Understanding Time Value of Money

What is the formula for calculating Present Value?

• PV = FV / (1 + r)^n

• PV = FV - (1 + r)^n

• PV = FV / (r + n)

• PV = FV * (1 + r)^n

If you want to have $1,000 in 5 years and the interest rate is 5%, what is the Present Value?

• 900.00

• 500.00

• 783.53

• 850.25

What is the formula for calculating Future Value?

• FV = PV - (r * n)

• FV = PV + r * n

• FV = PV / (1 + r)^n

• FV = PV * (1 + r)^n

If you invest $500 today at an interest rate of 6% for 10 years, what will be the Future Value?

• $1,000.00

• $600.00

• $895.42

• $750.00

Define an annuity and provide an example.

• An annuity is a loan that must be repaid in full within a year.

• An annuity is a type of insurance policy that only pays out upon death.

• An annuity is a one-time payment made to an individual.

• An annuity is a financial product that provides a series of payments made at equal intervals. An example is a fixed annuity.

What is the difference between an ordinary annuity and an annuity due?

• An ordinary annuity is only available for retirement accounts, while an annuity due is for all types of investments.

• An ordinary annuity pays a fixed amount each period, while an annuity due pays a variable amount.

• The main difference is the timing of payments: ordinary annuity payments are made at the end of each period, whereas annuity due payments are made at the beginning.

• Both ordinary annuities and annuities due make payments at the same time during each period.

How do you calculate the present value of an annuity?

• PV = Pmt × (1 + r)^n

• PV = Pmt × (r / (1 - (1 + r)^n))

• PV = Pmt × [(1 - (1 + r)^-n) / r]

• PV = Pmt / (1 + r)^n

If you receive $200 at the end of each year for 5 years, what is the present value of this annuity at a discount rate of 4%?

• 750.00

• 1,200.50

• 500.25

• 890.36

What is a perpetuity and how is it different from an annuity?

• An annuity is a one-time payment, while a perpetuity involves multiple payments over time.

• Both a perpetuity and an annuity pay for a fixed period.

• A perpetuity pays indefinitely, while an annuity pays for a fixed period.

• A perpetuity pays for a fixed period, while an annuity pays indefinitely.

How do you calculate the present value of a perpetuity that pays $100 annually with a discount rate of 5%?

• $4000

• $2000

• $500

• $1000