9. An elementary single period market model contains a risk-free asset with interest rate r = 5% and a risky asset S which has price 30 at time t = 0 and will have either price 10 or 60 at time t = 1. Find a replicating strategy for a contingent claim with payoff h(S₁) = max(20 - S₁, 0) + max(S₁ — 50, 0). Total [8 Marks]

The real risk-free rate (r*) is 2.8% and is expected to remain constant. Inflation is expected to be 7% per year for each of the next four years and 6% thereafter. The maturity risk premium (MRP) is determined from the formula: 0.1(t-1) %, where t is the security's maturity. The liquidity premium (LP) on all Rinsemator Group's bonds is 1.05%. The following table shows the current relationship between bond ratings and default risk premiums (DRP): Rating U.S. Treasury AAA AA A BBB O 10.77% 11.82% Rinsemator Group issues 7-year, AA-rated bonds. What is the yield on one of these bonds? Disregard cross-product terms; that is, if averaging is required, use the arithmetic average. O 5.25% Default Risk Premium O 11.22% 0.60% 0.80% 1.05% 1.45% Based on your understanding of the determinants of interest rates, if everything else remains the same, which of the following will be true? A BBB-rated bond has a lower default risk premium as compared to an AAA-rated bond. O The yield on an AAA-rated…

Assume (FT2 = FT1 (1 + TIT2) + T1CT2 is the equilibrium situation. Also assume that T2- T1 is one year, that T1CT2 = $1 and that TirT2 = 10%. %3D Assume the initial prices are FOT1 = 100 & FOT2 = 133. A trader goes long the FT1 contract and short the FT2 contract believing these are not equilibrium prices and that he will profit when they adjust to equilibrium. Say the next day, t+ 1, the t+1FT1 price moves to 115 and t+1FT2 adjusts to an equilibrium price. If the trader round trips his positions on day t+1, what is his profit or loss on the FT2 position? profit of 11 loss of 11 cannot be determined from the information given profit of 5.5

A standard "money demand" function used by macroeconomists has the form In(m) = fo + B,In(GDP) + 62R, Where m is the quantity of (real) money, GDP is the value of (real) gross domestic product, and R is the value of the nominal interest rate measured in percent per year. Supposed that B, = 2.28 and B2 = - 0.09. What is the expected change in m if GDP increases by 1%? The value of m is expected to increase by approximately 2 %. (Round your response to the nearest integer) What is the expected change in m if the interest rate increases from 1% to 6%? The value of m is expected to decrease by approximately 45 %. (Round your response to the nearest integer)

Suppose you have inherited K100,000 from your father-in-law that can be invested in a combination of only two stock portfolios, with the maximum investment allowed in either portfolio set at K75,000 . The first portfolio has an average rate of return of 10%, whereas the second has 20%. In terms of risk factors associated with these portfolios, the first has a risk rating of 4 (on a scale 0 to 10), and the second has 9. Since you wish to maximize your return, you will not accept an average rate of return below 12% or risk factor above 6. Formulate the linear programming model for the problem. How much should you invest in each portfolio? Solve the problem by simplex method.

2. An insurance company uses the model above to calculate premiums for a special T-year term life insurance policy. The basic sum insured is $100,000, but the death benefit is $150,000 if death occurs as a result of an accident. The death benefit is payable immediately on death. Premi- ums are payable continuously throughout the term. The effective rate of interest is 3% per year and there are no expenses. The policy is issued to a life aged 35. 毎回 (ii) (iii) calculate the annual premium for this policy calculate the policy value at time 1, 2, 1-2, 1-1 and t in state Q comment on the results in (ii)

is 200,000, what is the expected population after 5 years? tion of a certain city in the southwest will increase by 8% during each of the next 5 years. If the current population POPULATION GROWTH It has been projected that the popula- during each of the next 5 years. If the current population is 200,000, what is the expected population after 5

77. During a period of decline in stock market prices a stock sold at Rs. 50 per share on one day Rs. 40 on the next day and Rs. 25 on the third. (1) If an investor bought 100, 120 and 180 shares on the respective three days, find the average price paid per share. (ti) If the investor bought Rs. 1000 worth of shares on each of the three days, find the average price paid per share. IB.A. (H) Econ. Delhi Univ.. 2007: B.Com...

Suppose the Marginal product of labor in the economy is given by MPN= .002(16,000-N), while the supply of labor is N=1000 + 1000w. Find the market clearing real wage rate and level of employment. What happens to the wage rate and employment if wealth rises, reducing the supply of labor to N= 500 + 1000w? As in (a), what is the unemployment rate if real wage is 1 more than the equilibrium wage? (hint: solve the real wage and then add it by 1, then find the difference of quantity of labor supplied and demanded).

Please answer no. 4 only