Question

Chancellor Ltd. sells an asset with a $1 million fair value to Sophie Inc. Sophie agrees to make six equal payments, each to be paid one year apart, commencing on the date of sale. The payments include principal and 6% annual interest. Compute the annual payments. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) $166,651. $203,351. $135,252. $191,852.

Answer 1

Answer:

$191,852

Explanation:

The computation of the annual payment is shown below

Given that

Loan Amount (P) = $1,000,000

Annual Interest Rate (r) = 6.00% per year

Loan Period (n) = 6 Years

Now

The Annual Lona Payment is

= [P × {r × (1 + r)^n}] ÷ (1 + r)^n - 1

= [$1,000,000 x {0.06 x (1 + 0.06)^5}] ÷ [(1 + 0.06)^6 - 1]

= $191,851.5363

= $191,852

Hence, the annual payment is $191,852