question archive Answer the following questions with calculations please: 1
Subject:FinancePrice:2.86 Bought3
Answer the following questions with calculations please:
1. If an investor buys a T-bill at a bank discount quote of 6.80 with 120 days to maturity. What is the investor's actual annual rate of return on this investment?
2. If a price weighted stock index is based on 5 stocks. The stock prices for the five stocks are $14, $26, $90, $70 and $60. The price of the last stock was just split 2 for 1 and the stock price was halved from $60 to $30. What is the new divisor for this index?
3. A market value index has three stocks. Yesterday the three stocks were priced at $18, $30, and $90. The number of outstanding shares for each is 300,000 shares, 250,000 shares, and 100,000 shares, respectively. If the stock prices changed to $24, $27, and $135 today respectively, what is the one-day rate of return on the index?
4. A common stock has a required return of 17.5% and a beta of 1.75. If the expected risk free return is 3%, what is the expected return for the market based on the CAPM?
5. The expected return on the market portfolio is 15%. The risk-free rate is 8%. The expected return on XY Corp. common stock is 16%. The beta of XY Corp. common stock is 1.25. According to CAPM, Is the stock overpriced, underpriced, or fairly priced, Why?
1.
=1/(1-discount yield*d/360)-1
=1/(1-6.8%*120/360)-1=2.31923601637107%
2.
=(P11+P21+P31+P41+P51)/((P10+P20+P30+P40+P50)/5)
=(14+26+90+70+30)/((14+26+90+70+60)/5)=4.42307692307692
3.
=(Q1*P11+Q2*P21+Q3*P31)/(Q1*P10+Q2*P20+Q3*P30)-1
=(300000*24+250000*27+100000*135)/(300000*18+250000*30+100000*90)-1=0.253424657534246
4.
=(expected return of stock-risk free rate)/beta+risk free rate
=(17.5%-3%)/1.75+3%=11.2857142857143%
5.
required return=risk free rate+beta*(market return-risk free rate)
=8%+1.25*(15%-8%)=16.75%
Overpriced as expected return is less than required return