Question 1
Diversification works well if two investment opportunities always move in the opposite direction.
TRUE
FALSE

The IIT Madras BS Corporate Finance (Corporate Finance) End Term paper sat on 13 Apr 2025, in the January 2025 term: 35 questions for 100 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
Diversification works well if two investment opportunities always move in the opposite direction.
TRUE
FALSE
Correct answer
TRUE
If a project has a negative beta with respect to the market, it means that it tends to go up when market goes down.
TRUE
FALSE
Correct answer
TRUE
Holding everything else constant, risk-averse investors would prefer to pay more for the assets that have higher market betas.
TRUE
FALSE
Correct answer
FALSE
According to capital asset pricing model, risk premia will be proportional to exposure to systematic risk and independent of firm-specific risk.
TRUE
FALSE
Correct answer
TRUE
Security market line graphs a relationship between the expected rate of return of a project and its beta.
TRUE
FALSE
Correct answer
TRUE
Overpriced stocks would lie below the security market line.
TRUE
FALSE
Correct answer
TRUE
The efficient-market hypothesis says that financial markets are effective in processing and reflecting all available information.
TRUE
FALSE
Correct answer
TRUE
The intrinsic value of at-the-money call options is zero.
TRUE
FALSE
Correct answer
TRUE
The value of put option increases with stock price.
TRUE
FALSE
Correct answer
FALSE
A call option has a negative delta while a put option has a positive delta.
TRUE
FALSE
Correct answer
FALSE
A call option holder is obliged to purchase the asset for a specified price on or before the expiration date.
TRUE
FALSE
Correct answer
FALSE
A European option can be exercised before the expiration date.
TRUE
FALSE
Correct answer
FALSE
Financial trilemma states that an economy cannot achieve financial stability, total national control over financial safeguard policy and free capital mobility simultaneously.
TRUE
FALSE
Correct answer
TRUE
An asset is considered safe if it gives the holder different payoffs across a wide variety of possible future scenarios.
TRUE
FALSE
Correct answer
FALSE
Sharpe ratio is defined as the ratio of expected return of the asset to the standard deviation of excess returns.
TRUE
FALSE
Correct answer
FALSE
There is a risky asset that has an expected rate of return of 15% and a standard deviation of 10%. If the risk-free rate of return is 4%, then what is the slope of capital allocation line passing through the given risky asset?
1.5
1.1
1.0
0.4
Correct answer
1.1
Sarita is considering investing in an opportunity that promises to pay Rs 5,000 in one year, Rs 10,000 in two years and Rs 20,000 in three years. If the prevailing constant rate of return is 10%, then what is maximum price that Sarita should agree to pay for the project? (Round off to the nearest integer)
Rs 35,000
Rs 27,836
Rs 24,174
Rs 20,000
Correct answer
Rs 27,836
Suppose that the interest rate at a point of time in Thailand is 9%, and the interest rate at that point of time in China is 4%. What is the expected rate of appreciation of THB to CNY exchange rate at that point of time? (Note: Currency of Thailand is THB and currency of China is CNY)
-4.59%
-2.85%
2.85%
4.59%
Correct answer
-4.59%
The price of a one-year European call option on a non-dividend-paying stock with a strike price of Rs 120 is Rs 15. The stock price is Rs 115, and the annual risk-free rate of return is 8% (continuously compounded). What is the price of a one-year European put option on the same stock with a strike price of Rs 120?
Rs 2.45
Rs 6.24
Rs 10.77
Rs 16.37
Correct answer
Rs 10.77
Suppose that in the Black-Scholes pricing formula for a put option, we have N(d1)=0.4 and N(d2)=0.7. If the stock price increases by Rs 1, then what will be the change in the price of the put option?
The put option price increases by Rs 1.
The put option price increases by Rs 0.6.
The put option price decreases by Rs 0.6.
The put option price decreases by Rs 0.4.
Correct answer
The put option price decreases by Rs 0.6.
A company has two divisions: production division and sales division. The production division has a beta of 1.2 and the sales division has a beta of 1.8. The production division has the 70% of company’s assets and 30% of company’s assets are in sales division. What is the company’s overall beta?
1.08
1.38
1.58
1.88
Correct answer
1.38
Suppose the risk-free rate of return is 2% and the expected market return is 10%. If the beta of an asset X is 1.5, then according to CAPM, what is the expected rate of return on asset X?
8%
10%
14%
18%
Correct answer
14%
A risky asset has an expected rate of return of 12% and standard deviation of the rate of return of 20%. If the Sharpe ratio of this risky asset is 0.5, then what is the prevailing risk-free rate of return?
2%
4%
6%
8%
Correct answer
2%
A one-year call option with a strike price of Rs 20 is selling at a call premium of Rs 2. A one-year put option with a strike price of Rs 20 is selling at put premium of Rs 1. The current share price is Rs 22. One year later, the share price increases to Rs 25.
If you purchase one call option and one put option, then you make a profit of Rs 5.
If you purchase one call option and one put option, then you make a profit of Rs 4.
If you purchase one call option and one put option, then you make a profit of Rs 3.
If you purchase one call option and one put option, then you make a profit of Rs 2.
Correct answer
If you purchase one call option and one put option, then you make a profit of Rs 2.
Suppose you take a long position in the stock and write a call option on the stock. This strategy is referred to as
Covered call
Protective put
Straddle
Strip
Correct answer
Covered call
Your opinion is that Akola Inc stock has an expected rate of return of 12%. Akola Inc has a beta of 1.6. The risk-free rate of return is 6%, and the expected market rate of return is 10%. According to the capital asset pricing model
Akola Inc stock is overpriced.
Akola Inc stock is underpriced.
Akola Inc has an alpha of 0.4%.
Akola Inc has an alpha of -0.4%.
Correct answers
Akola Inc stock is overpriced.
Akola Inc has an alpha of -0.4%.
Cisco Inc. has an expected rate of return of 10% and standard deviation of rate of return of 15%. The expected market return is 6% and the standard deviation of market return is 5%. Cisco Inc. has a correlation coefficient with the market of 0.5. Then,
The market beta of Cisco Inc. is 1.5.
The market beta of Cisco Inc. is 3.
If the market returns a rate of return of 8%, then one would expect Cisco Inc. to have a rate of return of 13%.
If the market returns a rate of return of 8%, then one would expect Cisco Inc. to have a rate of return of 16%.
Correct answers
The market beta of Cisco Inc. is 1.5.
If the market returns a rate of return of 8%, then one would expect Cisco Inc. to have a rate of return of 13%.
A trader buys a put option on a stock with a strike price of Rs 48 when the option price is Rs 5. The trader makes a profit when the stock price is
Rs 30
Rs 40
Rs 50
Rs 60
Correct answers
Rs 30
Rs 40
The put-call parity states that
The price of a European put option must equal the European call option price plus the present value of the strike price minus the stock price.
The price of a European call option must equal the European put option price plus the present value of the strike price minus the stock price.
The price of a European put option must equal the European call option price plus the stock price minus the present value of the strike price.
The price of a European call option must equal the European put option price plus the stock price minus the present value of the strike price.
Correct answers
The price of a European put option must equal the European call option price plus the present value of the strike price minus the stock price.
The price of a European call option must equal the European put option price plus the stock price minus the present value of the strike price.
Suppose only one variable is change at a time, then the value of a put option increases with
Stock price
Exercise price
Volatility of stock price
Interest rate
Correct answers
Exercise price
Volatility of stock price
Security A has an expected return of 14% and a standard deviation of 20%. Security B has an expected return of 18% and a standard deviation of 25%. Suppose that the rates of return of the two securities have a correlation coefficient of 0.8. Based on the given information select the correct statements from below.
The covariance of security A and security B is 4%.
If an investor invests half of his wealth in security A and remaining half wealth in security B, then his portfolio’s expected return is 16%.
If an investor invests half of his wealth in security A and remaining half wealth in security B, then his portfolio’s standard deviation is 21.36%.
If an investor wants to build a portfolio with expected rate of return 15%, then he should invest 25% of wealth in security A and remaining 75% wealth in security B.
Correct answers
The covariance of security A and security B is 4%.
If an investor invests half of his wealth in security A and remaining half wealth in security B, then his portfolio’s expected return is 16%.
If an investor invests half of his wealth in security A and remaining half wealth in security B, then his portfolio’s standard deviation is 21.36%.
If an investor wants to build a portfolio with expected rate of return 15%, then he should invest 25% of wealth in security A and remaining 75% wealth in security B.
The current price of a non-dividend-paying stock is Rs 60. Over the next three months, it is expected to rise to Rs 70 or fall to Rs 50. Assume the risk-free rate is zero. A three-month call option with a strike price of Rs 65 is trading at Rs 5. Select the correct statements based on the given information.
The hedge ratio for the given call option is 0.25.
If share price changes by Rs 1, the call option price changes by Rs 0.5.
The purchase of one share can be hedged with 4 call options.
The purchase of one share can be hedged with 2 call options.
Correct answers
The hedge ratio for the given call option is 0.25.
The purchase of one share can be hedged with 4 call options.
A stock is trading at Rs 100 today. In 6 months, the stock price can either increase to Rs 120 or decrease to Rs 90. The six-month risk-free rate is 2%. A six-month call option has an exercise price of Rs 110. Select the correct statements based on the given information.
The risk-neutral probability that stock price increases is 40%.
The risk-neutral probability that stock price increases is 60%.
According to risk-neutral approach, the price of call option is Rs 3.92.
According to risk neutral approach, the price of call option is Rs 5.88.
Correct answers
The risk-neutral probability that stock price increases is 40%.
According to risk-neutral approach, the price of call option is Rs 3.92.
The current share price of HCL is Rs 600. HCL is expected to pay a dividend of Rs 25 per share next year. The appropriate rate of return is 8% per year and the HCL dividend is expected to grow at a rate of 3% every year. Then, according to Gordon Growth model
HCL stock is underpriced.
HCL stock is overpriced.
An investor should buy HCL shares.
An investor should sell HCL shares.
Correct answers
HCL stock is overpriced.
An investor should sell HCL shares.
Consider a put option and a call option with same strike price and time to maturity. Which of the following statements is correct?
If the put option is in the money, the call option will be in the money.
If the call option is in the money, the put option will be out of the money.
If the put option is at the money, the call option will also be at the money.
If the call option is at the money, the put option will be out of the money.
Correct answers
If the call option is in the money, the put option will be out of the money.
If the put option is at the money, the call option will also be at the money.