The prices of a stock are given in the table on the right.

Quantitative Methods for Finance

Practice Questions for Lecture 4

1.   The prices of a stock are given in the table on the right.

(a)    What is R2 ?

What is R(3) ?

(c)    What is r3 ?

2.   The prices of a stock are given in the table on the right. Calculate

(a)    R2, R3, and R4.

(b) 𝑅(2), 𝑅(3), and 𝑅(3)


t

Pt

1

51

2

56

3

53

(c) r3 and r5

(d) 𝑟(2), 𝑟(3), and 𝑟(3)

3.The prices of a stock in months 1-5 are given below. Please compute the corresponding single-period, multi- period net, gross and logarithmic returns and fill in the blanks in the table.

t

Pt

Rt

1+Rt

1 + 𝑅3

𝑡

rt

r(3)

1

200

×

×

×

×

×

2

192

 

 

×

 

×

3

198

 

 

×

 

×

4

206

 

 

 

 

 

5

210

 

 

 

 

 

 

4. True or False questions

(1)    The k-period log return is the product of k terms of single-period log returns.

(2)    Log returns are also called continuously-compounded returns.

(3)    Random walks imply that stock prices are predictable.

(4)    The continuous-time version of a random walk is a Brownian motion.

1(a) 9.80%

1(b) 13.73%

1(c) -5.51%

2(a) 2.78%, -4.17%, -2.78%

2(b) -4.17%, -2.78%, -4.05%

2(c) -7.00%, 1.42%

2(d) -4.26%, -2.82%, -1.40%

3. Do it by yourself 4. (2)

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