Q 5 You decide to start a new taxi service in your spare time. The first thing you need to do is buy a car. After visiting Mr. Charming Salesman at Sundance Used Cars, you have narrowed your choice to 3 possibilities. The three cars you can afford and their yearly net revenues (fares - gas & maintenance) are listed below. Remember each car must be replaced when it finally dies if you are to remain in business. Assuming an appropriate discount rate of 3.5% which one would you buy?
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Q6
A common stock pays quarterly dividends. A dividend of $1.00 per share has just been paid. Dividends are expected to grow 5% per quarter for the next two years, then 2% per quarter forever. If the required rate of return is 16% per year, compounded quarterly, find the price of the stock.
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1- $63.41 |
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2- $68.77 '''''''''''''''''''''''''''''''''''''''''''''''''''' Q7 The following two bonds are identical in every respect except for their coupon rates (assume both have a face value of $1,000). If interest rates suddenly increased by 5%, what will happen to the prices of these two bonds, all else held constant?
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Q5
EAA of VW Bug=(-500+800/1.035+800/1.035^2+800/1.035^3)*3.5%/(1-1/1.035^3)=621.53
EAA of Yugo=(-1800+1400/1.035+1400/1.035^2)*3.5%/(1-1/1.035^2)=452.48
EAA of Ford Tempo=(-3000+1400/1.035+1400/1.035^2+1400/1.035^3+1400/1.035^4)*3.5%/(1-1/1.035^4)=583.25
We would buy highest EAA car that is VW
Option 2-Buy the VW it has the highest EAA at $621.53
Q6
Price=1.05/1.04+1.05^2/1.04^2+1.05^3/1.04^3+1.05^4/1.04^4+1.05^5/1.04^5+1.05^6/1.04^6+1.05^7/1.04^7+1.05^8/1.04^8+(1.05^8*1.02/(4%-2%))/1.04^8=63.41
Option 1- $63.41
Q7
Higher coupon means lower duration and lower duration means less fall when rates rise
Option 3-Bond B’s percentage drop in price will be greater than Bond A’s percentage drop in price
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