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January 2025 term · Corporate Finance · BSMS3034

Corporate Finance Quiz 1: 23 February 2025 (January 2025 term)

The IIT Madras BS Corporate Finance (Corporate Finance) Quiz 1 paper sat on 23 Feb 2025, in the January 2025 term: 25 questions for 100 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
25
Marks
100
Duration
120 min
MCQ
25

Updated

Official paper: IIT M DEGREE AN EXAM QDB2 23 Feb 2025 · No negative marking.

Question 1

+4 marksOne correct option

What should be the rate of interest per year (annually compounded) so that your money triples in 10 years?

  1. A

    5.42%

  2. B

    7.60%

  3. C

    11.61%

  4. D

    20.00%

Show answer

Correct answer

  • C

    11.61%

Question 2

+4 marksOne correct option

An investment is expected to yield Rs 2,000 in two years, Rs 4,000 in 4 years, and Rs 6,000 in six years. If the constant rate of return is 10% (compounded annually), what is the present value of this investment (Rounded off to nearest integer)?

  1. A

    Rs 12,000

  2. B

    Rs 8,196

  3. C

    Rs 7,772

  4. D

    Rs 6,000

Show answer

Correct answer

  • C

    Rs 7,772

Question 3

+4 marksOne correct option

Suppose an asset earns an annual interest rate of 9% which is continuously compounded. If the asset sells for Rs 500 today, what will be its value after 3 years (Rounded off to nearest integer)?

  1. A

    Rs 382

  2. B

    Rs 500

  3. C

    Rs 635

  4. D

    Rs 655

Show answer

Correct answer

  • D

    Rs 655

Question 4

+4 marksOne correct option

What is the present value of a perpetuity that pays Rs 800 next year, grows at a rate of 2% per year thereafter and faces a cost of capital of 10% per year?

  1. A

    Rs 40,000

  2. B

    Rs 10,000

  3. C

    Rs 8,000

  4. D

    Rs 4,000

Show answer

Correct answer

  • B

    Rs 10,000

Question 5

+4 marksOne correct option

You discover an antique in your attic that your father purchased 40 years ago for Rs 100. You auction it and receive Rs 50,000 for this item today. What is the annualized rate of return that is earned for the antique?

  1. A

    8.32%

  2. B

    12.50%

  3. C

    16.81%

  4. D

    50.00%

Show answer

Correct answer

  • C

    16.81%

Question 6

+4 marksOne correct option

The LIC stock is trading at Rs 800 today. LIC is expected to pay a dividend of Rs 50 per share next year. If the growth rate of the LIC dividend is 4% every year and the appropriate rate of return is 10% per year, then according to the Gordon growth model

  1. A

    The LIC stock is underpriced, and an investor should buy LIC shares.

  2. B

    The LIC stock is overpriced, and an investor should buy LIC shares.

  3. C

    The LIC stock is underpriced, and an investor should sell LIC shares.

  4. D

    The LIC stock is overpriced, and an investor should sell LIC shares.

Show answer

Correct answer

  • A

    The LIC stock is underpriced, and an investor should buy LIC shares.

Question 7

+4 marksOne correct option

Suppose an investment costs Rs 6,000 today and pays off Rs 7,500 after two years. What is the internal rate of return on this investment?

  1. A

    25.00%

  2. B

    17.47%

  3. C

    11.80%

  4. D

    8.64%

Show answer

Correct answer

  • C

    11.80%

Question 8

+4 marksOne correct option

There is a project which requires an initial investment of 500 units today. This project pays off 250 units after 2 years, 250 units after 4 years and 250 units after 6 years. If the prevailing constant interest rate in the economy is 10% (compounded annually) then what is the profitability index of the project?

  1. A

    18.48

  2. B

    4.68

  3. C

    1.04

  4. D

    0.80

Show answer

Correct answer

  • C

    1.04

Question 9

+4 marksOne correct option

Consider the following three projects which have initial cost of Rs 5,000 today:
Project 1: It pays Rs 200 starting next year and pays the same amount for 50 years.
Project 2: It pays Rs 8,000 after five years from today. There are no interim payments. Project 3: It pays Rs 2000 next year and Rs 4000 two years from today.
Assume that the prevailing interest rate is 4%; which of the projects has the least payback period?

  1. A

    All three projects have the same payback period.

  2. B

    Project 1

  3. C

    Project 2

  4. D

    Project 3

Show answer

Correct answer

  • D

    Project 3

Question 10

+4 marksOne correct option

A project earns a total of 30% return in two years. If the annual return in the first year is 12%, then what is the annual return in the second year? (Round off to nearest integer)

  1. A

    16%

  2. B

    18%

  3. C

    20%

  4. D

    30%

Show answer

Correct answer

  • A

    16%

Question 11

+4 marksOne correct option

What is the annualized rate of return of an investment of 500 units that promises to return 800 units in 8 years?

  1. A

    60.0%

  2. B

    16.0%

  3. C

    8.17%

  4. D

    6.05%

Show answer

Correct answer

  • D

    6.05%

Question 12

+4 marksOne correct option

Consider a bond that pays Rs 400 in 3 years and Rs 600 in 5 years. What are the maturity and duration of the bond, respectively?

  1. A

    5 years, 4.2 years

  2. B

    4.2 years, 5 years

  3. C

    5 years, 5 years

  4. D

    5 years, 3 years

Show answer

Correct answer

  • A

    5 years, 4.2 years

Question 13

+4 marksOne correct option

The table below relates to the economy of Galaland, where the typical consumer’s market basket consists of 1 pair of clothes and 3 packets of food.

YearPrice of a pair of clothesPrice of a packet of food
2017Rs 400Rs 30
2018Rs 380Rs 50
2019Rs 390Rs 70

If the base year is 2017, then the economy’s inflation rate (as measured by CPI) in 2018 is

  1. A

    8.16%

  2. B

    22.45%

  3. C

    -8.16%

  4. D

    -22.45%

Show answer

Correct answer

  • A

    8.16%

Question 14

+4 marksOne correct option

Assume Ramesh earns Rs 100 in period 1 and Rs 150 in period 2. He spends his earnings on consumption in both periods. The prices of consumption good in period 1 and period 2 are the same (equal to 1). If the prevailing interest rate is 25%, then the slope of the intertemporal budget constraint

  1. A

    1.25

  2. B

    0.80

  3. C

    -0.80

  4. D

    -1.25

Show answer

Correct answer

  • D

    -1.25

Question 15

+4 marksOne correct option

In 2024, the nominal interest rate in the economy of Gondwana is 12%, and the real rate of interest is reported as 8%. What is the expected inflation rate for 2025 in the economy of Gondwana?

  1. A

    3.70%

  2. B

    5.42%

  3. C

    7.60%

  4. D

    11.61%

Show answer

Correct answer

  • A

    3.70%

Question 16

+4 marksOne correct option

Your portfolio consists of two blue bonds: each has a face value of 100 units and a probability of default pb=15%p_b = 15\%. The blue bonds are perfectly correlated with each other (γ=1\gamma = 1). Through securitization, you are able to create two new bonds with face value: a senior bond and a junior bond. When none of the blue bonds defaults, each of the new bonds is paid a face value of 100. If any one of the blue bonds defaults, the senior bond is paid the face value of 100 while the junior bond suffers the loss and is paid 0. In case both the blue bonds default, none of the new bonds pay off. What is the probability that the junior bond will result in default?

  1. A

    30%

  2. B

    22.5%

  3. C

    15%

  4. D

    2.25%

Show answer

Correct answer

  • C

    15%

Question 17

+4 marksOne correct option

What type of yield curve is often associated with an impeding recession?

  1. A

    Upward sloping yield curve

  2. B

    Inverted yield curve

  3. C

    Humped yield curve

  4. D

    Flat yield curve

Show answer

Correct answer

  • B

    Inverted yield curve

Question 18

+4 marksOne correct option

Suresh wants to build a house. He takes a home loan of Rs 5,00,000 at a 2% monthly interest rate for 10 years. What would be the equated monthly instalment (EMI) that he will be paying each month for the next 10 years, beginning next month (Round off to nearest integer)?

  1. A

    Rs 4,167

  2. B

    Rs 5,000

  3. C

    Rs 9,462

  4. D

    Rs 11,024

Show answer

Correct answer

  • D

    Rs 11,024

Question 19

+4 marksOne correct option

Which of the following statements is true about the internal rate of return?

  1. A

    The internal rate of return is the rate at which the net present value of the cashflows is maximized.

  2. B

    The internal rate of return is the rate at which the net present value of the cashflows is zero.

  3. C

    The internal rate of return is the rate at which the net present value of the cashflows is minimized.

  4. D

    The internal rate of return is always greater than the cost of capital.

Show answer

Correct answer

  • B

    The internal rate of return is the rate at which the net present value of the cashflows is zero.

Question 20

+4 marksOne correct option

You believe in the power of compounding and decide to save Rs 100 per day by avoiding consumption of junk food. You deposit Rs 100 at the end of each day in a bank account that pays 3.65% annual interest rate compounded daily. How much money will you have in 2 years, assuming 365 days per year (use banking convention: daily interest rate = r/365, round off to the nearest integer)?

  1. A

    Rs 73,000

  2. B

    Rs 75,727

  3. C

    Rs 81,234

  4. D

    Rs 85,000

Show answer

Correct answer

  • B

    Rs 75,727

Question 21

+4 marksOne correct option

In 2024, the GDP deflator is 112 in the economy of Pangia. If the nominal GDP is accounted as 14,000 units in 2024, then what is the value of real GDP in 2024 for Pangia?

  1. A

    15,680 units

  2. B

    14,000 units

  3. C

    12,500 units

  4. D

    10,000 units

Show answer

Correct answer

  • C

    12,500 units

Question 22

+4 marksOne correct option

What is the annualized rate of return of an investment of Rs 10,000 that promises to return 20,000 in 5 years?

  1. A

    14.87%

  2. B

    11.61%

  3. C

    7.18%

  4. D

    20.00%

Show answer

Correct answer

  • A

    14.87%

Question 23

+4 marksOne correct option

Which of the following statements is correct?

  1. A

    Stocks of a company are an example of fixed income security.

  2. B

    The price of a bond increases if the interest rate offered on that bond increases.

  3. C

    Shares of a company have a maximum maturity of 5 years.

  4. D

    A zero-coupon bond pays only at maturity. There are no interim payments.

Show answer

Correct answer

  • D

    A zero-coupon bond pays only at maturity. There are no interim payments.

Question 24

+4 marksOne correct option

Sahitya Inc. is considering two different projects, A and B, for investment and can choose at most one project to invest in. Project A costs Rs 12,000 and is expected to generate Rs 5,000 in year one and Rs 10,000 in year two. Project B costs Rs 10,000 and is expected to generate Rs 5,000 in year one, Rs 4,000 in year two, Rs 3,000 in year three, and Rs 2,000 in year four. Sahitya Inc.’s required rate of return for these projects is 5%. Suppose at most one project can be chosen. Which of the following is true?

  1. A

    Sahitya Inc. should prefer Project B as it has a higher net present value than Project A.

  2. B

    Sahitya Inc. should prefer Project A as it has a higher net present value than Project B.

  3. C

    Sahitya Inc. is indifferent between Project A and Project B as both have the same net present value.

  4. D

    Sahitya Inc. should not invest in either projects A or B as both have a negative net present value.

Show answer

Correct answer

  • A

    Sahitya Inc. should prefer Project B as it has a higher net present value than Project A.

Question 25

+4 marksOne correct option

Which of the following is not a credit rating agency?

  1. A

    Standard and Poor’s

  2. B

    Standard Chartered

  3. C

    Moody’s

  4. D

    Fitch

Show answer

Correct answer

  • B

    Standard Chartered