Mr. Rafiq owes Mr. Ahmed Rs. 7000 to be due in 5 years and Rs. 15,000 to be due in 7 ½ years. How much should Mr. Rafiq pay at the end of 6 years which may be acceptable to Mr. Ahmed if money is worth 8% compounded semi-annually?

Respuesta :

Answer:

The correct response is "$20906.15".

Explanation:

Mr. Rafiq assigns Rs. 7000 should Mr. Ahmed to have been attributable throughout five years as well as Rs. 15000 to have been expected within seven and a half years.  

Interest rate is,

r = 8%

Therefore at that age of 6 years, every single transaction becoming FV with payment after five years probably PV of compensation at 7 ½ years.

Now,

At year 6, the single payment will be:

= [tex]CF5\times (1+\frac{r}{2})^{2\times 1} + \frac{CF6}{(1+\frac{r}{2})^}{2\times 1.5}[/tex]

At year 6, the payment will be:

= [tex]7000\times (1+\frac{0.08}{2} )^2 + \frac{15000}{(1+\frac{0.08}{2})^2}[/tex]

= [tex]20906.15[/tex] ($)