Question

Present and Future Values for Different Periods:
Find the following values using the equations and then a financial calculator. Compounding/discounting occurs annually.
1. An initial $600 compounded for 1 year at 6%.
2. An initial $600 compounded for 2 years at 6%.
3. The present value of $600 due in 1 year at a discount rate of 6%.
4. The present value of $600 due in 2 years at a discount rate of 6%.

Answer 1

Answer:

1. $636

2. $674.16

3. $566.04

4. $534

Explanation:

PV = FV ÷ (1 + r/n)^(t × n)........(1)

PV = present value

FV = Future value

r = rate per period

t = number of years

n = number of compounded period per year

FV = P(1 + r/n)^(t×n)...............(2)

FV = Future value

P = principal

r = rate per period

n = number compounded period per year

t = number of year

NO 1.

P= $600

t = 1

n = 1

r = 6% = 0.06

Using equation 2

FV = 600(1 + 0.06/1)^(1 × 1) = $636

NO 2

P = $600

n = 1

t = 2

r = 0.06

Using equation 2

FV = 600(1 + 0.06/1)^(2 × 1) = $674.16

NO 3.

FV = $600

r = 0.06

t = 1

n = 1

Using equation 1

PV = 600 ÷ (1 + 0.06/1)^(1 × 1) = $566.04

NO 4.

FV = $600

r = 0.06

n = 1

t = 2

Using equation 1

PV = 600 ÷ (1 + 0.06/1)^(2 × 1) = $534