Hydra Capital offers a range of 1-year investment products for customers. The details for two such investment products are as follows: "Investment A" is a security tied to market performance. For an initial investment of $100, the security, one year from today, will be worth $140 if the market is good" $105 if the market is "moderate", and $80 if the market is "bad nvestment B" is security nito tied to the performance of the market. However, it performs botter the worse the market in doing for an initial Investment of $100, the second security, one year from today, will be worth: $70 if the market is "good" $90 if the market is "moderate", and $170 if the market is "bad" Bob is a prospective investor looking at Hydra Capital's investment products. He has studied the market and concludes that over the coming year, there is a 30% chance the economy will be "good", 45% chance the market will be moderate", and a 25% chance the market will be "bad" a) Bob spends $100 on vestment A", what is his expected return for the year, assuming he is correct about the economy over the coming year 12 mars b) What is the variance and standard deviation for the return on investment A"? (2 marks) c) lr Bob spends $100 on investment B" what is his expected return for the year? (2 marka) Bob considers both products, and ultimately decides to spend $700 on investment and $300 on investment B to construct his investment portfolio d) Determine the value of Bob's portfolio after one year under each of the three possibilities for the market. Clearly label each case (1 mark) e) What is the expected return on Bob's portfolio? (1 mark) 1) Calculate the variance and standard deviation of the return on Bob's portfolio (2 marks) Hydra Capital offers a range of 1-year investment products for customers. The details for two such investment products are as follows: "Investment A" is a security tied to market performance. For an initial investment of $100, the security, one year from today, will be worth $140 if the market is good" $105 if the market is "moderate", and $80 if the market is "bad nvestment B" is security nito tied to the performance of the market. However, it performs botter the worse the market in doing for an initial Investment of $100, the second security, one year from today, will be worth: $70 if the market is "good" $90 if the market is "moderate", and $170 if the market is "bad" Bob is a prospective investor looking at Hydra Capital's investment products. He has studied the market and concludes that over the coming year, there is a 30% chance the economy will be "good", 45% chance the market will be moderate", and a 25% chance the market will be "bad" a) Bob spends $100 on vestment A", what is his expected return for the year, assuming he is correct about the economy over the coming year 12 mars b) What is the variance and standard deviation for the return on investment A"? (2 marks) c) lr Bob spends $100 on investment B" what is his expected return for the year? (2 marka) Bob considers both products, and ultimately decides to spend $700 on investment and $300 on investment B to construct his investment portfolio d) Determine the value of Bob's portfolio after one year under each of the three possibilities for the market. Clearly label each case (1 mark) e) What is the expected return on Bob's portfolio? (1 mark) 1) Calculate the variance and standard deviation of the return on Bob's portfolio (2 marks)
