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4. A FI has issued a one-year loan commitment of $2 million for an up-front fee of 25 basis points. The back-end fee on the
4. A FI has issued a one-year loan commitment of $2 million for an up-front fee of 25 basis points. The back-end fee on the unused portion of the commitment is 10 basis points. The FI's base rate on loans is 7.5 percent and loans to this customer carry a risk premium of 2.5 percent. The FI requires a compensating balance on loans of 5 percent in the form of demand deposits. Reserve requirements on demand deposits are 8 percent. The customer is expected to draw down 80 percent of the commitment at the beginning of the year. a. What is the expected return on the loan without taking future values into consideration? Using the formula: 1+k=1+td[b(td)(1RR)]f1+f2(1td)+(BR+)td. 1+k=1+[(0.0025)+(0.0010)(10.80)+(0.075+0.025)(0.80)]/{0.80[0.05(0.80)(10.08)]}=>1+k=1.10836,ork=10.836percent. Alternatively, using dollar values: \begin{tabular}{|c|c|c|c|} \hline Up-front fees & =0.0025$2,000,000 & = & $5,000 \\ \hline Interest income & =0.10$2,000,000(.80) & = & 160,000 \\ \hline Back-end fee & =0.0010$2,000,000(1.80) & = & 400 \\ \hline Total & & = & $165,400 \\ \hline \end{tabular} Funds committed =$2,000,000(0.80) - $80,000 (compensating balances =$2,000,000x 0.800.05)+$6,400 (reserve requirements on demand deposits =$80,0000.08 ) = $1,526,400. Expected rate of return =$165,400/$1,526,400=10.836% b. What is the expected return using future values? That is, the net fee and interest income are evaluated at the end of the year when the loan is due? Using the formula: 1+k=1+[(0.0025(1+0.06)]+0.0010(10.80)+(0.075+0.025)(0.80)]/{0.80[0.05(0.80)(10.08)]}1+k=1.108556,ork=10.8556percent. Using dollar values, the only difference is that the up-front fee is estimated at year-end, i.e., $5,0001.06=$5,300. Thus, expected return =$165,700/$1,526,400=10.8556%. hello, I know the step but I am stuck in (1+.06) where does that come from? thank you
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