solution
To calculate the annual payment, you can use the formula for an annuity which is:
PMT = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where: PMT = annual payment P = principal amount (the loan amount) r = annual interest rate (in decimal) n = number of years
Given: P = $8,000,000 r = 10% or 0.10 n = 10 years
Substituting these values into the formula:
PMT = $8,000,000 * 0.10 * (1 + 0.10)^10 / ((1 + 0.10)^10 - 1)
First, calculate the value of (1 + r)^n: (1 + 0.10)^10 = 2.59374
Then, substitute this value back into the formula:
PMT = 8,000,000 * 0.10 * 2.59374 / 1.59374 PMT = $1,300,000
So, the annual payment would be approximately $1,300,000.
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