Exercise 5.1 Suppose you pay 10 to buy a European (K = 100, t = 2) call option on a given security. Assuming a continuously compounded nominal annual interest rate of 6 percent, find the present value of your return from this investment if the price of the security at time 2 is (a) 110; (b) 98.

6. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security currently worth $9,200 will be worth $15,767.18 seven years in the future, what is the implied interest rate the investor will earn on the security-assuming that no additional deposits or withdrawals are made? 5.83% O6.40% 8.00% O 1.71 % If an investment of $50,000 is earning an interest rate of 8.00%, compounded annually, then it will take a value of $89,052.92-assuming that no additional deposits or withdrawals are made during this time. for this investment to reach Which of the following statements is true-assuming that no additional deposits or withdrawals are made? An investment of $25 at an annual rate of 10% will return a higher value in five years than $50 invested at an annual rate of 5% in the same time. An investment of $50 at an annual rate of…

5. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security currently worth $9,200 will be worth $15,767.18 seven years in the future, what is the implied interest rate the investor will earn on the security-assuming that no additional deposits or withdrawals are made? O 8.00% O 5.83% 1.71% O 0.24% If an investment of $50,000 is earning an interest rate of 8.00%, compounded annually, then it will take a value of $89,052.92-assuming that no additional deposits or withdrawals are made during this time. Which of the following statements is true-assuming that no additional deposits or withdrawals are made? O If you invest $1 today at 15% annual compound interest for 82.3753 years, you'll end up with $100,000. O If you invest $5 today at 15% annual compound interest for 82.3753 years, you'll end up with $100,000. for…

?Q.19 Consider a European call option with the following parameters: Assuming a risk-free annual rate of 8%, what is the probability that the option will be exercised in a risk- neutral world? (If required, use the table at the beginning of the document for statistical calculations.) Strike price USD 48 Expiration 6 months Underlying's Price USD 50 Annual volatility 25% A B C 0.70 0.5761 0.6443 D 0.3668

Problem 7: A. In terms of present value, which of the following options is worth more? Is there an interest rate at which the values switch rank? If so, what is the rate at which the switch occurs? Option 1: $100 every year with the first payment in 1.5 years. Option 2: $50 every 6 months with the first payment in 1 year. Option 3: $50 every 6 months with the first payment in 1.5 years. B. In terms of present value, which of the following options is worth more? Is there an interest rate at which the values switch rank? If so, what is the rate at which the switch occurs? Option 4: $100 every year with the first payment in 1 year. Option 5: $95 every year with the first payment in .5 years.

Question 1 Help = 1. Find the expected profit for a holder of a European call option with K = 94 to be exercised in six months if the stock price at maturity is ST (90, 96, 98) with probabilities p = (1, 1, 1), given that the option is bought for Co= 10 financed by a loan at the interest rate of 10% (per annum).

5. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security currently worth $2,000 will be worth $3,524.68 five years in the future, what is the implied interest rate the investor will earn on the security-assuming that no additional deposits or withdrawals are made? O 12.00% O 1.76% O 0.35% O 5.67% If an investment of $40,000 is earning an interest rate of 8.00%, compounded annually, then it will take for this investment to reach a value of $56,554.46-assuming that no aditional deposits or withdrawals are made during this time. Which of the following statements is true-assuming that no additional deposits or withdrawals are made? O If you invest $1 today at 15% annual compound interest for 82.3753 years, you'll end up with $100,000. O If you invest $5 today at 15% annual compound interest for 82.3753 years, you'll…

5. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security currently worth $12,800 will be worth $16,843.93 seven years in the future, what is the implied interest rate the investor will earn on the security—assuming that no additional deposits or withdrawals are made? 7.60%   0.19%   4.00%   1.32%     If an investment of $40,000 is earning an interest rate of 4.00%, compounded annually, then it will take     for this investment to reach a value of $53,679.69—assuming that no additional deposits or withdrawals are made during this time.   Which of the following statements is true—assuming that no additional deposits or withdrawals are made? It takes 14.21 years for $500 to double if invested at an annual rate of 5%.   It takes 10.50 years for $500 to double if invested…

10. Findingthe interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security of $12,000 will be worth $14,292.19 three years in the future, assuming that no additional deposits or withdrawals are made, what is the implied interest rate the investor will earn on the security? 4.50%   4.80%   6.00%   7.20%     If an investment of $45,000 is earning an interest rate of 8.50% compounded annually, it will take     for this investment to grow to a value of $79,656.40—assuming that no additional deposits or withdrawals are made during this time.   Which of the following statements is true, assuming that no additional deposits or withdrawals are made?   If you invest $5 today at 15% annual compound interest for 82.3753 years, you’ll end up with approximately $100,000. If you invest $1 today at 15%…

4. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security currently worth $5,600 will be worth $12,379.82 seven years in the future, what is the implied interest rate the investor will earn on the security—assuming that no additional deposits or withdrawals are made? 12.00%   4.52%   9.60%   0.32%     If an investment of $35,000 is earning an interest rate of 4.00%, compounded annually, then it will take     for this investment to reach a value of $44,286.17—assuming that no additional deposits or withdrawals are made during this time.   Which of the following statements is true—assuming that no additional deposits or withdrawals are made? If you invest $1 today at 15% annual compound interest for 82.3753 years, you’ll end up with $100,000.   If you invest $5 today at…