In: Accounting
You own a contract that promises an annuity cash flow of $150 year-end cash flows for each of the next 3 years. (Note: The first cash flow is exactly 1 year from today). At an interest rate of 11%, what is the present value of this contract?
Given in the question,
Annual interest=150
Rate of interest(i)= 11%=0.11
Period(n)=3 years
Total Interest = Annual interest X n
=150 X 3 (Substituting the value from above)
=450
Total Interest = Present Value[(1+i)n-1]
450=Present Value[(1+0.11)3-1] (Substituting the value from above)
450=Present Value[(1.11)3-1]
450=Present Value[1.3676-1]
450=Present Value[0.3676]
Present Value=450/0.3676
=$1,224