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Financial and Investment Mathematics Sample Credit Test 1. Today you deposit 15 000 USD to an account with interest 8% pa. How much money you will have after four years: With an interest added yearly With interest earned once per year Once quarterly carned interest Monthly cared interest 2. Which bond we will choose (buy) if our only criterion is yield to maturity? a) Consol bond with a price of 1 mil. USD and with an annual coupon of 50 000 USD b) Zero-coupon bond with a maturity of 3 years, face value of 100 000 USD and price of 78 500 USD 3. Consider a bond with a face value of 5 000 USD, coupon rate of 10% and yield of 5%. Coupons are paid always to March 15th. The maturity of bond is March 152022. Calculate the net price of the bond to the following dates: a. 24th of May 2020 b. 24th of November 2020 4. We would like to invest 3 mil. USD and we have two bonds: A....maturity=5, coupon rate=8%, YTM=10%, FV=80 USD B...maturity-2, coupon rate 12%, YTM=11%, FV=150 USD Investment horizon is 4 years. How many pieces of bonds A and B should we buy? 5. Consider portfolio with weights a, = 0,3 and az = 0,7. There are 4 possible scenarios: Scenario Probability of scenario Yield of A, Yield of Az 0.2 Tu = 5% T22 = 4% T22 = 3% 0,1 Ta = 9% T2 = 2% 0,3 = -2% The = 7% Calculate covariance matrix of the yields of these stocks and a yield and a risk of portfolio