How much would you pay for a $2-$year, $\%10$ coupon compounded annualy, $100$ per value bond when similar bonds are yielding $10\%?(10$ points$)$

Using the follwing data calculate the dirty price of the bond. $(10$ points$)$

$\backslash$table$[[$Clean price,$915],[$Acrued interest,$40]]$

$A_1+CP=DP-A_1+A_1$

$DP=AI+CP=915+40$

What is the trading price?

$=955$

If you purchase a pure discount bond on August $23,2024,$ and it matures in two years on August $23,2026$ with a face value of $lon5,000,$ and $YTM$ is $20\%,$ what is the price of this bond? Assume annual compounding. $(10$ points$)$

The modified duration of the bond in the first question is $1\mathrm{.}909$ years. What is modified duration of this bond? If there is $1\%(100$ basis points$)$ increase in bond's interest rate, what is the new market value of this bond with duration based approach. $(10$ points$)$

What is the value of stock that paid of $1$ dividend recently per share with a constant growth rate of $10\%$ and has a required rate of $15\%?$ What is the value of growth? $(10$ points$)$

$V_{OG}=se-5P=22-6\mathrm{.}67$

$=15\mathrm{.}33$

Free cash flow to firm is $400$ million in year zero. It is expected to grow $4\%$ annually: Total financial debt of the company is $1000$ mil and cost of funds is $14\%.$ What is the value of the campany? What is the value of the equity? If the number of shares is $100$ million, what is the value per share? $(10$ points$)$

Using the following data calculate the expected return and standard deviation of this portfolio? $(10$ points$)$

Expected return of market portfolio

Expected return $of$ market potrortfolio $0\mathrm{.}25$

Standard deviation $of$ market porf $0\mathrm{.}05$

Risk free rate of return $0\mathrm{.}05$

Money to be invested in market portfolio

Money to be in Treasure bill

$0\mathrm{.}15$

$75$ million

$25$ million