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igor_vitrenko [27]
3 years ago
13

Determine the combined present value as of December 31, 2021, of the following four payments to be received at the end of each o

f the designated years, assuming an annual interest rate of 8%. (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. Round your final answers to nearest whole dollar amount.)
Business
1 answer:
Alenkasestr [34]3 years ago
6 0

Answer:

The question is incomplete, see the complete question below:

Determine the combined present value as of December 31, 2021, of the following four payments to be received at the end of each of the designated years, assuming an annual interest rate of 8%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1). Find N as well.

Payment   Year Received

          $

       9,000  2022

9,600  2023

11,200  2025

13,400  2027

Combined present value                        33,313.9

Explanation:

Present Value:The worth today of a sum receivable or payable in the future is called Present Value. It is premised on the concept of time value of money- that $1 today is worth more than $1 tomorrow. Why?

Because of the opportunity to invest; if invested, the $1 of today would earn interest so making it worth more than $1 dollar on the maturity day.

To calculate the present value of a future cash flow, we simply adiscount it using an appropriate discount rate which is the required rate of return. The discount rate is 8% in this question.

We can quickly calculate the Present Value (PV) using this formula:

PV = FV × (1+r)^(-n)

where FV - Future value, r- interest rate- 8%, n- number of years.

We can now apply these concepts to this question:

Year                                                        Present Value

2022  9000  × (1.08)^(-1)                        8,333.3

2023   9,600  ×  (1.08)^(-2)                      8230.5

2025   11,300  ×  (1.08)^(-4)                      8305.8

2027    13,400 ×   (1.08)^(-6)                  <u>   8,444.3</u>

Combined present value                        <u>33,313.9</u>

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