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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?

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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 = 8,000,0000.102.59374/(2.593741)PMT=8,000,000 * 0.10 * 2.59374 / (2.59374 - 1) PMT = 8,000,000 * 0.10 * 2.59374 / 1.59374 PMT = $1,300,000

So, the annual payment would be approximately $1,300,000.

This problem has been solved

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