Question 1
What should be the rate of interest per year (annually compounded) so that your money triples in 10 years?
5.42%
7.60%
11.61%
20.00%

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.
What should be the rate of interest per year (annually compounded) so that your money triples in 10 years?
5.42%
7.60%
11.61%
20.00%
Correct answer
11.61%
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)?
Rs 12,000
Rs 8,196
Rs 7,772
Rs 6,000
Correct answer
Rs 7,772
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)?
Rs 382
Rs 500
Rs 635
Rs 655
Correct answer
Rs 655
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?
Rs 40,000
Rs 10,000
Rs 8,000
Rs 4,000
Correct answer
Rs 10,000
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?
8.32%
12.50%
16.81%
50.00%
Correct answer
16.81%
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
The LIC stock is underpriced, and an investor should buy LIC shares.
The LIC stock is overpriced, and an investor should buy LIC shares.
The LIC stock is underpriced, and an investor should sell LIC shares.
The LIC stock is overpriced, and an investor should sell LIC shares.
Correct answer
The LIC stock is underpriced, and an investor should buy LIC shares.
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?
25.00%
17.47%
11.80%
8.64%
Correct answer
11.80%
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?
18.48
4.68
1.04
0.80
Correct answer
1.04
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?
All three projects have the same payback period.
Project 1
Project 2
Project 3
Correct answer
Project 3
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)
16%
18%
20%
30%
Correct answer
16%
What is the annualized rate of return of an investment of 500 units that promises to return 800 units in 8 years?
60.0%
16.0%
8.17%
6.05%
Correct answer
6.05%
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?
5 years, 4.2 years
4.2 years, 5 years
5 years, 5 years
5 years, 3 years
Correct answer
5 years, 4.2 years
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.
| Year | Price of a pair of clothes | Price of a packet of food |
|---|---|---|
| 2017 | Rs 400 | Rs 30 |
| 2018 | Rs 380 | Rs 50 |
| 2019 | Rs 390 | Rs 70 |
If the base year is 2017, then the economy’s inflation rate (as measured by CPI) in 2018 is
8.16%
22.45%
-8.16%
-22.45%
Correct answer
8.16%
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
1.25
0.80
-0.80
-1.25
Correct answer
-1.25
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?
3.70%
5.42%
7.60%
11.61%
Correct answer
3.70%
Your portfolio consists of two blue bonds: each has a face value of 100 units and a probability of default . The blue bonds are perfectly correlated with each other (). 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?
30%
22.5%
15%
2.25%
Correct answer
15%
What type of yield curve is often associated with an impeding recession?
Upward sloping yield curve
Inverted yield curve
Humped yield curve
Flat yield curve
Correct answer
Inverted yield curve
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)?
Rs 4,167
Rs 5,000
Rs 9,462
Rs 11,024
Correct answer
Rs 11,024
Which of the following statements is true about the internal rate of return?
The internal rate of return is the rate at which the net present value of the cashflows is maximized.
The internal rate of return is the rate at which the net present value of the cashflows is zero.
The internal rate of return is the rate at which the net present value of the cashflows is minimized.
The internal rate of return is always greater than the cost of capital.
Correct answer
The internal rate of return is the rate at which the net present value of the cashflows is zero.
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)?
Rs 73,000
Rs 75,727
Rs 81,234
Rs 85,000
Correct answer
Rs 75,727
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?
15,680 units
14,000 units
12,500 units
10,000 units
Correct answer
12,500 units
What is the annualized rate of return of an investment of Rs 10,000 that promises to return 20,000 in 5 years?
14.87%
11.61%
7.18%
20.00%
Correct answer
14.87%
Which of the following statements is correct?
Stocks of a company are an example of fixed income security.
The price of a bond increases if the interest rate offered on that bond increases.
Shares of a company have a maximum maturity of 5 years.
A zero-coupon bond pays only at maturity. There are no interim payments.
Correct answer
A zero-coupon bond pays only at maturity. There are no interim payments.
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?
Sahitya Inc. should prefer Project B as it has a higher net present value than Project A.
Sahitya Inc. should prefer Project A as it has a higher net present value than Project B.
Sahitya Inc. is indifferent between Project A and Project B as both have the same net present value.
Sahitya Inc. should not invest in either projects A or B as both have a negative net present value.
Correct answer
Sahitya Inc. should prefer Project B as it has a higher net present value than Project A.
Which of the following is not a credit rating agency?
Standard and Poor’s
Standard Chartered
Moody’s
Fitch
Correct answer
Standard Chartered