# 1Time Value of Money solved questions pdf Financial Management notes with solved problems pdf time value of money formula tvm solved problems time value of money illustrations with solutions pdf (2024)

1.TimeValue of Money Part 1 numerical with solutions

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1. Mr. X invested Rs. 7, 10,000 atthe beginning of the year one at the rate of 10% compounded annually. Calculatehow much he will receive after the end of 1st, 2nd and 3rd year of hisinvestment?

Future value at the end of year 1 FV1 = PV (1+r)1 = 710000 * (1+0.1)1 = 710000 * 1.1= 781000

Or FV1 = PV × FVFr, n = 710000 × PVF.1,1 = 710000 × 1.1 = 781000

A

B

A × B

Present value at year 0

FVFr,n ( r= 0.1, n=1,2,3) taken from PVF table

Future Value at the end of

Rs. 7,10,000

FVF0.1, 1 = 1.1

Year 1 - FV1 = PV × FVF0.1, 1 = Rs. 7,10,000 × 1.1 = Rs. 7,81,000

Rs. 7,10,000

FVF0.1, 2 = 1.21

Year 2 - FV2 = PV × FVF0.1, 2 = Rs. 7,10,000 × 1.21 = Rs. 8,59,100

Rs. 7,10,000

FVF0.1, 3 = 1.33

Year 3 - FV3 = PV × FVF0.1, 3 = Rs. 7,10,000 × 1.33 = Rs. 9,65,600

2. Mr. X invested Rs. 1,000, Rs. 2,000and Rs. 5,000 at the starting of 1st, 2nd and 3rd year. What will be compounded value of his investment at the end of 3rd year when interest is provided at therate of 12%.

Solution:

Method 1

Method 2

A

B

C = A × B

FV = PV × (1+ r)n

Money invested at the beginning of year

FVF r,n

1- Rs. 1000

FVF 0.12, 3 = 1.405

Rs. 1000×1.405= Rs. 1,405

= Rs. 1000× (1+ .12)3= Rs. 1,405

2 - Rs. 2000

FVF 0.12, 2 = 1.254

Rs. 2000×1.254= Rs. 2,508

= Rs. 2000× (1+ .12)2=2,508

3 - Rs. 5000

FVF 0.12, 1 = 1.120

Rs. 5000×1.120= Rs. 5,600

= Rs. 5000× (1+ .12)1 = 5,600

compound value of his investment at the end of 3rd year when interest is provided at the rate of 12%

1405 + 2508 + 5600 = Rs. 9513

1405 + 2508 + 5600 = Rs. 9,513

3. Mr. X has invested an amount of Rs.15,000 each at the end of 1st, 2nd and 3rd year. Calculate the compound valueof his investment at the end of 3rd year if interest is provided at a rate of 9% compounded annually.

Solution:

FV at the end of year 3 = Annuity × FVAF 0.09, 3 =Rs. 15,000 × 3.278 = Rs. 49,170

4. A has invested Rs. 7,000 for 3years at an interest rate of 12 % per annum compounded semiannually. Whatamount he will get after 3 years?

Solution:

FV = PV ×FVF 0.06, 6 = Rs. 7,000 × 1.419 = Rs. 9,933

(In case ofsemiannual compounding divide r by 2 and multiply n by 2)

5. Vitthal has invested Rs. 25, 000now for 3 years at the rate of 8 % per annum compounded quarterly. What amounthe will get after 3 years?

Solution: FV = PV × FVF 0.02, 12 = Rs. 25,000 ×1.268 = Rs. 31,700

(In case of quarterly compounding divide r by 4 and multiplyn by 4)

6.Ravi wants to deposit Rs. 10, 00,000 in a bank for a year. He has receivedfollowing offers of rate of interest from different banks

SBI-10.75%p.a. compounded weekly

PNB-11%p.a. compounded monthly

HSBC-11.25%p.a. compounded quarterly

ICICI- 11.2% p.a. compounded half yearly

HDFC-11.5% p.a. compounded yearly.

Inwhich bank should he deposit his money?

Solution:

Bank

Nominal / stated / normal Rate of interest (r)

Period of compounding

No. of compounding period in a year (m)

Effective rate of interest

re = (1+r/m)m -1

SBI

0.1075

Weekly

52

(1 + )52 -1 = 0.1134

PNB

0.11

Monthly

12

(1 + )12 -1 = 0.1157

HSBC

0.1125

Quarterly

4

(1 + )4 -1 = 0.1173

ICICI

0.112

Half yearly

2

(1 + )2 -1 = 0.1151

HDFC

0.115

yearly

1

(1 + )1 -1 = 0.115

Ravi should invest in HSBC as effective rate of interest is highest for HSBC = 0.1173 or 11.73 %

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# 1Time Value of Money solved questions pdf Financial Management notes with solved problems pdf time value of money formula tvm solved problems time value of money illustrations with solutions pdf (1)

# 1Time Value of Money solved questions pdf  Financial Management notes with solved problems pdf time value of money formula tvm solved problems time value of money illustrations with solutions pdf (2024)

FAQs

What is the time value of money in financial management pdf? ›

The TVM is the concept according to which a sum of money owned in the present has a greater value than the value of the same sum received at a moment in the future.

How to answer time value of money questions? ›

In general, you calculate the time value of money by assessing a discount factor of future value factor to a set of cash flows. The factor is determined by the number of periods the cash flow will impacted as well as the expected rate of interest for the period.

What is time value of money in financial management problems? ›

The time value of money means that a sum of money is worth more now than the same sum of money in the future. The principle of the time value of money means that it can grow only through investing so a delayed investment is a lost opportunity.

What is the formula for time value of money in financial management? ›

For instance, if the present value (PV) of an investment is $10 million, and the amount is invested at a rate of return of 10% for one year, the future value (FV) is equal to: FV = $10 million * [1 + (10% / 1] ^ (1 × 1) = $11 million.

Why does money have time value in a PDF? ›

The time value of money refers to the concept that the amount of money held today is worth more than the same amount of money having in the future because of its potential earning capacity.

What is 72 formula? ›

The Rule of 72 is a calculation that estimates the number of years it takes to double your money at a specified rate of return. If, for example, your account earns 4 percent, divide 72 by 4 to get the number of years it will take for your money to double. In this case, 18 years.

What are the 3 main reasons of time value of money pdf? ›

There are three reasons for the time value of money: inflation, risk and liquidity.

What is a good example of time value of money? ›

If you invest $100 today, that money can start earning interest, for example. In the future, your initial investment will be worth more than $100 due to the earnings on that investment. So receiving $100 today is more valuable than receiving the same amount in the future.

What is a simple example of time value of money? ›

It is best exemplified by the prices of commodities such as gas or food. If, for example, you were given a certificate for $100 of free gasoline in 1990, you could have bought a lot more gallons of gas than you could have if you were given $100 of free gas a decade later.

Do 90% of millionaires make over $100,000 a year? ›

Choose the right career

And one crucial detail to note: Millionaire status doesn't equal a sky-high salary. “Only 31% averaged $100,000 a year over the course of their career,” the study found, “and one-third never made six figures in any single working year of their career.”

What are the factors affecting the time value of money? ›

What factors affect the time value of money? Key factors include interest rates, inflation, opportunity costs, risk and return profiles, liquidity of assets and length of investment horizons.

What is the money management formula? ›

The 50-30-20 rule recommends putting 50% of your money toward needs, 30% toward wants, and 20% toward savings. The savings category also includes money you will need to realize your future goals. Let's take a closer look at each category.

How many methods of calculating time value of money are there? ›

We can determine future value by using any of four methods: (1) mathematical equations, (2) calculators with financial functions, (3) spreadsheets, and (4) FVIF tables.

Why is time value of money important in financial management? ›

The time value of money helps investors make the best financial decisions: the decisions that will have the most financial returns. Most investors and businesses have many investment opportunities to choose from; using the time value of money helps equalize these opportunities based on timing.

What is the objective of time value of money in financial management? ›

The time value of money concept detects the potential earning capacity of an amount in the future. It, therefore, help different financial sector to understand and compute the present value and compare the same with the future value of the particular amount.

What are the four time value of money? ›

What are the four basic parts (variables) of the time-value of money equation? The four variables are present value (PV), time as stated as the number of periods (n), interest rate (r), and future value (FV).

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