Question
In the CAPM model, the expected return is expressed
as: E(R)=Rf+β(Rm−Rf) Here, what does the risk-free rate (Rₓ) represent or compensate the investor for?Solution
• In the Capital Asset Pricing Model (CAPM), the risk-free rate (Rₓ) is the minimum return an investor expects for providing capital without assuming any additional risk. • It compensates only for the time value of money—the idea that money available today is worth more than the same amount in the future due to its earning potential. • The risk premium [β(Rm – Rf)] compensates for the systematic risk (market risk) associated with the investment. • In practice, a true risk-free asset does not exist, but long-term government securities (like the 10-year G-sec in India) are used as proxies.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 32x + 252 = 0
Equation 2: y² - 30y + 221 = 0
I. 3x2 – 17x + 10 = 0
II. y2 – 17y + 52 = 0
I. y/16 = 4/yÂ
II. x3 = (2 ÷ 50) × (2500 ÷ 50) × 42 × (192 ÷ 12)
Between what values of x is the expression 19x - 2x2Â - 35 positive?
I. 12a2 – 55a + 63 = 0
II. 8b2 - 50 b + 77 = 0
...I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
Equation 1: x² - 180x + 8100 = 0
Equation 2: y² - 170y + 7225 = 0
I. 40x² + 81x + 35 = 0
II. 63y² + 103y + 42 = 0
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
I. 2x2 + 5x + 2 = 0
II. 4y2 = 1