* You put the amount of money I into a bank at the interest rate r = at + ẞ at time t = to, where a > 0 and ẞ > 0 are constants. (a) Determine, showing all steps, the amount of money I(t) you will have at time t > to. • (b) Is your investment risk-free? Explain briefly your answer.
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- Consider two assets with the following cash flow streams: Asset A generates $4 at t=1, $3 at t=2, and $10 at t=3. Asset B generates $2 at t=1, $X at t=2, and $10 at t=3. Suppose X=6 and the interest rate r is constant. For r=0.1, calculate the present value of the two assets. Determine the set of all interest rates {r} such that asset A is more valuable than asset Draw the present value of the assets as a function of the interest rate. Suppose r=0.2. Find the value X such that the present value of asset B is 12. Suppose the (one-period) interest rates are variable and given as follows: r01=0.1,r12=0.2, r23=0.3. Calculate the yield to maturity of asset A. (You can use Excel or ascientific calculator to find the solution numerically.)Consider the calculation of an external rate of return (ERR). The positive cash flows in the cash flow profile are moved forward to t = n using what value of i in the (F|P,i,n–t) factors? a. 0 b. The unknown value of ERR (i′) c. MARR d. IRR.What can you calculate with the Excel argument FV? Number of periods of time for a loan or investment. Interest rate. Future value of an investment based on a constant interest rate. The constant periodic payment required to pay off a loan or investment.
- Give typing answer with explanation and conclusionConsider two assets with the following cash flow streams: Asset A generates $4 at t=1, $3 at t=2, and $10 at t=3. Asset B generates $2 at t=1, $X at t=2, and $10 at t=3. Suppose X=6 and the interest rate r is constant. Suppose r=0.2. Find the value X such that the present value of asset B is 12. Suppose the (one-period) interest rates are variable and given as follows: r01=0.1,r12=0.2, r23=0.3. Calculate the yield to maturity of asset A. (You can use Excel or ascientific calculator to find the solution numerically.)State the formulae you will need to compute the number of shares in a portfolio and the capital deposited in the bank at any time t, 0 ≤ t ≤ 1 in geometric Brownian motion
- Solve it correctly please. I will rate accordingly. Solve by graphical method only.Could you use formulas in order to get those answers, like the images I have attached to this follow-up questions?6. Suppose the modeling allows S → 0, (a) What is the value of a Call? (b) What is the value of a Put? (c) Explain both answers in terms of finance.
- Select all the correct statements. The internal rate of return (IRR) generated by a positive cash flow stream of n payments a. is always given by the solution of a quadratic equation b. is always bigger or equal than -1 c. can be -2 for a suitable cashflow d. can be 17 for a suitable cashflow e. is always smaller or equal than +1Consider the model, C = N(d1)St − N(d2)Ke−rt, where d1 =[ln st/K+ (r +σ2/2) t ] /σ√t and d2 = d1 − σ√t. State the above model and explain the importance of the model in mathematics of finance.Consider two assets with the following cash flow streams:Asset A generates $4 at t=1, $3 at t=2, and $10at t=3. Asset B generates $2 at t=1, $X at t=2, and $10at t=3.Suppose X=6 and the interest rate r is constant. (a)For r=0.1, calculate the present value of the two assets. (b)Determine the set of all interest rates {r} such that asset A is more valuable than asset B. (c)Draw the present value of the assets as a function of the interest rate. (d)Suppose r=0.2.Find the value X such that the present value of asset B is 12. (e)Suppose the (one-period) interest rates are variable and given as follows: r01=0.1, r12=0.2, r23=0.3. Calculate the yield to maturity of asset A.